Find the linear function with the following properties.
f(-4) = 7
f(-8) = -4

Find The Linear Function With The Following Properties.f(-4) = 7f(-8) = -4

Answers

Answer 1

Answer:

[tex]\mathsf{ y=\dfrac{11}{4}x+18}[/tex]

Step-by-step explanation:

[tex]\mathsf{(x_1,y_1)=(-4,7)}[/tex]

[tex]\mathsf{(x_2,y_2)=(-8,-4)}[/tex]

[tex]\mathsf{slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-7}{-8+4}=\dfrac{11}{4}}[/tex]

[tex]\mathsf{y-y_1=m(x-x_1)}[/tex]

[tex]\mathsf{\implies y-7=\dfrac{11}{4}(x+4)}[/tex]

[tex]\mathsf{\implies y=\dfrac{11}{4}x+18}[/tex]


Related Questions


i’m not really sure how to do geometry - can someone please help ?

Answers

Answer:

144 cm squared

Step-by-step explanation:

For this question, use the formula for area of a triangle (A = 1/2 * base * height)

Plug in the numbers you have, and A = 1/2 * 18 * 16, or 144 cm squared.

Hopefully this helps - let me know if you have any questions!

This year, Ryan watched 55 movies. He thought that 33 of them were very good. Of the movies he watched, what percentage did he think were very good?
PLEASE HELP ASAP!!!! NO LINKS PLEASE!

Answers

Answer:

55 MOVIES???!!               ok here's the answer: 33 is 60 percent of 55 = 60

Step-by-step explanation:

Help !!!! Its A Math Question . . A regular polygon with n sides has ____ lines of symmetry.

Question options:

10


100


n


0

Answers

Answer:

The number of line symmetry in a regular polygon of n sides is 'n'. For example a regular pentagon has 5 line symmetry,Hexagon has 6 line symmetry etc.

Step-by-step explanation:  hope this help =)

Answer:

n

Step-by-step explanation:

A regular polygon with n sides has ____ lines of symmetry.

A square has 4 lines of symmetry

A pentagon has 5 lines of symmetry

A n-agon will have n lines of symmetry

WILL MARK BRANIEST FOR GOOD ANSWER AND FOR ANSWERING IT RIGHT
Marcus studies two plant cells in biology class. One cell measures 8.0 x 10^-4 centimeter across. The other cell measures 2.0 x 10^-3 centimeter across. Help Marcus find out how many times greater the size of the larger cell is.

Answers

His answer and process are both incorrect because he needs to divide 10^-4 by 10^-3 to get 4*10^-1 and the answer is .025 times larger.

Answer:

i hope this helps

cell 1 is 0.0008 and cell 2 is 0.002

Step-by-step explanation:

Josh Phillips bought a new car for $26,725 excluding 7% sales tax. What was the final cost of the car including the sales tax?

Answers

Answer:

26.725 x 1.07 = 28.59575

cost = 28.58575 $

Step-by-step explanation:

ye thanks for the correct answer!

Holly bought 23 tickets to the baseball game. She got a group rate that gave her $4 off of the regular ticket price for each ticket. The total cost was $184.

What was the regular price for each ticket?

Enter your answer in the box.

$: (answer)

Answers

Answer:

$4.13

Step-by-step explanation:

let x = the regular price of tickets

23x-4=184

subtract 4 from each side

23x=180

divide 23 by each side to get x by itself

x= $.13 per ticket add 4 because she got $4 off

the original price is $4.13

If f(x)=2x-4, what x-value would make f(x)=-9

Answers

Answer- (-2.5)
Explanation- Replace f(x) with -9 and Add four to both sides then divide both sides by 2 and you get x= -2.5
-9=2x-4
+4. +4
——————-
-5=2x
_____======= -2.5
2. 2

Sorry if it’s wrong but it should be right lol

I need help with number 9 through 16 The instructions are on the blanks label the difference of two squares as D in the perfect square trinominals as P factor each expression 20 POINTS CORRECT ANSWER GETS BRAINLIEST!!!!!!!!!!!!!!

Answers

Answer: Need better instructions Sorry

Step-by-step explanation:

Module 20 lesson 1 Algebra 1 volume 2

Answers

Answer:

7 CA I don't know what you think of the year

five chickes eat 10 bags of scratch in 20days. How long does it take 18 chickens to eat100 bags of scratch

Answers

Answer:

You can use logic and proportion here

Step-by-step explanation:

10 bags ---> 20 days

∴ 100 bags ---> 20 days x [tex]\frac{100 bags}{10bags}[/tex]        

                   ---> 20 days x 10

                   ----> 200 days

At Zach's auto shop each mechanic can change the oil 3 cars per hour. Zach can have up to 4 mechanics working at a time. In a relationship between number of oil changes per hour and number of mechanics working identify the independent variable dependent variable domain and range

Answers

Answer:

We know that:

Each mechanic can change the oil of 3 cars per hour.

The number of mechanics can change between 0 and a maximum of 4.

Then we can write the variable:

Y = number of oil changes per hour.

Y = 3*X

Where X is the number of mechanics working.

The independent variable is X (number of mechanics), because is the one that Zach can change, and the dependent is Y (number of oil changes) because this depends on the value of X.

Now, the domain will be: {0, 1, 2, 3, 4}

The possible numbers of mechanics working at the same time.

And for the range we must replace those values in our equation, and see the possible values of Y.

Y(0) = 3*0 = 0

Y(1) = 3*1 = 3

Y(2) = 3*2 = 6

Y(3) = 3*3 = 9

Y(4) = 3*4 = 12

Then the range is: {0, 3, 6, 9, 12}

Graph the line.


x = 3

Answers

Explanation: I would do this problem by setting up a chart.

For the equation x = 3, if we set up a chart for x and y,

since x must be equal to 3, the random values we

choose in this problem are not for x, they are for y.

If we had an equation like y = 2x + 3, then we would pick values for x

and plug them into the equation to get y, but here, x is our only value.

So let's choose the values 1, 0, and -1 for y.

For each of these values, x must be equal to 3.

So we have the points (3, 1), (3,0), and (3, -1).

Notice that our graph is a vertical line, as I showed this below.

There are 5 cakes in a box.
The box and cakes weigh 300 grams altogether.
The box weighs 25 grams.
Each cake weighs the same.
What does each cake weigh? |
grams.

Help!!!

Answers

Answer:

35g

Step-by-step explanation:

given,altogether 300g

box weight is 25 gram

know we know that

1 cake weight and box =300/5

1 cake weight =60 gram -25gram

cake weight =35g

Zack is creating a 5 digit password for his computer. For the first three digits, he chooses different letters of the alphabet.
For the last two digits, he chooses a different number
between 0-9. How many passwords are possible?

Answers

Answer:

460

Step-by-step explanation:

The total number of passwords possible is given by the permutation equation A = 26 x 25 x 24 x 10 x 9

What are Permutations?

A permutation is an ordered arrangement.

The number of ordered arrangements of r objects taken from n unlike objects is:

Permutation nPr = ( n )! / ( n - r )!

Given data ,

Let the total number of passwords be represented as A

Now , the equation will be

The number of digits in the password = 5 digits

For the first three digits, he chooses different letters of the alphabet

So , total number of digits that are alphabets out of the 26 alphabets = 3

For the last two digits, he chooses a different number

between 0-9

The total number of digits that are numbers out of the 10 numbers = 2

So , the permutation will be

A = 26P3 x 10P2

Substituting the values in the equation , we get

The total number of passwords A = ( 26 )! / ( 26 - 3 )! x ( 10 )! / ( 10 - 2 )!

On simplifying the equation , we get

The total number of passwords A = ( 26 )! / ( 23 )! x ( 10 )! / ( 8 )!

And ,

The total number of passwords A = 26 x 25 x 24 x 10 x 9

Therefore , the value of A is 14,04,000

Hence , the permutation is 26P3 x 10P2

To learn more about permutation click :

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Convert x - 3y = -15 to slope intercept form.

Answers

Answer:

y=1/3x+5

Step-by-step explanation:

x-3y=-15

-3y=-x-15

y=(-x)/(-3)-(15)/(-3)

y=1/3x+5

The difference of a number k and 10. is greater than 12​

Answers

Answer:

k-10>12

Step-by-step explanation:

the word difference means subtraction and since k comes first that means you have to subtract 10 from k and greater than means that the greater than or less than sign will face k-10,so you would have the equation k-10>12

HELPPP PLEASEEE!!!!!!!!!!! NO LINKS!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

35

Step-by-step explanation:

3,250 - 2,100 = 1,150

( 1,150 ÷ 3,250 ) × 100 ≈ 35.4%

Shawna has been saving and now has exactly enough money to pay for the pink carpet that she wants in her room. She has $219.70. Each wall in her room has a length of 13 feet. a) How many square feet of carpet will she need? b) What is the cost for each square foot of carpet?

Answers

Answer:

169 feet²

$1.30

Step-by-step explanation:

Given that :

Amount Shawna has = exact cost of carpet = $219.70

Length per wall = 13 feets

a) How many square feet of carpet will she need?

Number of square feet of carpet :

13 feets * 13 feets = 169 feet²

B.) Cost of each square foot :

Total cost / number of square feet

$219.70 / 169 feet²

= $1.30

Which of the following is a statistical question

Answers

The answer is C- in what month we’re you born.
The answer is C ur welcome have a good day

Find the slope between (2, -1) and (2,5) by graphing or solving..

Answers

Answer:

Step-by-step explanation:

I think the easiest way would be to plot the points onto a graph. See the attached graph.

If you want to solve it, you can use the slope formula:

[tex]m = \frac{y2-y1}{x2-x1}[/tex]

Where m = slope

From the two points we are given:

(2, -1) -----> x1 = 2 , y1 = -1

(2,5) ----->  x2 = 2 , y2 = 5

Plug these values into the slope formula and you get:

[tex]m = \frac{y2-y1}{x2-x1}[/tex]

m = [tex]\frac{5 - (-1)}{2 - 2}[/tex] = [tex]\frac{5 + 1}{0} = \frac{6}{0}[/tex] = ∞

This means that the slope m = ∞. In other words, there is no slope or gradient because the line is vertical.

Maggie is buying 2 shirts that cost 8.50$ each. there is a 6.5% sales tax. what is the total Maggie will pay for the shirts?​

Answers

Answer:

18.11

Step-by-step explanation:

You have the base cost of 17$ then add that to .065 times 17$

Does the input value x = 1 have a real output in the function
f(x) = -√ x - 10 + 11?

Answers

Answer:

y = 0

Step-by-step explanation:

-√ x - 10 + 11

-√ 1 - 10 + 11

-1 - 10 + 11

-11 + 11

If x = 1 then y(output) = 0

sorry if it's wrong.

help me please its due today

Answers

Solution:

~Refer to image~

We know that:

[tex]\bullet \ \ \ \text{Volume of right triangular prism} = \text{Area of triangle} \times \text{a}[/tex]

[tex]\bullet \ \ \ \text{Area of triangle} = \dfrac{1}{2} \times \text{Base} \times \text{Altitude }[/tex]

When looking at the triangle, we can tell that:

[tex]\bullet \ \ \ \text{Base} = 8 \ \text{ft} \\\\ \bullet \ \ \text{Altitude} = 6 \ \text{ft} \\\\ \bullet \ \ \text{a} = 12 \ \text{ft}[/tex]

Substitute the base, height, and altitude in the formula:

[tex]\bullet \ \ \ \text{Volume of right triangular prism} = \text{Area of triangle} \times \text{a}[/tex]

[tex]\bullet \ \ \ \text{Volume of right triangular prism} = \huge{\text{[}\dfrac{1}{2} \times 8 \times 6\huge{\text{]} \times 12[/tex]

Solve for the volume:

[tex]\bullet \ \ \ \text{Volume of right triangular prism} = \huge{\text{[}4 \times 6\huge{\text{]} \times 12[/tex]

[tex]\bullet \ \ \ \text{Volume of right triangular prism} = \huge{\text{[}24\huge{\text{]} \times 12[/tex]

[tex]\bullet \ \ \ \boxed{\text{Volume of right triangular prism} = 288 \ \text{ft}^{3} }[/tex]

Area of base:-

1/2BH1/2(6)(8)3(8)24ft^2

Volume:-

Area of base×Height24(12)288ft^3

Write this percentage as a fraction in its simplest form.
56
%

Answers

Answer:

9/25

Step-by-step explanation:

56% = 56/100

56/100= 18/50

18/50 = 9/25

Answer:

[tex]\frac{14}{25}[/tex]

Step-by-step explanation:

56%

= [tex]\frac{56}{100}[/tex] ← as a fraction ( divide numerator/ denominator by 4 )

= [tex]\frac{14}{25}[/tex] ← in simplest form

Marta like to make soup during winter months. no matter how much soup she makes, she always freezes 32 ounces to save for later

Answers

Answer:

60-32

Step-by-step explanation:

i had the same thing

Adam needs four new tires for his car. He has a choice of high performance tires that cost $189 each or economy tires that cost $92 each. How much will he save by buying four economy tires rather than four high performance tires?
$368
$756
$97
$388
$460

Answers

Answer:

388

Step-by-step explanation:

You will multiply both 189x4=756 and 92x4=368 and subtract it and you will get 388

What is the length of AC?
if A is -8, B is -4, C is 5, D is 8

Answers

Answer:

13

Step-by-step explanation:

I assume that we are talking about the points and lengths of a number line.

A is the starting point (-8).

B is the mid point (-4).

C is the end point (5).

To find the distance of AC, we take the absoulte value of any value if its negative and add.

|-8| + 5

8 + 5

13

Best of Luck!

.
What is the solution set of an inequality? Use the inequality x > 10 as an example.

Answers

Answer:

x can be any number greater than 10, there are infinite solutions.

>, meaning x is greater than 10

The solution set to the inequality equation x > 10 has infinite number of solutions as x can have any value greater than 10

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

x > 10   be equation (1)

So , the value of x is given by set P = { 11 , 12 , 13 , 14 ... }

Therefore , the value of x is any number greater than 10 and the inequality relation has infinite number of solutions

Hence , the inequality equation is x > 10

To learn more about inequality equations click :

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20 Points and Brainliest for the person who will get it correct which table represents the equation y=9x

Answers

Answer:

[C]

Step-by-step explanation:

Since y = 9x

So x need to be a number that will multiply and  y = 9

Going through all answer choices

since it y = 9

We can see that [A} and [B]  is wrong

Now [C] and [D]

We can see that [D] is wrong because it shows that x = 9 when y = 9

that left us with [C]

[C] shows x = 1 and y = 9

Which is True

1 * 9 = 9

2 * 9 = 18

3 * 9 = 27

Hence, [C] is the correct Answer

~Learn with Lenvy~

Answer:

Chocie A: beacause x does'nt equal y

Need help on these questions ASAP please and thank you ! (:

Answers

Here are the answers

1:4
2:8
3:1
4:2
5:7
6:3
7:9
8:6
9:5

Hope this helps!
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