The system of equations .5(5x + 4) = 17.5x + 14 have Infinite solutions.
What are simultaneous equations?We know two simultaneous equations have a unique solution when they intersect at a point,
when they are parallel they have no solution and when they are coinciding they have an infinite no. of solutions.
Given, A system of equation 3.5(5x + 4) = 17.5x + 14.
17.5x + 14 = 17.5x + 14.
As the LSH and RHS are equal the equation of the two lines is the same and hence they coincide and have an infinite number of solutions.
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A line is parallel to y = 4x + 11 and
intersects the point (-2, 4). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y₁ = m(x − x1)
Then write the equation in slope-intercept form.
Enter
Answer:
y=4x+12
Step-by-step explanation:
if a line is parallel to another they have the same slope ,,
y=mx+c
where m represents the slope
and c represents the intercepted part of y axis
so the slope equals 4 from y=4x+11
to find the intercepted part c ,, substitute by the given point in the equation y=mx+c
(-2,4),, and slope is 4
4= 4×-2+c
4= -8+c
c= 12
so the equation is
y=4x+12
Answer:
y =4x-18
Step-by-step explanation:
y +2 = 4(x - 4)
y +2 =4x-16
y = 4x-18
In 2010, the population of a city was 59,000. From 2010 to 2015, the population grew by 7.3%. From 2015 to 2020, it fell by 5.3%. To the nearest whole number, by what percent did the city grow from 2010 to 2020?
To the nearest percent, the percent by which the population grew from 2010 to 2020 is; 2%
How to find the percentage growth?Percentage increase is defined as the difference between the final value and the initial value, expressed in the form of a percentage.
Now, we are told that;
Initial Population in 2010 = 59000
From 2010 to 2015, the population grew by 7.3%. Thus;
Population in 2015 = 1.073 * 59000 = 63307
Now, we are told that from 2015 to 2020, it fell by 5.3%. Thus;
Population in 2020 = 63307 * (100% - 5.3%)
= 59952
Thus, percentage increase from 2010 to 2020 = (59952 - 59000)/59000) * 100% = 1.61% ≈ 2%
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Y=6 and x=-1 parallel or perpendicular line
Answer:
perpendicular
Step-by-step explanation:
EU Migration Study
Discussion Question: In the EU migration study, 257 of the 583 immigrants
sampled were male. Let's assume the Trump/Farage claim is true: 60% of all
immigrants are male (p = 0. 60). What is the probability of obtaining 257 or fewer
males in a sample of 583 immigrants? Does this probability make you doubt the
Trump/Farage claim? Why or why not?
P
Normal(up= 0. 6, Op=. 020)
ộ ô
Ô P
ppp
PPPP
ppppppp
Skew The
Scrint
This probability does not support the Trump/Farage claim that 60% of all immigrants are male.
What is the probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes, and how likely they are.
The probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found using the binomial probability formula, which calculates the probability of a specific number of successes (male immigrants) in a fixed number of trials (sample size) with a fixed probability of success (p = 0.60).
Using the binomial formula, the probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found by summing the probabilities of obtaining 257 males, 256 males, 255 males, etc. up to 0 males.
Using a binomial calculator, we can find that the probability of obtaining 257 or fewer males in a sample of 583 immigrants is about 0.04.
This probability is quite low, which suggests that it is unlikely to obtain 257 or fewer males in a sample of 583 immigrants if the proportion of male immigrants is actually 60%.
Therefore, this probability does not support the Trump/Farage claim that 60% of all immigrants are male.
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I NEED ANSWERS ASAP!!!!!!!!!!!
If WY is 4. 6, what is MZ? Round your
answer to the nearest tenth. Write NA if there
is not enough information given.
NA (There is not enough information given to determine the value of MZ)
In this question, we are given that WY is 4.6 for us to find the value of MZ We need more information to be in a position to answer this. More information includes maybe we know the value of M or at least having some relationship between WY and MZ for us to draw a conclusion and come up with the value of MZ. If at all we had a common value in WY and MZ say M then it could be easier to come to a conclusion and finally get the value of MZ.
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How do the faces of
a three-dimensional figure determine che
two-dimensional shapes created by slicing
the figure?
The process of the faces of a three-dimensional figure determine two-dimensional shapes created by slicing the figure is explained below.
The term three dimensional figure is defined as solid shapes or figures that have three dimensions.
Basically these kind of shapes has length, width and height are the dimensions of 3D shapes and the common names of these shapes are cube, cuboid, cone, cylinder and sphere.
Where as the two dimensional figure is defined as horizontal and vertical axes that is x-axis and y-axis) and it is also known as 2d shapes are flat figures that have only length and width. And thus shapes do not have thickness or height.
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y=1/4x+3 in standard form
Answer:
Step-by-step explanation:
2
I
need to show work please help me its due tomorrow
Answer:
#1
Step-by-step explanation:
boxes apples
3 6
6 12
9 18
10 20
ratio of apples to boxes is 2:1. 2 apples each box. Divide the number of apples by 2 to get the number of boxes. multiply boxes by 2 to get apples.
#2
boxes cherries
3 12
5 20
6 24
7 28
if you divide cherrie by 4 you get the number of boxes.
Multiply boxes by 4 to get cherries.
Ratio of cherries to boxes is 4 to 1.
solve for x, Give your answer as a fraction or decimal rounded to the nearest hundredth.
Using the fact that the triangles are similar, we will see that:
x = 5.626
How to find the value of x?On the image we can see two triangles, such that one is inscribed on the other.
Just because of that, it is obvious that the two triangles are similar.
And because the triangles are similar, the quotients between correspondent sides must be equal, that allows us to write the equation:
3/x = 8/15
The quotient is "left side over the bottom side"
We can solve that equation for x:
3/x = 8/15
3 = (8/15)*x
(15/8)*3 = x
45/8 = x
5.625 = x
That is the value of x.
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200 Litres of a punch that contains 35% fruit juice is mixed with 300 L of another punch. The resulting fruit
punch is 20% fruit juice. Find the percent of fruit juice in the 300L of punch.
Please help me, (with show of math)
Yes, because as x increases, y increases and because all of the pairs represent the same ratio.
What does it mean when a ratio is proportional?When two sets of provided numbers change in proportion, the ratios are said to be directly proportional if they do so in the same direction.
If two ratios or fractions are equivalent, it may be shown using the proportion formula. By dividing the supplied numbers, we may determine the value that is missing. You may write the percentage formula as a: A and d are the extreme terms, and b and c are the middle terms, according to the formula b::c: d = a/b = c/d.
Yes, because as x increases, y increases.
Yes, because all of the pairs represent the same ratio.
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Which is the product of 15 [tex]\frac{5}{12}[/tex]
( 100 POINTS )
Answer:
[tex] \sf \: \frac{75}{12} \: (or) \: 6.25[/tex]
Step-by-step explanation:
Given problem,
[tex] \sf \rightarrow \: 15 \times \frac{5}{12} [/tex]
Let's solve the problem,
[tex] \sf \rightarrow \: 15 \times \frac{5}{12} [/tex]
[tex] \sf \rightarrow \: \frac{(15 \times 5)}{12} [/tex]
[tex] \sf \rightarrow \: \frac{75}{12} = 6.25[/tex]
Hence, the product is 6.25.
I need help solving for x
To solve for x, bring the variable to one side, and bring all the remaining values to the other side by applying arithmetic operations on both sides of the equation. Simplify the values to find the result.
What Does Solve for x Mean?Let's begin with a straightforward equation: x + 2 = 7.
How do you obtain X on your own?
Take away two from both sides.
⇒ x + 2 - 2 = 7 - 2\s⇒ x = 5
Check the solution, x = 5, by reentering it into the equation. We get 5 + 2= 7.
R.H.S. L.H.S.
Utilizing triangle properties or the Pythagorean theorem, we can get a solution for the unknown side or angle of a triangle.
With the aid of an example, let's clarify how to solve for x in a triangle.
Two of ABC's legs, which measure 7 units and 24 units respectively, are right-angled at B. Look for the hypotenuse X.
By using the Pythagorean theorem to ABC,
We obtain AC2 = AB2 + BC2, where x2 = 72 + 242, 49 + 576, and 625 where x2 = 625.
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Donny is raising money for the school charity drive by mowing lawns for $9.75 per lawn. How much will he raise for the drive?
is this proportional or non proportional and why.
For two numbers to be proportional, they need to be directly increasing or decreasing in a constant ratio.
If Donny makes $9.75 per lawn, we can make a table that looks like this:
1 Lawn = $9.95
2 Lawns = $19.90
3 Lawns = $29.85...
And so on.
You can see this is proportional because it has a constant ratio between both elements.
(1 to 9.95)
So, it is proportional.
On a assembly line, 2 parts can be made per minute. There are 8 parts already made. To determine how many more minutes (x) it will take to make y total parts, the equation y=2x + 8 is written. What is the description of a solution to this problem?
The description of a solution to the problem modeled by the function y = 2x + 8 is given as follows:
The time needed to complete 40 parts is of 16 minutes.
What is the interpretation for the function in this problem?The function for this problem is defined as follows:
y = 2x + 8.
In which the variables are defined as follows:
x is the time in minutes.y is the number of parts produced.Hence, solving the function for x, we are going to obtain the time needed to produce y parts, giving the description of a solution for this problem.
When y = 40, the solution for x is given as follows:
40 = 2x + 8
2x = 32
x = 32/2
x = 16 minutes.
The interpretation of this solution is that a time of 16 minutes is needed to obtain a production of 40 parts.
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Simplify by using order of operations:
4+(9 x 2) divided by (4 - 1) -4
What is 2/3 + 1/6 + 2/8
Answer:
2/3 + 1/6 + 2/8
=(2×8+1×4+2×3)/24
=(16+4+6)/24
=26/24
=13/12
*mark me brainliest
A building with a height of 48 meter casts a shadow that is 30 meter long. A person standing next to the building casts shadow that is 0.8 meter long. How tall is the person
The height of the person is approximately 0.426 meters or 42.6 cm.
We can use the concept of similar triangles to solve this problem. The height of the building and the length of its shadow form a right triangle, with the height as the opposite side and the shadow as the hypotenuse. The person and their shadow also form a similar right triangle, with the height of the person as the opposite side and the shadow as the hypotenuse.
We can set up the following proportion:
(Height of building)/(length of shadow) = (height of person)/(length of shadow)
48/30 = h/0.8
Solving for h, we get:
h = (48/30) * 0.8 = 0.533 * 0.8 = 0.426
Therefore, the height of the person is approximately 0.426 meters or 42.6 cm.
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What is the length of the hypotenuse of a 45 45 90 triangle with a leg of 12?
It is given that a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as 12/√2
since the hypotenuse is one of the legs multiplied by √2.
dividing the hypotenuse by √2 will get the length of one leg. since it is a 45 45 90 triangle, the length of the two legs are the same.
It is given that a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as:
By using the Pythagoras theorem, we have
a^2+b^2= c^2
Substituting the given values, we have
12/√2
Thus, the length of the hypotenuse will be
12/√2
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6 less than 3 times a number 42 what is the number
Answer: -120
6 less than is 6 - and 3 times a number 42 is 3 x 42 so...
6 - (3 x 42) = -120
How do you find the inverse of a 4x4?
By adding a duplicate of the identity matrix to the augmented matrix, which was formed, it is possible to find the inverse of a square matrix using row reduction.
If the matrix is capable of being reduced to the identity, the identity matrix will simultaneously change into the inverse matrix. A rectangular array of numbers, arranged in rows and columns, is referred to as a matrix. The dimension, or order, of a matrix, indicates how many rows and columns there are in the array. For example, if a matrix has m rows and n columns, its order is expressed as mxn.
Correct Question :
How do you find the inverse of a 4x4 matrix?
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Leo's bank balances at the end of months 1, 2, and 3 are $1,500.00, $1,530.00, and $1,560.60, respectively. The balances form a geometric sequence.
What will Leo's balance be after 8 months?
Leo's bank balance will be $
after 8 months.
Leo's balance after 8 months is $1725.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
Example:
2, 4, 8, 16 is a geometric sequence.
We have,
1500, 1530, and 1560 is a geometric sequence.
First term.
a = 1500
Common ratio.
r = 1.02
The nth term of a geometric sequence is a[tex]r^{n-1}[/tex].
Now,
For n = 8,
8th term.
= 1500 x [tex]1.02^7[/tex]
= 1500 x 1.15
= 1725
Thus,
The balance after 8 months is $1725.
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I don’t know this question
help me
The number of groups of like terms is 3
What is an algebraic expression?An algebraic expression is defined as an expression made up of terms, variables, coefficients, constants, and factors.
These algebraic expressions are also composed of mathematical operations, such as;
AdditionSubtractionDivisionBracketParenthesesMultiplication, etcA term can be described a single variable, number or numbers and variables that are multiplied together.
From the information given, we have the terms;
3x¹³, 9x¹⁰, -1x¹³, -16x¹³, 3x¹⁰, 3¹³, 10x¹⁰, 13x¹⁰
The similar terms are;
3x¹³, 3x¹⁰, 3¹³
Hence, the number is 3
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Solved previously.How many three-digit positive integers $x$ satisfy $3874x 481\equiv 1205 \pmod{23}$
The solution indicates 40 positive three-digit integers of this kind are available.
What are Positive integers?The numbers used for counting as well as organizing are known as natural numbers in mathematics. Cardinal numbers and ordinal numbers are two different types of numbers that are used for counting and ordering, respectively.
Which of these integers are negative?Left of zero on the number line, a negative number is an integer. It is not zero, though.
According to the given information:Any solution x will mod 23 will also have x+23n as a solution, for some integer n.
Since;
900/23 = 39 3/23,
we know:
There are 39 or 40 three-digit integers of this form.
As it happens,
100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n,
hence 40 solutions to the equation.
The equation reduces, mod 23, to
10x = 11
Its solutions are x = 23n +8.
This shows There are 40 three-digit positive integers of this form.
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PLEASE HELP ASAP!!!
ABCD is an isosceles trapezoid with legs ▁AB and ▁CD, and base ▁BC.
If the length of ▁AB = -3y+54, the length of ▁BC = 5y+ 2, and the length of ▁CD is 6y + 9, find the value of y.
The value of 'y' in the isosceles trapezoid ABCD is 14 and this can be determined by using the properties of isosceles trapezoid.
What is Triangle ?
Triangle can be defined as which contains three sides, three angles and the sum of the angles is 180 degrees.
Given ,
ABCD is an isosceles trapezoid with legs AB and CD and base BC.
If the length of AB is (7y - 4),
the length of BC s (4y - 6),
and the length of CD is (8y - 18).
The two legs are of equal length In any isosceles trapezoid that means:
7y - 4 = 8y - 18
Add 18 on both sides in the above equation.
7y - 4 + 18 = 8y - 18 + 18
7y + 14 = 8y
Now, subtract 7y on both sides in the above equation.
7y + 14 - 7y = 8y - 7y
Simplify the above expression in order to get the value of 'y'.
y = 14
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Determine the range of f(x) = x + 51.
A-{yl-00
B-{y 1-5
C-{y|0 ≤y <∞0}
D-{y | 5 ≤y < 00}
Answer:
90670998.89999999999999
I’m doing math homework and is about functions they said f(x)= x-3 and g(x)= √x-2
After I set them up I have this
am I supposed to just add the numbers or is there something else to do?
√ (x-3)-2
Answer: It looks like you are trying to find the value of the function h(x) = √ (x-3) - 2.
To find the value of this function for a given value of x, you need to substitute the value of x into the function definition and simplify the expression.
For example, if you want to find the value of h(x) for x = 5, you would substitute 5 for x in the function definition and simplify the expression to get:
h(5) = √(5-3) - 2
= √2 - 2
= 1.4 - 2
= -0.6
Therefore, the value of h(x) for x = 5 is -0.6.
You can follow this same process to find the value of h(x) for any other value of x. Just be sure to substitute the correct value of x into the function definition and simplify the expression to find the final result.
Step-by-step explanation:
Answer:
g[f(x)]
Step-by-step explanation:
Given functions:
[tex]f(x)=x-3[/tex]
[tex]g(x)=\sqrt{x}-2[/tex]
Composite functions are when the output of one function is used as the input of another.
Therefore, to create √(x-3)-2, substitute the function f(x) in place of the x in function g(x):
[tex]\begin{aligned}\implies g[f(x)]&=\sqrt{f(x)}-2\\&=\sqrt{x-3}-2\end{aligned}[/tex]
5.07 - 2.148
????????????
Answer:
Step-by-step explanation: 2.922
Answer: 2.922
Step-by-step explanation: (Look at the attachment for the best experience, or idea) So, as you can see in the attachment below, we first need to line up the decimal points with one another. They subtract in line with the other decimals and borrow. As we know, our answer is 2.922.
Find the x and y Intercept of x + 2y = -14
Answer:
Y-intercept: (0, -7)
X-intercept: (-14,0)
Step-by-step explanation:
To find the y-intercept, we need to put 0 in for x
0 + 2y = -14
2y = -14
y = -7
So, the y-intercept is located at (0, -7)
To find the x-intercept, we need to put 0 in for y
x + 2(0) = -14
x = -14
So, the x-intercept is located at (-14,0)
Step-by-step explanation:
To find the y-intercep, we need to put 0 in for x
0 + 2y= -14
2y = -14
y = - 7
So, the y - intercept is located at ( 0, - 7)
if x-3 is directly proportional to the square y and x=5 when y=2 find x when y=6
Answer:
If x-3 is directly proportional to the square of y, then we can say that:
(x-3) = ky^2
Where k is a constant of proportionality.
If x=5 when y=2, we can substitute these values into the equation to find the value of k:
(5-3) = k(2)^2
2 = 4k
k = 0.5
Now that we have the value of k, we can use it to find the value of x when y=6:
(x-3) = (0.5)(6)^2
x-3 = 18
x = 21
So, if x is directly proportional to the square of y and x=5 when y=2, then x=21 when y=6.
fill in the table using this function rule. y=6x-36