Using the Factor Theorem to find the function, the correct statement is:
The function is positive on (0,∞).
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
The described roots means that:
[tex]x_1 = 0, x_2 = x_3 = x_4 = x_5 = 2[/tex]
Hence the function is:
f(x) = x(x - 2)^4
(x - 2)^4 is always positive, hence the sign depends on the sign of x, which means that the correct statement is:
The function is positive on (0,∞).
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Find the amount in the account for the given principal, interest rate, time, and compounding period.
P=$900 , R=5% ,T=6 years : compounded quarterly
The balance of the account with the given data is given as follows:
$1,212.62.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which the parameters are given as follows:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameter values for this problem are given as follows:
P = 900, r = 0.05, n = 4, t = 6.
Meaning that the balance is given as follows:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(t) = 900\left(1 + \frac{0.05}{4}\right)^{4 \times 6}[/tex]
A(6) = $1,212.62.
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If the m<1 = (6x-20), and the m<8 (4x-30), what is the m<7?
The angle m∠7 corresponds to angle m∠3 which is vertically opposite the angle m∠1, and so the measure of the angle m∠7 = 118°
How to evaluate for the angle m∠7angles m∠1 and m∠3 are vertically opposite angles and are said to be equal so;
m∠1 = m∠3 = 6x - 20
angles m∠3 and m∠7 are corresponding angles and are said to be equal so;
m∠3 = m∠7 = 6x - 20
angles m∠7 and m∠8 lie on a straight line so;
6x - 20 + 4x - 30 = 180°
10x - 50° = 180°
10x = 180° + 50° {collect like terms}
10x = 230°
x = 230°/10 {divide through by 10}
x = 23
Therefore since the value of x is 23, then the measure of the angle m∠7 = 6(23) - 20, which result to 118°
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Find the total surface area for the rectangular prism.
The rectangular prism shown is 8 inches by 7.5 inches by
6 inches.
Use the formula:
Now, substitute
B.
1.5
for P,
for h and
Rewrite the formula with the numbers:
The total surface area is:
Next find just the lateral surface area
Use the formula:
Now, substitute
for P and for h.
The lateral surface area is:
Rewrite the formula with the numbers:
for
When the length, breadth, and height are provided as 8 inches, 7.5 inches, and 6 inches, respectively, the rectangular prism's total surface area is 360 inches2.
what is surface area ?Surface area is a measure of how much space an object's surface takes up overall. The total area of a three-dimensional shape's surroundings is its surface area. Surface area refers to the total surface area of a three-dimensional shape. You may compute the surface area of a cuboid with six rectangular faces by adding together their individual areas. Alternatively, you can use the following formula to name the box's dimensions: Surface (SA) = 2lh plus 2lw plus 2hw. A three-dimensional shape's surface area is calculated as the total amount of space it occupies (a three-dimensional shape is a shape that has height, width, and depth).
given
rectangle prism has a length of 8 inches and a width of 7.5 inches.
6 inches is the rectangular prism's height.
SA equals two square units of (lh + wh + lw).
A=360 inches2
When the length, breadth, and height are provided as 8 inches, 7.5 inches, and 6 inches, respectively, the rectangular prism's total surface area is 360 inches2.
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write the equation of a vertical line that goes through the point (8,4).
Answer: A vertical line has an undefined slope, so we cannot use the slope-intercept form (y = mx + b) to write the equation of the line. Instead, we can use the point-slope form (y - y1 = m(x - x1)) where the slope m is undefined and we have a point (x1,y1) on the line.
Since the line goes through the point (8,4), we can use the point (8,4) in the point-slope form:
y - 4 = undefined(x - 8)
We can simplify this equation by dropping the undefined slope and replacing it with a variable:
y = kx + b
Where k is the slope and b is the y-intercept.
The equation of the vertical line that goes through the point (8,4) is x = 8
It's worth noting that the x-coordinate of a vertical line doesn't change, thus it's equal to a constant value and the equation for a vertical line is of the form x=k where k is a constant.
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
The equation of a vertical line is in the form:
x = anumber
You were given the point (8,4) which is in the form (x,y). So x is 8 and y is 4.
x is 8
x = 8
Determine if the following are true or false:
As n increases the t-distribution approaches the standard normal distribution. (T/F)
As n increases, the tails in the t- distribution become "fatter".(T/F)
The shape of a t-distribution depends on its degrees of freedom. (T/F)
We will always use a student'st distribution when we are given raw data to analyze, regardless if we know the population standard deviation or not.(T/F)
t-distributions are similar in shape to the standard normal curve. (T/F)
We use the Student's t-distribution when we estimate the mean of a population that is normally distributed, has an unknown standard deviation, and small n(T/F)
We estimate the mean of a population that is normally distributed, has an unknown standard deviation, and small n, because it allows us to make better predictions about the population mean than the standard normal curve.
True, True, True, False, True, True.
The formula for the t-distribution is given by:
t = (x-μ)/(s/√n)
Where x is the mean of the sample, μ is the mean of the population, s is the sample standard deviation, and n is the sample size.
The t-distribution approaches the standard normal distribution as n increases because the denominator, s/√n, gets smaller, making the t-distribution smaller. As n increases, the tails in the t-distribution become "fatter" because the denominator in the formula gets smaller and the resulting t-distribution has a wider range of values.
The shape of the t-distribution depends on its degrees of freedom, which is the number of values in the sample minus one. The more degrees of freedom, the more the t-distribution resembles the standard normal curve.
We use the Student's t-distribution when we estimate the mean of a population that is normally distributed, has an unknown standard deviation, and small n, because it allows us to make better predictions about the population mean than the standard normal curve.
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Greta has two pet lizards, Draco and Lizzy. For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets. Last week, Greta fed Draco 77 crickets.
How many crickets did Greta feed Lizzy?
How many crickets did Greta feed Lizzy?
Answer:
56
Step-by-step explanation:
For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets.
Since Gretta fed Draco 77 crickets just do:
77 ÷ 11
= 7
Then:
8 x 7
= 56
You're welcome
Can someone solve this please I really need the answer and your help
The cost of Adult ticket is $ 4 and Cost of Children ticket is $ 3.
What is System of Linear Equation ?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, whereas B is a constant. A linear equation with two variables has the standard form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
A linear equation is an algebraic equation in which each term has an exponent of 1, and which, when plotted on a graph, always yields a straight line. It is called a "linear equation" for this reason.
The cost of adult ticket be x and child ticket be y respectively.
Now as per sum ,
(i) 5x + 13y = 59 and,
(ii) 5x + 9y = 47
Subtracting equation (ii) from (i) we get,
13y - 9y = 59 - 47
⇒ 4y = 12
⇒ y = 3
putting y = 3 in equation (ii) we get
5x + 9*3 = 47 ⇒ x = 20/5 = 4
The cost of Adult ticket is $ 4 and Cost of Children ticket is $ 3.
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Bianca deposits $3,000
in a savings account earning 4.25%
simple interest per year.
How much interest will Bianca earn for a period of 3
years?
Bianca will earn interest of $382.5 for a period of 3years.
What is simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time. In simple interest, the principal amount is always the same.
Simple interest is calculated with the following formula:
S.I. = P × R × T,
where P = Principal, R = Rate of Interest in % per annum, and T = Time
Given,
Principal P = $3000
Rate of interest R = 4.25% = 4.25/100 = 0.0425
Time T = 3 years
Simple interest S.I. = P × R × T
= 3000 × 0.0425 × 3
= 127.5 × 3
S.I. = $382.5
Hence, Interest Bianca will earn in 3 years = $382.5
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How do you find the values of a function?
f(x)=mx+b. The function's value is f(x). The line's slope is m. When x is equal to 0, the function's value is equal to b.
what is function ?The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
iven
f(x)=mx+b. The function's value is f(x). The line's slope is m.
When x is equal to 0, the function's value is equal to b, which is also the coordinate at where the line in the coordinate plane crosses the y-axis.
The x-value coordinate's is given by x.
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What triangle has 70?
A triangle with two equal side lengths is known as an isosceles triangle. The angle of an isosceles triangle is 70 degrees.
A triangle is a three-sided geometry shape with 3 vertices. The internal angle of the triangle, which is 180 degrees, is built. It means that a triangle's internal angles sum to 180 degrees.
A triangle with two equal side lengths is known as an isosceles triangle. The vertex angle is the leftover angle that results from subtracting the two specified angles from 180 degrees. The two angles between it base and equal sides are identical in magnitude.
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If a man work for 8 hour a day, he can finih a job in 12 day. How many hour per day mut he work to complete it in 10 day?
He must work for 10 hours a day to complete the job in 10 days. 10 hours per day is the optimal amount of time to finish the job in 10 days
1. Begin by setting up an equation. Let x be the number of hours worked.
2. 8 hours x 12 days = 96 hours
3. We want to finish the job in 10 days, so 10x = 96
4. Solve for x. 10x = 96, x = 9.6
5. Since we can't work partial hours, round up to 10 hours. Therefore, the man must work 10 hours a day to complete the job in 10 days.
To finish the job in 10 days, the man must work for a total of 100 hours. This means he must work for 10 hours a day to complete the job in the allotted time. Working 8 hours a day would take 12 days, and working 9 hours a day would take 11.11 days. Therefore, 10 hours per day is the optimal amount of time to finish the job in 10 days.
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Jaylen ha a fun-ize bag SweetTart. Inide the bag are 4 pink, 1 blue, 2 yellow, 3 purple and 2 green SweetTart. What i the probability of drawing a yellow SweetTart three time in a row if each SweetTart elected i eaten before the next SweetTart i drawn?
The probability of drawing a yellow SweetTart three times in a row is (2/15) x (1/14) x (2/13) = 0.0002692.
1. There are a total of 15 SweetTarts in the bag (4 pink, 1 blue, 2 yellow, 3 purple and 2 green SweetTarts).
2. The probability of drawing a yellow SweetTart first is 2/15.
3. The probability of drawing a yellow SweetTart second is 1/14 (since one yellow SweetTart has already been drawn).
4. The probability of drawing a yellow SweetTart third is 2/13 (since two yellow SweetTarts have already been drawn).
5. The overall probability of drawing a yellow SweetTart three times in a row is (2/15) x (1/14) x (2/13) = 0.0002692.
The probability of drawing a yellow SweetTart three times in a row is (2/15) x (1/14) x (2/13) = 0.0002692.
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What are some examples of exponential relationships?
An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.
An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
The exponential function is an important mathematical function which is of the form
f(x) = [tex]a^x[/tex]
Where a>0 and a is not equal to 1.
x is any real number.
If the variable is negative, the function is undefined for -1 < x < 1.
Here,
“x” is a variable
“a” is a constant, which is the base of the function.
The examples of exponential functions are:
f(x) = [tex]2^x[/tex]
f(x) = 1/ [tex]2^x[/tex] = [tex]2^-x[/tex]
f(x) =[tex]2^(x+3)[/tex]
f(x) = [tex]0.5^x[/tex]
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Is it possible to draw a triangle the lengths of whose sides are 2.5 cm 4.5 cm 8cm?
It is possible to construct a triangle whose sides are 2.5 cm 4.5 cm and 8 cm because the sum of two sides(2.5 cm and 4.5 cm) are smaller than three sides(8 cm).
In the given question, we have to check that it is possible to construct a triangle whose sides are 2.5 cm 4.5 cm and 8 cm.
The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.
To check this we firstly add the 2.5 and 4.5
2.5 + 4.5 < 8
7 < 8
Now we add 2.5 and 8
2.5 + 8 > 4.5
10.5 > 4.5
Now we add 4.5 and 8
4.5 + 8 > 2.5
12.5 > 2.5
It is possible to construct a triangle whose sides are 2.5 cm 4.5 cm and 8 cm because the sum of two sides(2.5 cm and 4.5 cm) are smaller than three sides(8 cm).
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Is difference a minus?
The difference's mathematical equivalent is minus (-). In the subtraction statement, minuend is the initial digit.
Mathematical difference is the outcome of one of the key operations, which is the subtraction of two numbers. It reveals the degree to which one number deviates from the other.
In math, the goal of calculating the difference is to determine how many numbers are present between the two supplied numbers. The difference's mathematical equivalent is minus (-).
In the subtraction statement, minuend is the initial digit. The second number in the subtraction sentence is called subtract, and the outcome is the difference between the two integers.
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Jon Marc is ordering bark dust for two clients. Each client has a circular flower bed. Jon Marc
knows the radius of one flower bed is 6.5 feet and the diameter of the other is 30 feet. How
many square feet of bark dust should Jon Marc order?
Answer:
Jon Marc knows the radius of one flower bed is 6.5 feet and the diameter of the other is 30 feet. a. Find the area of each flower bed. Use 3.14 for π.
Step-by-step explanation:
Calculate the monthly payment for a loan of $7,500 with an 11% interest rate compounded monthly over a period of 5 years. a. $128.46 b. $163.07 c. $858.18 d. $1541.50 please select the best answer from the choices provided a b c d
Option b is correct monthly payment = $163.07
A loan of $7,500 with an 11% interest rate compounded monthly over a time period of 5 years.
Monthly Payment = Amount / Discount factor
Discount factor [tex]D = \frac{1-(1+i)^{n} }{i}[/tex]
where,
Amount = $7500
Rate= 11%=0.11
[tex]i = \frac{0.11}{12} = 0.0091[/tex] ( by using division)
Time = 5 years
Time (n) = 5 × 12 = 60
Now, put i and n in the Discount factor,
[tex]D = \frac{1-(1+i)^{n} }{i}[/tex]
[tex]D = \frac{1-(1+0.009)^{-60} }{0.009}[/tex]
[tex]D = \frac{1-(1.009)^{-60} }{0.009}[/tex]
[tex]D = \frac{0.421 }{0.009}[/tex]
D = 46.77
Monthly payment (M),
[tex]M = \frac{Amount}{Discout factor} = \frac{A}{D}[/tex]
[tex]M = \frac{7500}{46.77}[/tex] ( by using division)
Monthly payment = 163.07
Therefore, Option b is the correct monthly payment = $163.07.
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What is R1 and R2 in lens maker formula?
In the lens maker's formula, R1 and R2 represent the radii of curvature
The lens maker's method specifies the association among the focal length, refractive index, and curvature radii of a lens's two surfaces. It's a method that lens makers employ to make lenses with a particular power out of the glass with a particular refractive index.
R1 and R2 in the lens manufacturer's formula stand for the radii of curvature of the two surfaces of a lens. R1 and R2 are the radiuses of the surfaces that face the item being imaged and the surface that faces the image, respectively. A lens's focal length is calculated using a formula based on the lens's surface curvature and the material's refractive index.
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HELP
im dont know this
Answer:
C
Step-by-step explanation:
use 0 and 3 for example:
replace x with 0 give you 2*0=0
add 0 with 3 and you get 3
6. Ali and Steve share some sweets in the ratio 2:7
Steve gets 30 more sweets than Ali.
Work out how many sweets Steve gets.
The required amount of sweets Steve will get is 42.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
here,
Ali and Steve share some sweets in a ratio of 2:7 Steve gets 30 more sweets than Ali.
Let the amount of sweet Ali and steve be x and y,
According to the question,
x / y = 2/7
x = 2y/7 - - - - (1)
And
y = 30 + x
From equation 1
y = 30 + 2y / 7
5y = 30 × 7
y = 42
Now,
x = 2 × 42 /7
x = 12
Thus, the required amount of sweets Steve will get is 42.
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URGENT HELP! PICTURES ATTACHED.
The perimeter of the rectangle, given that the rectangle has an area of 40 ft² and a length of 8 ft is 26 ft
How do I determine the perimeter of the rectangle?We'll begin by obtaining the width of the rectangle. The width of the rectangle can be obtained as follow:
Area = 40 ft²Length = 8 ftWidth =?Area = Length × Width
40 = 8 × Width
Divide both sides by 8
Width = 40 / 8
Width = 5 ft
Finally, we shall determine the perimeter of the rectangle. Details below:
Length = 8 ftWidth = 5 ft Perimeter =?Perimeter = 2(Lenght + Width)
Perimeter = 2(8 + 5)
Perimeter = 2(13)
Perimeter = 26 ft
Thus, we can conclude that the perimeter is 26 ft
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Mc Graw Hill < 3-8 Slope and Equations of Lines Question 10 of 12 ✓ Question 10 X = D Find the value of x that satisfies the given conditions. Then graph the line on a separate sheet of paper. The line containing (4, -2) and (x,-6) is perpendicular to the line containing (-2,-9) and (3,-4).
To solve the problem, we must first find the slope of the line containing (4, -2) and (x, -6). The slope of a line is calculated as the change in y-coordinates divided by the change in x-coordinates, or (y2 - y1) / (x2 - x1). In this case, the slope of the line containing (4, -2) and (x, -6) is (-6 - (-2)) / (x - 4) = -4 / (x - 4)
Since the line containing (4, -2) and (x,-6) is perpendicular to the line containing (-2,-9) and (3,-4), we know that the product of the slopes of these two lines is -1. We can use that information to find the slope of the second line: -1 = (-4 / (x - 4)) * m, where m is the slope of the second line. Solving for m, we get m = -1 / (-4 / (x - 4)) = (x - 4) / 4.
We can now use the point-slope form of a linear equation to find the equation of the line containing (-2,-9) and (3,-4). The point-slope form is y - y1 = m(x - x1). In this case, we can use (-2,-9) as (x1, y1) and (x - 4) / 4 as m:
y - (-9) = (x - 4) / 4 * (x + 2)
Simplifying we get y = (x-4)/4 + (-9) = (x-4)/4 - 9
Now we can substitute x = -2 and y = -9 to check if it belongs to this line:
-9 = (-2 - 4)/4 - 9
-9 = -2/4 - 9
-9 = -0.5 - 9
-9 = -9.5
It match so this line is the correct one.
The value of x that satisfies the given conditions is x = -2
You can graph this line on a separate sheet of paper by plotting the point (-2, -9) and using the slope (x-4)/4 to find additional points on the line.
The measure of <1 is 125 degrees . Find the measure of <4.
Answer:
55°
Step-by-step explanation:
so the total should be 360, so if 2 angles are 125 (360-250=110) then the leftover 110 has to be split into 2 angles, which is 55
Type the correct answer in the box. Round your answer to the nearest whole number.
The mass of Venus is 4.87 × 1024 kilograms, and the mass of Jupiter is 1,898 × 1024 kilograms.
The mass of Jupiter is about _____ times the mass of Venus.
Answer:
The mass of Jupiter is about 11.8 times the mass of Venus.
Step-by-step explanation:
I really need help besties what is 67=-7x-10
Answer:
x = 11
Step-by-step explanation:
We'll have to get X alone by doing the opposite of what the current equation is showing
67 = 7x-10. I usually turn the numbers around cause it looks better...
7x-10 = 67
We see it's subtracting 10, so we'll add 10 on both sides
7x = 67 + 10
7x = 77
Since 7x is being multiplied, we'll divide on both sides
x = 77/7
x = 11
Answer: -11
Step-by-step explanation:
rearrange it so it's -7x-10=67
add 10 to itself and 67
then you get -7x=77
then divide 77 by -7
and you get -11
i hope this was right :)
Solve for the missing variable. Round to the nearest hundredth.
X
8
20
Answer:
656
Step-by-step explanation:
what is 5 divided by 2/3 as a fraction
Answer: 7 and 1/2
Step-by-step explanation:
When dividing a fraction by a whole number you could turn the whole number into a fraction:
5 = 5/1
Once you turn the whole number into a fraction you then do the keep, change, flip, method
you would keep 5/1 as it is and change the divide sign to the multiplication sign the flip 2/3 to 3/2:
5/1 x 3/2
then you just multiply across
5/1 x 3/2 = 15/2
and 15/2 could be simplified to 7 and 1/2
15/12 is the right representation of 5 divided by 2/3 as a fraction.
To divide a number by a fraction, you can multiply the number by the reciprocal of the fraction. In this case, to divide 5 by 2/3, you can multiply 5 by the reciprocal of 2/3.
Reciprocal of 2/3 = 3/2
So, 5 divided by 2/3 can be written as:
5 * (3/2)
To simplify this, you multiply the numerators together and the denominators together:
(5 * 3) / (2 * 1) = 15/2
Therefore, 5 divided by 2/3 is equal to 15/2 as a fraction.
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SOMEONE HELP ASAP. THIS IS DUE IN A FEW HOURS AND THE LAST QUESTION I NEED.
It will be much appreciated, and I will add rewards
Ignore the 18/15=1.2, I am in a rush
Assumption 1: [tex]\triangle ABE \sim \triangle ACD/tex]
[tex]\frac{x}{10}=\frac{3}{15} \implies x=2[/tex]
Assumption 2: [tex]\triangle ABE \sim \triangle ADC[/tex]
[tex]\frac{x}{15}=\frac{3}{10} \implies x=4.5[/tex]
Joe told Mickey he got an hourly raie at work and hi new rate will be $10. 25 per hour. Mickey want to know what Joe’ hourly rate wa before hi raie. If r repreent the amount of the raie, which expreion repreent Joe’ hourly rate before hi raie?
Joe's hourly rate before his raise is represented by the expression 10.25 - r, where r is the amount of the raise.
Joe's hourly rate before his raise is represented by the expression 10.25 - r, where r is the amount of the raise. The expression 10.25 - r represents the amount of Joe's hourly rate before his raise. This is because when we subtract r from 10.25, we are essentially taking away the raise that Joe received, which leaves us with the amount of his hourly rate before he received the raise. In other words, Joe's hourly rate before his raise is 10.25 minus the amount of the raise. This expression is used to calculate the amount of Joe's hourly rate before his raise.
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Determine whether the ytem ha no olution, one olution, or infinitely many olution. If the ytem ha one olution, name it. Xy= 5
3x5y=15
The solution of the given system of equation x + y = 5 , 3x + 5y = 15 represents it has one solution given by intersecting lines at point
(x, y ) = ( 5, 0).
As given in the question,
Given system of equation is :
x + y = 5 __(1)
3x + 5y = 15 ___(2)
The standard rule to get the solution of the system of equation is given by :
a₁x + b₁y + c₁ = 0
a₂x + b₂y + c₂= 0
One solution :
a₁ / a₂ ≠ b₁ / b₂
No solution :
a₁ / a₂ = b₁ / b₂ ≠ c₁/c₂
Infinitely many solution :
a₁ / a₂ = b₁ / b₂ = c₁/c₂
Here in the given system of equation:
1/3 ≠ 1/5
One solution exist.
Solve by elimination method.
Multiply (1) by 3 and subtract from (2) we get,
3x + 5y = 15
3x + 3y = 15
2y = 0
⇒y =0
Substitute y =0 in (1) we get,
x = 5
It represents both the lines intersect at point ( x, y) = ( 5,0)
Therefore , the given system of equation has one solution equal to
intersecting point ( x, y) = ( 5,0).
The above question is incomplete , the complete question is :
Determine whether the system of equation has no solution, one solution, or infinitely many solution. If the system of equation has one solution, name it.
x + y = 5
3x + 5y = 15
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