If

f

(

x

)

is a linear function,

f

(



2

)

=

2

, and

f

(

2

)

=

0

, find an equation for

f

(

x

)

Answers

Answer 1

Answer:

f(x) = -1/2x + 1

Step-by-step explanation:

Remember that f(x) = y

f(-2) = 2   tells you that when x = -2,  y = 2 ;  So you have point (-2, 2)

f(2) = 0    tells you that when x = 2, y = 0 ;  So you have point (2, 0)

Now use the two points to find the slope:  Slope = (change in y)/(change in x)

So slope = (0-2)/(2-(-2) = -2/4 = -1/2

Next find "b" using the slope and one  point and solve for "b"

y = mx + b             slope = -1/2     point (-2, 2)

2 = -1/2(-2) + b

2 = 1 + b

1 = b

Last thing to do: write the equation using slope = -1/2 and b = 1 into y = mx + b

y = -1/2x + 1


Related Questions

what is the measure of ABC in the firgure below

Answers

Where is the figure here bro plz i need explanation mark me a brainlist

I'm stuck on this math problem! If anyone could help and give an explanation, that would be amazing!

Solve: (2x-5)^4/5=81

Thank you so much!

Answers

The answer is x  =  124 ,  − 119


£8658 is shared equally between 9 people. How much does each person get?
£

Answers

Answer:

962

Step-by-step explanation:

8658/9

answer is 962 pounds

Step-by-step explanation: divide 8658 by 9

What are the values of s and t?

Answers

Answer:

t= 38°; s=104°

Step-by-step explanation:

ΔHJI is isosceles

Therefore, m∠H ≅ m∠I

m∠I=38°

m∠t (m∠H)=38°

Using the Δ Angle Sum Theorem (all 3 angles of a triangle add up to 180°),

Add m∠H and m∠ I to get 76,

Subtract 76 from 180°

Get 104° as the m∠s

Hope this helps

Pleaseee right answers
Which sequence of transformations proves that shape I is similar to shape II?
ОА.
a reflection across the x-axis, and then a translation 6 units right
B.
translation 6 units rightand then a 90° clockwise rotation about the origin
Ос.
a 180° counterclockwise rotation about the origin
OD
a reflection across the y-axis, and then a translation 4 units up
OE.
a reflection across the x-axis, followed by a 180° counterclockwise
rotation about the origin, and then a translation 4 units down

Answers

Answer:

I would say OD

Step-by-step explanation:

if you reflect shape l across the y-axis

then move shape ll up 4 spaces

they will line up

Answer:

This is easy. It's option E. Trust me, I have this question on my finals. Good luck :)

13 more than a number x

Answers

Answer:

x+13 or x<13

Step-by-step explanation:

You have agreed to borrow $50 and after six months you pay back $58. How much interest are you paying? What is the interest rate?

Answers

Answer:

interest: 8 interest rate: 16

Step-by-step explanation:

the interest is 8$ since you payed 8$ extra, the interest rate can be counted in another way but I forgot it. So 50 is 100%, you divide it by 100 and get 0.5. then you take 8/0.5 which means how many percent there is in 8 which is 16.

This can be solved much easier if you multiply by 2. you borrow 100 and get 116 in return. both interest and interest rate is 16

The interest is $8 and rate of interest is 16%.

What is interest?

Using the interest rate formula, we get the interest rate, which is the percentage of the principal amount, charged by the lender or bank to the borrower for the use of its assets or money for a specific time period. The interest rate formula is

Interest Rate = (Simple Interest × 100)/(Principal × Time).

Given:

Interest = $58 - $50 = $8

Time = 6 months = 1/2 hours

Principal = $50

rate = ?

Thus, the rate of interest

= 8 x 100 /  50

=800 /50

= 16%

Hence, the interest is $8 and rate of interest is 16%.

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Rename 1/6 and 1/24 using the least common denominator

Answers

Answer:

4/24, 1/24

Step-by-step explanation:

Since 24 is a multiple of 6, the LCD of 6 and 24 is 24.

1/6 = 4/24

1/24 = 1/24

1/2(1/4)+3/8 I need this for homework.​

Answers

Answer:

1/2

Step-by-step explanation:

1/2(1/4)+3/8

1/8+3/8

4/8

=1/2

what are intergers and rational numbers? How are the points graphed on a coordinate plane?

Answers

Answer:

here you go

Step-by-step explanation:

As we said, points on the coordinate plane are represented as (a, b), where a and b are rational numbers. Rational numbers are numbers that can be written as a fraction, p/q, where p and q are integers. We call a the x-coordinate of the point and we call b the y-coordinate of the point.

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-3,-2); y = - 4x + 5

Answers

Answer:

y=-4x-14

Step-by-step explanation:

Lines that are parallel would have the same slope, so the slope is

m= -4

Use point slope equation to solve for the slope intercept equation.

y-y1=m(x-x1)

m= -4

x= -3

y= -2

y-(-2)=-4(x-(-3))

y+2=-4x-12

y=-4x-14

Kash Register has been told to eat 1,800 calories per day. He was told that 20% of the calories should be fat, 30% of the calories should be protein and 50% of the calories should be carbohydrates.

Answers

Using the percentage concept, the amount of fat, protein and Carbonhydrate to be consumed per day are 360, 540 and 900 calories respectively.

We can calculate the amount of calories for each nutrient class per day thus :

Percentage of nutrient × total calories

Carbonhydrates :

50% × 1800

0.5 × 1800 = 900

Protein :

30% × 1800

0.3 × 1800 = 540

Fat :

20% × 1800

0.2 × 1800 = 360

Hence, the amount of fat, protein and Carbonhydrate to be consumed per day are 360, 540 and 900 calories respectively.

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If C is the length of the hypotenuse of a right triangle and A and B are the leg lengths.

Please pick the “incorrect” answer in the following answers from the picture above.

If they are all correct please let me know!

Answers

Answer:

They are all correct

Step-by-step explanation:

c^2 = a^2 + b^2 = pythagorean theorem

if subtract b^2 from both sides = a^2 = c^2 - b^2

if subtract a^2 from both sides then square root both sides = b = sqrt(c^2 - a^2)

All are correct

Pythagorean theorem states that

In a right angle triangle the square of the hypotenuse is equal to the sum of squares of base and perpendicular.

Or

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

100000x100000 what is the answer

Answers

Answer:

10000000000

Step-by-step explanation:

The product of 100,000 multiplied by 100,000 is 10,000,000,000.

To find the product of 100,000 multiplied by 100,000, perform the multiplication operation:

100,000 x 100,000 = 10,000,000,000

The answer is 10,000,000,000.

To explain this, when multiplying two numbers, multiply each digit of one number by each digit of the other number and sum up the results.

In this case, we have:

           100,000

x         100,000

____________

           000,000    

          000,000

         000,000

        000,000

+      100,000

____________

    10,000,000,000

So, the product is 10,000,000,000.

Learn more about Multiplication here:

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6/7 or 1 which one pleitty pleasss

Answers

definitely 1 because it fits better in all math related things

Answer:

if it rounding then it is 1 but if not then 6/7

Step-by-step explanation:

ROUNDING 1

NON-ROUNDING 6/7



A forest covers 62,000 acres. A survey finds that 0.3% of the forest is old-growth trees.

Answers

There is no question but I know what you mean. I got you!
The answer is 141.

PLS ANSWER LIMITED TIME QUESTION IS: Determine the intercepts of the line.

Answers

Answer:

y-intercept (0,2.5)

x intercept (3.5,0)

Step-by-step explanation:

express as kilometres using decimals :


i )19 m

ii )28 m

iii )686 m

iv )75 km 6 m

v )8282 m

Answers

Step-by-step explanation:

19 m = 0.019 km

28 m = 0.028 km

686 m = 0.686 km

75 km 6 m = 75.006 km

8282 m = 8.282 km

hope this answer helps you dear...take care!

Answer:

19 m = 0.019 km

28 m = 0.028 km

686 m = 0.686 km

75 km 6 m = 75.006 km

8282 m = 8.282 km

Mark me Brainiest

Helpful for all guys

Thank you for all bye

An item is regularly priced at $45 it is on sale for 80% off the regular price how much in dollars is discounted from the original price

Answers

Answer:

The item now costs 9$, with 36$ being removed from the original price.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Regular price $45

sale price = 80 / 100 * 45 = 36

discount from original price in $ = 45 - 36 = 9

Evaluate 3-5 using a number line.​

Answers

Step-by-step explanation:

= 3 - 5

= -2

line in the picture

What is the solution to the system of equations?

3 x minus 4 y = 16. 2 x + 3 y = 5.
(–4, 1)
(4, –1)
(–4, –1)
(4, 1)

Answers

Step-by-step explanation:

3x - 4y = 16

-4y = 16 - 3x

y = -(16 - 3x)/4

2x + 3y = 5

2x + -3(16 - 3x)/4 = 5

(8x - 48 + 9x)/4 = 5

17x - 48 = 20

17x = 68

x = 68/17

x = 4

3x - 4y = 16

3(4) - 4y = 16

12 - 4y = 16

-4y = 4

y = 4/-4

y = -1

Solution = (4,-1)

Option → B

PLS HELP ITS URGENT

I have everything but the interval notation done and I have no clue how to do it so if anyone could help me out it would be greatly appreciated

Answers

Answer in the attachment:

Someone help thank u

Answers

Here you go my friend

what is a flat booking fee of $25

Answers

Answer: $2.50

Step-by-step explanation:

Hello!

A flat booking fee is usually about 10% of the cost which will leave you with $2.50.

*Prove the two triangles congruent, by marking all the corresponding parts, and write the congruence statement and name the theorem you would use. If not able to prove, write not possible and tell what other information you would need.

Answers

Step-by-step explanation:

Figure 1

Two sides marked as congruent and the third sides is shared.It means the triangles are congruent.Theorem is SSS (side-side-side)

Figure 2

One side is common and one angle marked as congruent.This is not sufficient to state the triangles are congruent. One more angle, adjacent to common side would make them congruent by ASA.Not congruent.

situation in mind
1
LESSON 4: CONSOLIDATION ACTIVITY
Mecall Martina's sequences 2, 6, 10, 14, 18, 22.. The 1st term is 2, the 2nd term is 6, the 3rd term is 10, and so on.
Term number Term
1
2
2
6
SON 2: COI
activity, you
hat you've
3
10
4
14
omplete the
5
18
6
22
.
Suppose n and (o) are chosen as variables, Which quantity does n represent? Which quantity does f(n) represent?
b. You can think of this sequence as a function. What is the domain?
G
You can think of this sequence as a function. What is the range?

Answers

Answer:

download the pro calculator it can answer any math problems

how do you simplify 8(-8)+2

Answers

You start by multiplying 8 and -8 which gives you -64 then add 2 in which it gives you 62

Answer:

[tex]8x(-8)+2[/tex]

there you go

how to simplify 4a-3b+6a​

Answers

Step-by-step explanation:

very simple : the terms with the same base (either a specific number or a variable with the same exponent, or a function ...) can be combined.

4a - 3b + 6a

which terms here have the same base ?

ah, 4a and 6a refer to the same variable (and with the same exponent : 1, as a = a¹).

therefore, I can combine them :

4a + 6a = a×(4+6) = a×10 or simply 10a

so the result is

10a - 3b

please help <3 ill give brainliest

One movie club charges a $100 membership fee and $10 for each movie. Another charges no membership fee but movies are $15 each. Write and solve an equation to find the number of movies you need to buy for the cost of each movie club to be the same.

Answers

If you take a varible, lets say x, and times that by your mom. You will get y^2. After that, take ur mom and divide that by ur dads ding dong. Now they don't give us the formula to find out how long, creamy and wet your dad's ding dong is so we use the formula, busty step sis + step bro = BIG DING DONG, to get (x^69)+12 as ur dads ding dong. Now add ur mom with ur dad, y^2+(x^69) to get a child, 6969699696.

Hope this helps :)

36y^(2)-100
a. (6y-10y) (6y+10y)
b. (6y-10)^2
c. (6y+10)^2
d. unable to factor

Answers

Answer:

(6y+10)^2

Step-by-step explanation:

right answer

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