Answers
The equation that represents the linear function is y = 11 + 7x.
What is the solution to the linear equation?
The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
We have given the rules:
x: a number
y: 11 more than 7 times x.
Linear equations are the equations of degree 1. It is the equation for the straight line.
The standard form of the linear equation is ax+by+c =0,
where a ≠ 0 and b ≠ 0.
From the given conditions we can form the linear equation:
That is,
y = 11 + 7x,
Hence, the equation that represents the linear function is y = 11 + 7x.
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Related Questions
help please!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
Not a function
Step-by-step explanation:
A function is when every input(x) has only one output (y). The input 1 has two outputs (0 and 1) so it is not a function.
The temperature during the night was -4. In the morning the temperature increased by 3. What is the temperature in the morning
Answers
Answer:
-1
Step-by-step explanation:
Night: -4
Morning: -4 + 3 = -1
BRAINLIEST FOR ANSWER UNDER 10 MINUTES The table shown represents a linear relationship.
x 0 1
3
4
y-8-6-20
Based on the table, what is the equation of the linear relationship in slope-intercept form?
Oy=2x-8
Oy = 2x+8
Oy = -2x + 4
Oy=-2x - 4
Answers
Answer: y = 2x-8
Step-by-step explanation:
Let's try to determine by substitution method. Starting from the first equation:
y = 2x-8
2·0-8 = -8
2·1-8 = -6
2·3-8 = -2
2·4-8 = 0
The first equation satisfies the conditions of the table.
Why is the discriminant a useful tool to use when solving quadratic equations?
Answers
If d>0, the the quadratic has 2 real solutions
If d=0, the quadratic has one (repeated) solution
If d<0, the quadratic has no real roots.
You must plug d in for these inequalities to determine which one is true, and that will tell you how many solutions a quadratic contains.
Help me
Like just draw on it
Answers
Answer:
Step-by-step explanation:
if a Relation is a Function
in the
1) ((−1, 8), (0, 15), (1, –4), (2, 0)) 2) {(-5, 2), (5, 2), (0, -3), (3,-8)) 3) ((-2, 7), (6, 2), (−2, −3), (0, 9))
is a function
because there is not any
Points which have the
X-Coordinate and differen
y-Coordinates.
4) {(7,2), (4,-6), (2,-2). (4,-9)} 5) {(2, 3), (2, 4), (2, 5), (2,6)}
6) {(1,4), (2,4), (3, 4), (4-4)}
Answers
1). The relation given; { (−1, 8), (0, 15), (1, –4), (2, 0) } as given is a function.
2). The relation given; { (-5, 2), (5, 2), (0, -3), (3,-8) } as given is a function.
3). The relation given; { (-2, 7), (6, 2), (−2, −3), (0, 9) } as given is not a function.
4). The relation given; { (7,2), (4,-6), (2,-2). (4,-9) } as given is not a function.
5). The relation given; { (2, 3), (2, 4), (2, 5), (2,6) } as given is not a function.
6). The relation given; { (1,4), (2, 4), (3, 4), (4, -4) } as given is a function.
What is a function?It is important to know that a function is a special kind of relation in which case no one input value, x is assigned more than one output value.
On this note, when a relation is such that one of its input values is assigned two or more output values; such relation is not a function.
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Solve for -10 - 9/2 x <80
Answers
Answer:
X > -20
Step-by-step explanation:
-10 - 9/2 x < 80
Move 10 to the other side
- 9/2 x < 80 + 10
Simplify
-9/2 x < 90
-9 x < 180
x > -20
(We switch the inequality sign if we are dividing with negatives)
4 3/5+ 2 2/3= l need someone to help me out
Answers
A person is standing 18 feet from the base of a tree and there's a bird's nest in the tree 10 feet above the ground. what is the angle of elevation from the person to the birds nest? round to the nearest tenth of a degree?
Answers
The angle of elevation from the person to the birds nest is 29^o.
What is angle of elevation?When an object is observed at an angle above the horizontal plane, the angle formed with the horizontal plane with the line of observation is called an angled of elevation. It is measured in degree by a clinometer.
From a sketch of the narration in the given question, we apply the appropriate trigonometric function since the triangle is a right angled triangle.
So, to determine the measure of the required angle of elevation of the bird's nest, we have;
Tan θ = opposite/ adjacent
Tan θ = 10/18
= 0.5556
θ = Tan^-1 0.5556
= 29.05
θ = 29^o
Thus, the angle of elevation from the person to the bird's nest is 29^o.
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Solve the inequality:
4-3x<16
Answers
Answer:
x > -4
Step-by-step explanation:
This is solved just like as if it was an equation. Its a two-step equation (inequality) The only thing that's different is with an inequality, it is imperative that you flip the inequality symbol if you multiply or divide by a negative number.
Here, we'll subtract 4 from both sides. Then divide by -3 on both sides. Flip! the < to a >.
see image.
x > -4.
Step-by-step explanation:1. Write the expression.[tex]4-3x < 16[/tex]
2. Subtract "4" from both sides of the equation.[tex]4-3x-4 < 16-4\\ \\-3x < 12[/tex]
3. Divide both sides by "-3" and switch the inequality symbol.[tex]\frac{-3x}{-3} < \frac{12}{-3} \\ \\x > -4[/tex]
Important. See that we switched the inequality symbol from "<" to ">", and this is because the symbol of the coefficient of variable "x" changed from negative to positive when it was divided by "-3". This rule will always be true, any time the symbol of the variable changed, the inequality symbol changes.
4. Verify.If x >-4 is the correct answer, then substituting x by "-4" in the inequation should make the inequation return the same value on both sides of the inequality symbol (>).
[tex]4-3(-4) > 16\\ \\4-(-12) > 16\\ \\4+12 > 16\\ \\16 > 16[/tex]
That's correct! x > -4 is the correct answer.
Find the coordinates of the circumcenter of the triangle with the given vertices.
L(3,−6), M(5,−3), N(8,−6)
Answers
P(1.6,-2.9) are the coordinates of circumcentre of the triangle
How to find the coordinates of the circumcenter of a triangle?The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of that particular triangle intersect.
Let L(3,−6), M(5,−3), N(8,−6) be the vertices of the given △LMN.
Let P(x,y) be the circumcentre of △LMN. Then,
PL = PM = PN
Also, PL² = PM² = PN²
PL² = PM²
(x-3)² + (y-(-6))² = (x-5)² + (y-(-3))²
(x-3)² + (y+6)² = (x-5)² + (y+3)²
x²-6x+9 + y²+12y+36 = x²-10x+25 + y²+6y+9
4x + 6y = -11 ---- (1)
Also, PM² = PN²
(x-5)² + (y-(-3))² = (x-8)² + (y-(-6))²
(x-5)² + (y+3)² = (x-8)² + (y+6)²
x²-10x+25 + y²+6y+9 = x²-16x+64 + y²+12y+36
6x - 6y = 27 ---- (2)
Solve (1) and (2) simultaneously by elimination:
6 × (4x + 6x = -11)
4 × (6x - 6y = 27)
24x + 36y = -66
24x - 24y = 108
subtract:
60y = -174
y = -174/60
y = -2.9
Put y = -2.9 into (1):
4x + 6x = -11
4x + 6(-2.9) = -11
4x - 17.4 = -11
4x = 6.4
x = 1.6
Thus, the coordinates of the circumcentre of △LMN are P(1.6, -2.9)
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A builder buys a 21.5 acres of land to develop a new community of homes and parks.The builder plans to use 0.75 of the land for a park.How many acres will he use for the park?
Answers
He will use 9.375 acres of the land for the park
How to determine how many acres he will use for the park?A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.
Since the land is 21.5 acres and 0.75 of the land was used for a park. we can write:
acres used for the park = 0.75 × 12.5 = 9.375 acres
Thus, he will use 9.375 acres for the park
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Which object has the largest resultant force?
10N-
10N-
30 N-
A
C
30 N
5N
-5N
10N-
5N-
5N-
5N-
B
D
10N
10 N
Answers
Answer:
To find the resultant force of an object, we need to add up all the forces acting on it. The resultant force is the overall force that the object experiences, taking into account all the individual forces.
In this case, we are given four objects, A, B, C, and D, and the forces acting on them. To find the object with the largest resultant force, we need to calculate the resultant force for each object by adding up all the forces acting on it.
For object A, the forces acting on it are: 10 N, 10 N, and 10 N, for a total of 10 N + 10 N + 10 N = 30 N.
For object B, the forces acting on it are: 5 N, 5 N, 5 N, and 5 N, for a total of 5 N + 5 N + 5 N + 5 N = 20 N.
For object C, the forces acting on it are: 30 N and -5 N, for a total of 30 N + (-5 N) = 25 N.
For object D, the forces acting on it are: 10 N and -5 N, for a total of 10 N + (-5 N) = 5 N.
Therefore, the object with the largest resultant force is object C, with a resultant force of 25 N.
Six families went to the food festival. Each family has 2 adults and 4 children. The entry fee for each child ticket costs $4, and an adult ticket costs $8. What would be the total cost of the festival tickets?
Answers
By solving an expression we will see that the total cost for the tickets is $192.
What would be the total cost of the festival tickets?We know that six families went to the food festival, each family has 2 adults and 4 children, then there are:
6*2 = 12 adults in total.
6*4 = 24 children in total.
We know that each child ticket costs $4, and an adult ticket costs $8, then the total cost of all the tickets is what we get when we solve the expression below:
12*$8 + 24*$4
That is, the number of adults times the cost of an adult ticket plus the number of children times the cost of a children ticket.
The total cost is then:
12*$8 + 24*$4 = $192
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Write the expression as a number in scientific notation.
the quantity 4.2 times ten to the fifth power end quantity times the quantity 1.5 times ten to the negative eighth power end quantity all divided by the quantity 2.5 times ten to the negative fourth power end quantity
2.52 × 10−1
2.52 × 101
3.2 × 10−7
3.2 × 107
Answers
On solving the provided question, we can say that - the answer of the following equation is = [tex](4.2 X 10^5)(1.5 X 10^3) / 2.5 X 10^4[/tex] = 25.2
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
[tex](4.2 X 10^5)(1.5 X 10^3) / 2.5 X 10^4[/tex]
630000/25000
25.2
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Your parents allow you to borrow a car to get to your part-time job, but you have to pay for a tank of gas each month. Gasoline costs $2.76/gallon and the tank takes 15 gallons. You have 2 coworkers who are each willing to pay for a quarter of a tank each month to carpool with you to work. How much do you save each month?
$16.46
$20.70
$15.91
$18.55
Answers
A system of linear equations with an infinite number of solutions is a(n) __________ system.
Answers
A system of linear equations with an infinite number of solutions is a(n) equivalent equations system.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
here,
When a system of linear equations consists of an infinite number of solutions then this equation should be dependent and consistent as well, and this system is said to be a system of equivalent equations.
Thus, A system of linear equations with an infinite number of solutions is a(n) equivalent equations system.
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A triangle has dimensions 9ft by 12ft if you wanted to increase the size of the triangle by a scale factor of 10/3 what would the area of the new triangle be?
Answers
Answer:
The area of the new triangle would be A = (1/2) * 30ft * 40ft = (1/2) * 1200ft^2 = 600ft^2
Step-by-step explanation:
To increase the size of a triangle by a scale factor of 10/3, you can multiply each side length of the triangle by 10/3.
The new dimensions of the triangle would be (10/3) * 9ft = 30ft and (10/3) * 12ft = 40ft.
The area of a triangle is given by the formula A = (1/2) * b * h, where b is the length of the base and h is the height of the triangle.
Using the new dimensions of the triangle, the area of the new triangle would be A = (1/2) * 30ft * 40ft = (1/2) * 1200ft^2 = 600ft^2.
12 divided by four
plus 2 x 6+4
Answers
Answer:
19
Step-by-step explanation:
12 divided by four plus 2 x 6+4
assuming that the question is:
12 : 4 + 2 x 6 + 4 =
3 + 12 + 4 = (remember PEMDAS)
19
Latisha plans to purchase her school pictures. The prints cost $108 plus any add-ons she wants to purchase. If she saves $18 per week, which solution represents how many weeks, w, it will take Latisha before she can purchase her school pictures?
Answers
The number of weeks w is given by the equation w = 6 weeks
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number of weeks be represented as w
The prints cost $108 plus any add-ons she wants to purchase
The amount saved by Latisha per week = $ 18
So , the total amount saved by Latisha for w weeks = 18w
Now , the equation will be
18w = 108 be equation (1)
On simplifying the equation , we get
Divide both sides of the equation by 18 , we get
w = 108 / 18
w = 6 weeks
Therefore , the value of w is 6
Hence , the number of weeks is 6 weeks
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(7/8 x 14) / (3/8 x 6) + 2 1/5
Answers
Answer:
7/8 x 14= 12.25 or 49/4 or 12 1/4
(3/8 x 6) + 2 1/5= 4.45
(hope this helps I probably wasn't fully understanding)
There are a total of 32 books and calculators on a table. The ratio of the number of books to the
number of calculators is 5: 3. How many calculators are on the table?
A. 3
B. 12
C. 20
D. 24
Answers
Answer:
B. 12
Step-by-step explanation:
Your ratio of 5:3 means that the ratio includes 8 objects (5+3). If you multiply the whole ratio by 4, then you have 32 objects on your table. Multiplying your ratio by 4 gives you 5*4 : 3*4 which is 20:12. and since 20 is your amount of books and 12 is your amount of calculators, you have 12 calculators on your table.
a doughnut factory can make 1980 doughnuts in 1.5 hr how long would it take to make 6600 doughnuts
Answers
Answer: 5 Hours
Step-by-step explanation:
Divide 6600 by the amount per 1.5 hours.
6600 / 1980 = 3.333
Multiply the answer by the 1.5 hours.
1.5 x 3.333 = 5
Does the table below represent a proportional relationship?
A. Yes, because all the ratios of y to x are equal to 2.
B. Yes, because all the ratios of y to x are equal to 3.
C. No, because all the ratios of y to x are not equal.
D. No, because all the numbers are positive.
Answers
The table represents a proportional relationship because all the ratios of y to x are equal to 3. (option B)
What is a proportional relationship?Two variables exhibit a proportional relationship if the constant of proportionality remains constant for all the given values in the table.
The equation that is used to represent a proportional relationship is:
y = kx
Where:
k = constant of proportionality
Value of k when x is 1:
3 = k
Value of k when x is 2:
6 = 2k
k = 6 / 2
k = 3
Value of k when x is 3:
9 = 3k
k = 9 / 3
k = 3
Value of k when x is 4:
12 = 4k
k = 12 / 4
k = 3
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Elaina bought 4.6 pounds of sliced ham at a price of $6.15 per pound. How much did she spend in total? quick
Answers
Answer:
$28.29
Step-by-step explanation:
1 pound: $6.15
4.6 pounds: 6.15 x 4.6 = $28.29
Marissa and Kyle own a total of 66 dvds. Kyle owns 3 more than twice as many dvds as marissa. how many dvds does marissa own?
Answers
The number of Dvds owned by Maarissa is 45
How to find the number of dvds?The given parameters that will guide us in finding the number of dvds owned by marissa are
Marissa and Kyle own a total of 66 dvds. Kyle owns 3 more than twice as many dvds as marissa.
Let the number of dvds owned by Marissa be x
Nymber of dvds owned by Kyle be y
This implies that x+y = 66 ............................1
also, 2y + 3 = x ..................................................2
Substitute x = 2y + 3 in equation 1
= 2y + 3+y =66 Collecting like terms
⇒ 3y = 63
Making y the subject of the relation we have y=21
Recall that 2y + 3 = x
That means x = 2(21) + 3
x=45
Therefore Marrissa owns 45 dvds
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Given f(x)+3f(-x) = 2x+6, find f(x)
Answers
The function f(x) = -x-3.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given function:
f(x)+3f(-x) = 2x+6.
Let the function is an even function.
So, f(-x) = f(x)
To solve for f(x):
Substituting the property of an even function,
f(x) - 3f(x) = 2x + 6
-2f(x) = 2x + 6
f(x) = -x-3
Therefore, f(x) = -x-3 is the function.
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The Singh family ordered a large pizza with a diameter of 16 inches for dinner. If one of the members of the family ate one eighth of the pizza, how many square inches of pizza are remaining? Use 3.14 for π.
200.96 square inches
175.84 square inches
100.48 square inches
25.12 square inches
Answers
Answer: D
Step-by-step explanation: 25.12
Answer: The actual answer is (175.84 square inches)
Step-by-step explanation:
First, find the area of the pizza.
You need to use the formula for area of a circle: A = πr^2
or in words, the area of a circle is equal to pi times radius to the second power.
So find the radius which is half the diameter.
The diameter is 16 inches, so the radius is 8 inches.
Now raise 8 to the second power, meaning that you need to times 8 by 8
(8 * 8 = 64) Now you times 64 by pi or 3.14. (64 * 3.14 = 200.96)
That is the area of the entire pizza.
But you still need to find how many square inches are left after 1/8 is eaten.
If 1/8 is eaten, then that means the pizza is divided into eighths.
Take 200.96 and divided that by 8 to find how much the individual pieces are.
200.96/8 = 25.12
But you need to find what is left is the pizza, so times 25.12 by 7 because that is how many pieces are left. 25.12 * 7 = 175.84
Sorry for the long explanation, but here is proof that the answer is correct. I took the same test and got the answer right
Here is a photo from my test:
Have a good day
What is 507 less than 607
Answers
What is a b c d and e?
Answers
Answer:
Step-by-step explanation: