f(2)=-2 and f(1)=1 write a linear function

Answers

Answer 1

Answer:

[tex]f(x) = -3x+4[/tex]

Step-by-step explanation:

We can use the form [tex]y=mx+b[/tex] to find the linear function.

From [tex]f(2)=-2[/tex] , we can write:

[tex]-2=2m+b[/tex]

From [tex]f(1)=1[/tex] , we can write:

[tex]1=m+b[/tex]

To find for [tex]m[/tex], we can substract the second equation from the first:

[tex]2m+b-(m+b) = -2-1[/tex]

[tex]2m+b-m-b=-3[/tex]

[tex]m=-3[/tex]

To find for [tex]b[/tex], we can use substitution:

[tex]1 = m+b[/tex]

[tex]1 = -3+b[/tex]

[tex]b=4[/tex]

∴ [tex]f(x) = -3x+4[/tex] is the linear function.

Hope this helps :)


Related Questions

A boy walked for 4 hours and cycled for 3 hours covering a distance of 87.6km . Later she walked for 2 hours and cycled for 4 hours covering a distance of 101.8km. What was her average speed for walking and her average speed of cycling if these did not change in the two instances? ​

Answers

Answer:

average speed for walking = 4.5 km/h

average speed for cycling = 23.2 km/h

In 8 divided by 1/5 the number 8 is the?

Answers

Answer:

Dividend

Step-by-step explanation:

Dividend ÷ Divisor = Quotient

Answer:

Dividend

Step-by-step explanation:

g+1/4Ua=b
solve for A.

Answers

a=4b/u minus 4g/u . this should help :))

Answer:

a=4b/u-4g/u

Step-by-step explanation:

You got this!

if I have 130 of something and I need 200 how many more do I need

Answers

Answer:

70

Step-by-step explanation:

200 - 130

1 yard = 3 feet
6 yards 2 feet = how much feet is 6 yards and 2 feet ?

HELP ASAP

Answers

Answer: 20

Step-by-step explanation: 3 feet in 1 yard, there are 6 yards.

6 x 3 = 18 feet plus the 2 extra = 20 feet

Write the equation for each graph below.

Answers

Answer:

The first one is 3x+1

The second one is 3/4x - 2

Step-by-step explanation:

Look where the line intersects then count the dots to where the next point is.

what is 4.5+1.5k=18-3k

Answers

Answer:  k = 3

Step-by-step explanation:

1

Combine multiplied terms into a single fraction

4

.

5

+

1

.

5

Answer:

Thr33

Step-by-step explanation:

3

Heather rode her bicycle 3 5/6 miles in 2/3 hour. What was her average speed in miles per hour?

Answers

Answer:

her average speed is 7 and 2/3 miles per hour

Step-by-step explanation:

Find the mean of 12, 16, and 23.

Answers

Answer:

17

Step-by-step explanation:

mean means average...

12+16+23= 51

51/3= 17

The answer for your question question is 17

Please find the value of the x so that the function has the given value

f(x) = (-4/5)x+7 ; f(x) = 29

Answers

I wanna say x = 27.5


Helpppp meeeeeeeeeee

Answers

The answer is A.

Explanation: You look at the x axis to see where the line is and look at that. The line goes from -4 to 3 on the x axis. On the y axis is the same but on the y axis. You see it goes from 0 to 5. This is least to greatest.

please help i don’t know this

Answers

-1,1x + 6,4 > -1,3 <=>

-1,1x > - 7,7 <=>

x < 7,7/1,1 <=>

x < 7

The answer is the third graph.

Answer:

it is the third option

Step-by-step explanation:

you would subtract the 6.4 to the other side of the equation and then you would divide it by -1.1 and you would get 7

You have $100 in your savings account and plan to deposit $20 each month. Write a linear equation to model the situation.

y= 100x + 20
y= 80x
y= 20x + 100
y= 120x

Answers

the third option [ y= 20x + 100 ]

you already have 100 and you’re gonna save 20 dollars each month and the number of months would be x

Help PLEASE. 15 pts

Which equations illustrate the zero property of multiplication? Select ALL that apply.
[tex] \frac{1}{3} \times 3 - 3 = 4[/tex]
[tex] \frac{1}{2} + 2 - 2 = \frac{1}{2} [/tex]
[tex]0 \times \frac{1}{9} \times 9 = 0[/tex]
[tex]x - 5 + 5 = x[/tex]
[tex] \frac{1}{3}(9 + 3) = 3 + 1 [/tex]

Answers

Answer:

0* 1/9*9=0

Step-by-step explanation:

The zero property of multiplication states that any non-zero number multiplied by zero will equal zero.

it can't be the first one, since there's no zero in it, and the answer isn't zero

it can't be the second one since there's no multiplication illustrated.

The third one is an option, since there is a zero and it's being multiplied by two non-zero numbers, and the answer is 0

the fourth one isn't an option since there's no multiplication

the fifth one isn't an option since there is no 0's there.

hope this helps!

Liliana spends $4.00 on 2 boxes of popcorn and 2 drinks.Nadette spends $5.25 on 2 boxes of popcorn and 3 drinks.The prices of the popcorn and drinks can be determined by solving the system of equations.
2p+2d=4.00
2p+3d=5.25
what is the price of a box of popcorn? A drink?
P=
D=

Answers

Answer:

p=0.75$

d=1.25$

Step-by-step explanation:

2p+2d=4

So 2p=4-2d

2p+3d=5.25

4-2d+3d=5.25

d=5.25-4

d=1.25

2p+1.25*2=4

2p=4-2.5

2p=1.5

p=0.75

4(x + 2)- 6 = 14
Multiply 4(x+2)
- Write complete equation.
-Combine like terms.
-Inverse of addition or subtraction
-Inverse of Multiply
-Final Answer:

Answers

Answer:

4(x+2)-6=14

or,4x+8=14

or,4x=14-8

or,4x=6

therefore,x=3/2

I DONT UNDERSTAND PROBLEMS PLS HELPPPP MATH

Answers

Answer:

#9) A) Addition property of equality

Step-by-step explanation:

Hope this helps

HELP PLEASE!!!!!!!!!!!!

Answers

Answer:

y = 3x-5

Step-by-step explanation:

The difference between each y for each change of 1 in x is 3, so it's y-intercept is -5, and its slope is 3.

Examine whether x + 2 is a factor of x³ + 3x² + 5x + 6 and of 2x + 4.

Answers

x+2 is the factor of 2x+4

Step-by-step explanation:

x+2=0 x=-2

x^3+3x^2+5x+6

(-2)^3+3(-2)2+5(-2)+6

-8+12-10+6

0

hence x+2 is a factor of x^3+3x^2+5x+6

x+2=0

x=-2

2x+4

2(-2)+4

-4+4

0

also x+2 is a factor of 2x+4

Simplify the expression and enter your answer below.

(15^1/5)^5

Answers

Answer:

15^1 or just 15

Step-by-step explanation:

(15^1/5)^5

If there is a parenthesees seperating powers you can times the two numbers.

So you take 1/5 and times by 5

After this you get 15^1 and that would be 15

Please help. 40 points + brainliest

(***NOTICE: Bots/trolls seeking points will be reported***)

1. Solve for q:

√3q + 2 = √5

2. solve for d:

4d + 1 = √3

3. Solve for m:

m/√3 - 11 = 4

Answers

Answer:

1) q = (sq rt 15 - 2) / 3

2) d = (sq rt 3 - 1) / 4

3) m = 15 * sq rt 3

Step-by-step explanation:

1.√3q + 2 = √5

we bring to the power of 2 each element

(√3q)^2+2^2=√5^2

3q+4=5

3q=4-5

q=1/3

2.

4d+1=√3

we do the same thing

16d^2+1=3

16d^2=2

d^2=2/16

d^2=1/8

d=√1/√8

3.

m/√3 -11=4

first we rationalise by multiplying the first fraction with √3

m√3 /3-11=4

now we can bring to the power of 2

3m^2/9-121=16

3m^2/9=137

m^2/3=137

m^2=411

m=√411

PLEASE HURRY!!!!!!!!!!
I WILL VOTE BRAINLIEST!!!!!!!!!
ACTUALLY ANSWER IT AND PROVIDE ALL WORK!!!!!!!!!!!!!

Answers

Answer:

The answer gonna be B

u welcome

Answer:

A

Step-by-step explanation:

We can see that our figure is composed of a cylinder and a cone.

So, we can utilize the surface area formulas.

The surface area of a cylinder is given by:

[tex]SA=2\pi r^2+2\pi r h[/tex]

The first term is the two circular bases, and the second term is the lateral surface area.

Notice that the circular base has a diameter of 6. So, its radius is 3.

Also, the height of the cylinder is 50.

However, notice that one of the circular bases is not included in our surface area as it’s connected to the cone. So, we will remove that from our surface area. This gives us:

[tex]SA=\pi r^2+2\pi rh[/tex]

Therefore, by substituting 3 for r, the radius, and 50 for the height h we can see that:

[tex]\begin{aligned}SA&=\pi(3)^2+2\pi(3)(50)\\&=9\pi+300\pi\\&=309\pi\end{aligned}[/tex]

Now, we can determine the SA of the cone.

Again, we will only need to lateral surface area, since the circular base is connected to the cylinder.

The lateral surface area of a cone is given by the formula:

[tex]SA=\pi r\ell[/tex]

Where r is the radius and l is the slant height.

The radius is 3 and the slant height is 5. Therefore:

[tex]SA=\pi(3)(5)=15\pi[/tex]

So, our total surface area is:

[tex]SA_{\text{Total}}=309\pi+15\pi[/tex]

Simplify:

[tex]SA_{\text{Total}}=324\pi\\[/tex]

Approximate:

[tex]SA_{\text{Total}}\approx1017.9\text{ units}^2[/tex]

Hence, our answer is A.

Find The Angle (See Image)

Answers

Answer:

do you how many there is 5 angles if thats what ur asking

Step-by-step explanation:

Factor 6x + 30 to identify equivalent expressions. Select all that are equivalent expressions.
2(3x + 15)
6(x + 30)
6(x+5)
3(2x + 10)


PLEASE HELP

Answers

Answer:

6(x+5)

Step-by-step explanation:

what the person above said. when you multiply 6(x+5) out, you will get 6x+30. you will get the same for all of the other choices except for the 2nd one, but 6(x+5) is the one that is factored out the most, so this would be the best choice. if you need anymore help, let me know!

Stephen sells gin a bicycle for $138 and a helmet for $18. The total cost for gin is 130% of what Stephen spent originally to buy the bike and helmet how much did Stephen spend originally? How much money did he make by selling the bicycle and helmet to gin?

Answers

Answer:

step-by-step explanation

130% ×××××

hai

i'll be friend, babai

help would be nice thank you!

Answers

Answer:

Option B

Step-by-step explanation:

Given equation gives the information about the temperature in Vancouver over a period of 4 hours.

y = -2x + 43

Here 43 represents the initial temperature and (-2) represents the temperature fall in every one hour.

x = duration or time

Therefore, equation states that initial temperature when measured was 43 °F and it is dropping by 2 degrees per hour.

Option B is the answer. 

One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?

Answers

Answer:

500

Step-by-step explanation:

Given that:

Shape of one of the Great Pyramids in Egypt is a square pyramid.

Base of pyramid is of square shape with length = 20 feet

Height of pyramid = 150 feet

Volume of each stone used for the construction of the pyramid = 40 cubic feet

To find:

Number of stones used for the construction of the pyramid.

Solution:

First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.

It will give us the number of stones used for the construction of pyramid.

Volume of a pyramid is given as:

[tex]V = \dfrac{1}{3}\times \text{Area of base}\times Height[/tex]

Here, base is a square, so area of base = [tex](Side)^2[/tex]

[tex]V = \dfrac{1}{3}\times 20^2\times 150 = 400\times 50 ft^3[/tex]

Number of stones of 40 cubic feet each, required = [tex]\frac{400\times 50}{40}[/tex] = 500

At a store, socks are sold with a different number of socks in each package. Which package has the lowest price per pair of socks?
HELP ME

Answers

Answer:

A is correct

Step-by-step explanation:

You have to find the rate of change for each one.

Divide the price with the amount

Hope this helps!

–2 • 4? what is the anserw do you now

Answers

Answer:

Step-by-step explanation:

-8 because a negative times a positive is a negative so w times 4 equals I and since it’s a negative sign it’s -8

When u multiply by 1 negative your answer will be a negative so your answer will be -8

Which of the following phrases are expression
-3
8+c<7d
B/12=24/16
8
2a
(10+7)(50+1)

Answers

B,D,E is the answer for sure
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