Write a linear function f with the values f(0)=−3 and f(7)=11.

Answers

Answer 1

Answer:  f(x)= 2x -3

Step-by-step explanation:

Using the given information we can come up with two points that will be use to find the slope and y-intercept.  

If you input 0 you get -3  so the point will be (0,-3)

If you input 7  you get 11  so the point will be (7,11)

Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.

y coordinates:  -3 - 11 = -14

x coordinates:  0 - 7 = -7

  -14/-7 = 2

Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.

Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.

-3= 2(0) +b

-3 = 0 + b

b = -3  

f(x) is the same as y in the formula, meaning that the equation will be  

 f(x) = 2x -3


Related Questions

What is the value of x?
X=

Answers

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 13x-12=7x-6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 13x-7x=-6+12 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 6x=6 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{6}{6}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=1 [/tex]

Jennifer solved 27 problems, which is 3 11 of all the problems in her homework. How many problems are in her homework? find the number

Answers

Answer:

99 problems

Step-by-step explanation:

27 problems solved, x problems unsolved

27/x to 3/11

27/3 = 9

3/11(9/9)

27/99

There are 99 problems in Jennifer's homework.

Percy planted 4 tomatoes plants the first week of spring. He planted 11 tomato plants the second week of spring. What is the percent increase in the number of plants Percy planted?

Answers

Answer:

[tex]\%\ Increase = 175 \%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 4[/tex]

[tex]New = 11[/tex]

Required

Determine the percentage increase

This is calculated using the following formula:

[tex]\%\ Increase = \frac{|New - Initial|}{Initial} * 100\%[/tex]

[tex]\%\ Increase = \frac{|11 - 4|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{|7|}{4} * 100\%[/tex]

[tex]\%\ Increase = \frac{7}{4} * 100\%[/tex]

[tex]\%\ Increase = 1.75 * 100\%[/tex]

[tex]\%\ Increase = 175 \%[/tex]

What system of equations can be used to ring s, the cost in dollars of each standard photo and w, the cost in dollars of each wallet photo ?

Answers

Answer:

A

Step-by-step explanation:

-4/7 + 2/7 x –14x + 4/7

Answers

The answer is -96/7x

Can you pls mark brainleist

.Factor the expression using the GCF.
8y - 6x

Answers

Answer:

2(4y - 3x)

Step-by-step explanation:

What is the slope of у= 3х — 9​

Answers

Answer:

3?

Step-by-step explanation:

3 is the slope intercept I believe

What is the coefficient of the last term in the binomial expansion of (x + 1)9?

Answers

Answer:

1 is the coefficient of the last term in the binomial expansion

The answer would be 1

Susan makes a purchase of $175 and is charged 7.75% for sales tax. What is the total cost of the purchase if Susan charges it on a credit card with a daily interest rate of 0.039% and pays the balance off at the end of 30 days? a. $176.17 b. $186.70 c. $190.77 d. $200.26

Answers

Answer:

C. 190.77

Step-by-step explanation: edge 2022

The required, total cost of the purchase is $190.77. Option C is correct.

What is the percentage?

The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.

Here,
To calculate the total cost of the purchase, we first need to calculate the amount of sales tax and add it to the original price.

Sales tax = 7.75% of $175 = 0.0775 x $175 = $13.56

Total cost of purchase = $175 + $13.56 = $188.56

If Susan charges the purchase to her credit card and pays it off after 30 days, she will be charged interest on the outstanding balance for those 30 days. The interest rate is 0.039% per day, which is equivalent to 1.17% per month (0.039% x 30).

The interest charged on the outstanding balance after 30 days will be:

Interest = $188.56 x 1.17% = $2.20

Therefore, the total cost of the purchase, including sales tax and credit card interest, will be,

Total cost = $188.56 + $2.20 = $190.76

Therefore, the total cost of the purchase is $190.77.

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Find the value of x and y.

Answers

Answer:

I believe it is A......

Answer:

C.)

Step-by-step explanation:

180 = 6x + (2x - 32)

212 = 8x

26.5 = x

y = 2x - 32

y = 21

A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
o y=-3x+1
O y-zx=3
O y = -5x – 23
O y = 5x + 27
HURRY

Answers

The answer is A : y=-1/5x+1 ..... I checked on desmos

Z-5=8 what is the answer

Answers

Answer:

z = 13

hope it helps ;))

A line passes through the points (4, 3) and (- 2, 1) . The slope of this line in simplest form is

Answers

Answer:

[tex]m=\frac{1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (4, 3)

Point (-2, 1)

Step 2: Find slope m

Substitute:                     [tex]m=\frac{1-3}{-2-4}[/tex]Subtract:                        [tex]m=\frac{-2}{-6}[/tex]Simplify:                         [tex]m=\frac{1}{3}[/tex]

Answer:

1, 1/2 2, 4/3

Step-by-step explanation:

If we graph each points. Slope = rise/run

1. U would go 1 up and go 2 to the right. Which equals 1/2 so it’s simplified

2. U would go 4 to the right side and 3 down. Which equals 4/3 u can put it in a decimal if u want or keep it 3/4 it’s fine.

Choose the graph below that represents the following system of inequalities:

y ≥ −3x + 1

y ≤ 1/2 x + 3

Answers

Answer:

the following system of inequalities:

y ≥ −3x + 1

y ≤ (1/2)x + 3

using a graph tool

see the attached figure

the answer is the option

B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line

Step-by-step explanation:

PLEASE HELP !! BRAINLIEST AND 10 POINTS

Answers

POINT A I had the same question in my math class !!!

PLEASE HELP!!
What is the value of b in the equation below?
g-3.9-2- a^b
O -10
O -6
09
O 16
p

Answers

-10; b would equal -10 because when you multiply numbers with exponents, you add the exponents. the product would be 81^-10, so 81 is in the a spot and -10 is in the b spot

Answer:

-10

Step-by-step explanation:

So its A :}

Please help me I don’t understand $!!!!!

Answers

9514 1404 393

Answer:

  a) f: all real numbers except 1 and 2; g: all real numbers except 2

  b) f(x) = 5/(x -2) . . . . x = 2 is a vertical asymptote

  c) f(x) = -5/4, -5/3, -5/2, undefined, undefined, 5, 5/2

      g(x) = -5/4, -5/3, -5/2, -5, undefined, 5, 5/2

  d) f(x) is also undefined at x=1

Step-by-step explanation:

a) Any question about the domain of a function concerns the values of the variable for which the function is defined, or not. A rational function, such as these, will be undefined when its denominator is zero. So the question of domain becomes a question of the values of x that make the denominator zero.

The zeros of the denominator of f(x) can be found by factoring it.

  x^2 -3x +2 = (x -1)(x -2)

These factors are zero when x=1 and when x=2. Hence, these values are excluded from the domain of f(x).

  domain of f(x): all real numbers except x=1 and x=2

Then, by inspection, the domain of g is similar, but a little different:

  domain of g(x): all real numbers except x=2

__

b) Based on our work for part (a), we find that f(x) can be factored and simplified like this.

  [tex]f(x)=\dfrac{5x-5}{x^2-3x+2}=\dfrac{5(x-1)}{(x-1)(x-2)}\\\\\boxed{f(x)=\dfrac{5}{x-2}\quad x\ne1}[/tex]

There will be a vertical asymptote at x=2. The attachment shows a graph of f(x) with its vertical asymptote.*

__

c) The difference between the two functions is that f(x) is undefined at x=1.

  x = -2, -1, 0, 1, 2, 3, 4

  f(x) = -5/4, -5/3, -5/2, undef, undef, 5, 5/2

  g(x) = -5/4, -5/3, -5/2, -5, undef, 5, 5/2

__

d) The functions differ in that f(x) is undefined at x=1, whereas g(x) is not.

_____

* The fact that f(x) is undefined at x=1, but there is no vertical asymptote at that point, means the function has a "hole" in its graph there. This is illustrated on the graph by an open circle, meaning the function is not defined at that point.

A softball team is ordering pizza to after the tournament they plan to order a cheese pizza that cost eight dollars each and pepperoni pizza cost $12 each the odyssey pizzas and P pepperoni pizzas which expression represents the

Answers

A softball team is ordering pizza to after the tournament they plan to order a cheese pizza(c) that cost eight dollars each and pepperoni pizza(P) cost $12 each gotten from the odyssey pizzas.

Which expression represents the total cost of all of the pizzas they order?

Answer:

t = 8c + 12P

Step-by-step explanation:

We are told that cheese pizza(c) costs eight dollars.

This means for c number of cheese pizzas, cost is $8c

Also, we are told that cost of pepperoni pizza is $12 each.

So, for P number of pepperoni pizzas, the cost is $12P

Therefore expression of total cost(t) will be the sum of the cost of c number of cheese pizzas and P number of pepperoni pizzas.

Thus;

t = 8c + 12P

The amount of money that Jacob earns based on the number of hours he works is shown in the table. Find the constant of proportionality.

Answers

Answer:

Y=7.5x

Step-by-step explanation:

8-5=3 and 60-37.5 is 22.5 divide 22.5 by 3 and you get 7.5 which is the rate that he earns an hour

PLz answer this Question

Answers

-3,6 i'm pretty sure
y=3/6+(-3)
I hope that helps!!

3. It takes 200 lb of sugar cane to produce 5 lb
of refined sugar. How many pounds of sugar
cane does it take to produce 200 lb of refined
sugar?
A. 2,500 lb
B. 7,500 lb
C. 7,700 lb
D. 8,000 lb

Answers

8000 pounds is required to produce 200 lb of refined sugar

How to calculate the amount of pounds that is required to produce 200 lb of refined sugar?


It takes 200 lb of sugar cane to produce 5 lb of refined sugar

For 1 lb of sugar cane, the number of refined sugar that will be produced is

200= 5

x= 1

cross multiply

5x= 200

x= 200/5

x= 40

The number of pounds of sugar cane required to produce 200 lb of refined sugar is

= 40 × 200

= 8,000

Hence 8000 pounds of sugar cane is required to produce 200 lb of refined sugars

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HELP ThIS IS DUE TODAY
True/False....When you are simplifying an expression you should look for the "like terms" to combine first. *

Answers

Answer:

true

Step-by-step explanation:

7th grade math, I will give brainliest to right answer!
t/4 = 1
what is the value of t?

Answers

Answer:

t = 4

Step-by-step explanation:

Anything divided by itself is 1

3/8 = 15/x x=?
x/5 = 12/15 x=?
21/28 = 30/x x=?
75/45 = x/21 x=?
5/6 = 8/x x=?​

Answers

Answer:

a) x=40

b) x=3

c) x=40

d) x=35

e) x=9.6

Step-by-step explanation:

1. Cross multiply.

2. Divide.

I will give brailiest to whoever needs it!

Answers

Answer:

me please

Step-by-step explanation:

Answer:

idc if i get it

Step-by-step explanation:

5.
For each equation, determine if x = 2 is a solution. Explain or show your reasoning.
a.
-2(x – 4) = 4
b.
26
= 13
C.
-3.8x = -7.4
4(x - 1) – 3(x - 2) = -8
d.

Answers

A. Yes because -2(2-4) does equals =4
B. Yes because 26/2 does equals = 13
C. No because -3.8(2) equals -7.6 and not -7.4
D. No because 4(2-1)-3(2-2) equals 4 and not -8

x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

-2(x-4)=4

-2(2-4)=4

4=4

Hence, x=2 is the solution

26/x=13

Now x=2

26/2=13

13=13

Hence, x=2 is the solution

-3.8x=-7.4

Now x=2

-3.8×2=-7.4

-7.6=-7.4

x=2 is not a solution of -3.8×2=-7.4

4(x - 1) – 3(x - 2) = -8

4(2-1)-3(2-2)=-8

4=-8

x=2 is not a solution of -3.8×2=-7.4

Hence, x=2 is a solution of equations -2(x – 4) = 4 and 26/x=13

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can someone please help me with these two

Answers

Answer:

1)

x=8 degrees

<B=70 degrees

2)

<MON=57 degrees

Step-by-step explanation:

Detailed ans is in attachment

hope it helps :)

plz mark as brainliest

write an explicit rule for the sequence

Answers

For the top row it increases by 2. For the bottom row it decreases by 5. And the top row times 2 equals the bottom row

Find the value of the missing angle

Answers

Answer:

130 degrees.... I am pretty sure

Cus angles of a triangle add to 180 and so the inside angle is 130 and they are vertical angles so they are the same right? right?

Step-by-step explanation:

Answer:

130 degrees

Step-by-step explanation:

I first came up with the equation 30+20+?=180 (I got 180 because every angle in a triangle added up is 180), then added the 30 and 20 to get 50+?=180. I subtracted 50 from both sides and got ?=130. I know that the angle on the inside and the outside are equal because it seems like a reflection, so if the inside angle is 130 the outside angle is 130 degrees too.

Hope this helps you :)

A block of wood has a volume of 40 cm°, a length of 4 cm, a width of 5 cm. What is the helght of the wood?
49 cm
20 cm
O2 cm
60 cm

Answers

C) 02cm is the correct answer
40\5/4 is 2
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