Write a linear function f with f(-4) = 2 and f(6) =-3​

Answers

Answer 1

Answer:

f(x) = - [tex]\frac{1}{2}[/tex] x

Step-by-step explanation:

The standard form for a linear function is

f(x) = ax + b

Using the given values f(- 4) = 2 and f(6) = 3 , then

- 4a + b = 2 → (1)

6a + b = - 3 → (2)

Subtract (2) from (1) term by term to eliminate b

- 10a = 5 ( divide both sides by - 10 )

a = - [tex]\frac{1}{2}[/tex]

Substitute a = - [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for b

Substituting into (1)

2 + b = 2 ( subtract 2 from both sides )

b = 0

Thus the linear function is

f(x) = - [tex]\frac{1}{2}[/tex] x

Answer 2

The linear function is f(x) = -0.5x

For f(-4) = 2

x₁ = -4, y₁ = 2

For f(6) = -3

x₂ = 6, y₂ = -3

The slope(m) is found using the formula

m = (y₂ - y₁)/(x₂ - x₁)

m = (-3-2)/(6-(-4))

m = -5/10

m = -0.5

Substitute m = -0.5, x₁= -4, and y₁ = 2 into the equation below:

y - y₁ = m(x - x₁)

y - 2 = -0.5(x - (-4))

y - 2 = -0.5(x + 4)

y - 2 = -0.5x - 2

y = -0.5x - 2 + 2

y = -0.5x

Therefore, the linear function is f(x) = -0.5x

Learn more here: https://brainly.com/question/17003809


Related Questions

Enzo and Beatrice are playing games at their local arcade incredibly ends wins five tickets from every game in the trees wins 11 tickets from every game when they stop playing games Enzo in the trees had won the same number of total tickets what is the minimum number of games that Enzo could have played

Answers

Answer:

22 games

Step-by-step explanation:

In order to find the minimum number of games that Enzo played we need to find the least common multiple of tickets where both Enzo and Beatrice are equal. To do this we simply find all the multiples of the number of games each could have played by the number of tickets per game until we find one in common.

5*1 = 5                   11*1 = 11

5*2 = 10                 11*2 = 22

5*3 = 15                  11*3 = 33

5*4 = 20                 11*4 = 44

5*5 = 25                 11*5 = 55

...                             ...

...                             ...

...                             ...

5*22 = 110               11*10 = 110

Finally, we can see that the minimum amount of games that Enzo needs to play in order for both Enzo and Beatrice to have the same amount of tickets is 22 games.

Solve the system by Elimination:
5x+4y=2
−5x−2y=4

Answers

5x + 4y = 2
-5x - 2y = 4

So if we add both the equations 5x will be eliminated.

5x + 4y - 5x - 2y = 4 + 2
4y - 2y = 6
2y = 6
y = 3

As y is 3

x will be
5x + 4 x 3 = 2
5x + 12 = 2
5x = -10
x = -2

Please mark brainliest

Answer:

d/dx

Step-by-step explanation:

write a fraction whose numerator and denominator add up to 9​

Answers

Answer:

5/4

Step-by-step explanation:

Solve for x.

3
2
5
7

Answers

Answer:

4x + (13x–7) = 112°

=> 4x + 13x = 112+7

=> 17x = 119

=> x = 119/17

=> x = 7

A plane intersects a pentagonal pyramid horizontally parallel to the base. Describe the cross-section if the pyramid is sliced.

Answers

Answer:

A pentagon.

Step-by-step explanation:

The pyramid has  five slanting sides above the base.

The cross-section will be a pentagon.

what ordered pair would describe each intersection?
y=8-X and y=5X-40​

Answers

Answer:

(8, 0 )

Step-by-step explanation:

Given the 2 equations

y = 8 - x → (1)

y = 5x - 40 → (2)

Substitute y = 5x - 40 into (1)

5x - 40 = 8 - x ( add x to both sides )

6x - 40 = 8 ( add 8 to both sides )

6x = 48 ( divide both sides by 6 )

x = 8

Substitute x = 8 into either of the 2 equations and solve for y

Substituting into (1)

y = 8 - 8 = 0

Solution is (8, 0 )

Huh ? Wut? Eh? I can’t understand help me tho

What is a uniform circular motion?
a. Uniform circular motion is when an obiect accelerates on a
circular path at a constantly increasing velocity
b. Uniform circular motion is when an object travels on a
circular path at a variable acceleration
c. Uniform circular motion is when an object travels on a
circular path at a constant speed
d. Uniform circular motion is when an object travels on a
circular path at a variable speed (answer this quickly pls)​

Answers

Answer:

C. Uniform circular motion is when a object travels on a circular path at a constant speed.

ASAP I need help on this​

Answers

Answer: x = 6x/5

Step-by-step explanation:

Answer:

x = 10/3

Step-by-step explanation:

[tex]\frac{x}{2} + \frac{2}{2} = \frac{4x}{5}[/tex]

[tex]\frac{x + 2}{2} = \frac{4x}{5}[/tex]

[tex]x + 2 = \frac{8x}{5}[/tex]

5x + 10 = 8x

10 = 3x

x = 10/3

How can you tell by just looking at the coefficients of -2x² and 2x2 that the terms will add to zero?

Answers

Answer:

Their coefficient have the same number but with opposite sign

Step-by-step explanation:

We can tell that the two coefficient will add to zero because they have the same value but opposite signs.

  When two numbers are of the same value but with opposite sign, they add up to zero.

  The given numbers are;

             -2x²   and  2x²

Coefficient is the number before the variable. Here, the variable is x,

            -2x² = -2

               2x² = 2

    -2 + 2  = 0

heloppppp meeee agiinnnn

Answers

Answer:

x=3

Step-by-step explanation:

3(x-2)+x-1=5

3x-6+x-1=5

4x-7=5

4x=12

x=3

Answer:

3

Step-by-step explanation:

3(x-2)+x-1=5

3(x-2)+x=6

3x-6+x=6

3x+x=12

4x=12

x=3


What can I put down? someone helpppp

Answers

Answer:

The rate of change can be expressed with the formula x = Rise/Run And in this graph it rises 1 and runs 1 meaning you have a slope of 1/1 or 1 :)

A robot can complete 3 tasks in 2/5 hour.

How many tasks can the robot completein one hour

Answers

Answer:

1.2 tasks per hour, round to 1 if needed

Step-by-step explanation:

Is an imaginary "line" from the Earth to the Moon a line, a ray, or a segment? and WHY?

Answers

Answer:

Segment

Step-by-step explanation:

It is a segment because it has two endpoints (the Earth and Moon). If it was a ray, it would go on forever in one direction. It doesn't, so the imaginary line is a segment.  

The first image is a segment, the second is a ray.

Hope this helps. :)

Answer:

Segment

Step-by-step explanation:

A ray goes on forever a segment has end points


Help!!! This has to be done by 8am!!!

Answers

The constant of proportionality is 4.5

ax +3= 6
Solve for x.

Answers

Answer:

Step-by-step explanation:

Let's solve for a.

ax+3=6

Step 1: Add -3 to both sides.

ax+3+−3=6+−3

ax=3

Step 2: Divide both sides by x.

ax /x = 3 /x

a= 3 /x

Answer:

a= 3 /x

 

Answer:

ax = 3

Step-by-step explanation:

ax + 3 = 6

Subtract 3 from both sides of the equation

ax = 3

I hope this helps :)

Here are three lamps.
lamp C
lamp B
lamp A
Lamp A flashes every 20 seconds.
Lamp B flashes every 45 seconds.
Lamp C flashes every 120 seconds.
The three lamps start flashing at the same time.
How many times in one hour will the three lamps flash at the same time?​

Answers

Answer with step-by-step explanation:

First of all, we need to calculate how many times the 3 lamps flash in a minute. We can do this by finding their LCM (least common multiple), which is 360. 360 is equivalent to 6 minutes, so that is going to be our test time. Lamp a flashes every 20 seconds, so 360/20 = 18 flashes. Then, 360/45 = 8 flashes. Finally, 360/120 = 3 flashes. 18 + 8 + 3 = 29 flashes per 6 minutes. If so, we multiply 29 by 10, because 60 minutes per hour ÷ 6 minutes = 10. So 29 × 10 = 290 flashes per hour

Hope this helped! (brainliest please)

How do I convert 1/8 into a decimal ?

Answers

Answer:

0.125

Step-by-step explanation:

0.125
Divide the numerator by the denominator to convert fraction to decimal

A kilogram of potatoes cost $25.A dozen bananas cost $40.

a) Write an algebraic expression for the total cost of n kilograms of potatoes and one dozen bananas.

b) Evaluate your expression to determine the cost of 15kg of potatoes and one dozen bananas​

Answers

Answer:

a) T = 25n + 40

b) T = $415

Step-by-step explanation:

The total cost of 'n' kilograms of something can be expressed as 'n' multiplied by the cost, since it is a constant cost per unit. Therefore the price for n kg of potatoes can be expressed as 25n. We are also told that a dozen bananas cost $40, so our expression is the cost of potatoes added to the cost of bananas. So, is we use 'T' for total cost, our expression will look like this:

T = 25n + 40

Now we can use this expression to find the cost of 15kg of potatoes and the same amount of bananas. We can do this by simply substituting the given amount for n:

T = 25(15) + 40

T = 375 + 40

T = $415

The cost of 15kg of potatoes and one dozen bananas is $415.

Hope this helped!

thanks for answering!!!

Answers

Answer:

1. b⁵

2. +16m⁹

Step-by-step explanation:

1. Add exponents: b³⁺² = b⁵

2. Negative and Negative = positive

2*8 = 16

m⁴⁺⁵ = m⁹

Hence: + 16m⁹

Answer:

[tex]1) \: {b}^{5} [/tex]

[tex]2) \: \: + 16 {m}^{9} [/tex]

Step-by-step explanation:

[tex] {b}^{3} \times {b}^{2} = {b}^{3 + 2} = {b}^{5} [/tex]

we know that

[tex]( - ) \times( - ) = ( + )[/tex]

So

[tex] - 2 {m}^{4} \times - 8 {m}^{5} \\ = + 16 {m}^{9} [/tex]

Please help I’ll give brainiest!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

They have you pay a initial amount of $2

who wants a brainly :D if u get this right what is 1567÷7

Answers

Answer: 223.8571428571429

Step-by-step explanation:

Math

Answer:

223.857143

I hope this helps!

What is the slope of the line? ​

Answers

Answer:

[tex]m=\frac{-4}{5}[/tex]

Step-by-step explanation:

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

Simply plug in 2 coordinates into the slope formula to find slope m:

(-3, 1)

(2, -3)

[tex]m=\frac{-3-1}{2-(-3)}[/tex]

[tex]m=\frac{-4}{2+3}[/tex]

[tex]m=\frac{-4}{5}[/tex]

The value of y varies directly with x. When y= 2 4/7, x= 37 .

What is the value of y when x is 27 ?


1 5/7

2 3/7

3 1/7

3 4/7

Answers

Answer:

Option (a).

Step-by-step explanation:

The value of y varies directly with x. It would mean that,

y=kx, where k is constant

When

[tex]y=2\dfrac{4}{7},x=\dfrac{3}{7}\\\\y=\dfrac{18}{7}, x = \dfrac{3}{7}[/tex]

then,

[tex]\dfrac{18}{7}=k\times \dfrac{3}{7}\\\\k=6[/tex]

When x = 27,

[tex]y=6\times \dfrac{2}{7}\\\\y=\dfrac{12}{7}\\\\\text{or}\\\\y=1\dfrac{5}{7}[/tex]

So, the value of y is [tex]1\dfrac{5}{7}[/tex] when x is 27.

Factor 4a2 - 25. (2a + 5)(2a + 5) (2a - 5)(2a - 5) (2a - 5)(2a + 5)

Answers

Answer:

(2a+5)(2a-5)

Step-by-step explanation:

The vertices of a figure are FC -9,- 9),G-3, -6),H(-3,-9). Find the coordinates of the image after a dilation with a scale factor of 2 3 and then a translation 6 units up.​

Answers

Transformation involves changing the size and position of a figure.

The new coordinates of the figure is:

[tex]\mathbf{F" = (-6,0)}[/tex]

[tex]\mathbf{G" = (2,2)}[/tex]

[tex]\mathbf{H" = (-2,0)}[/tex]

The coordinates are given as:

[tex]\mathbf{F = (-9,-9)}[/tex]

[tex]\mathbf{G = (3,-6)}[/tex]

[tex]\mathbf{H = (-3,-9)}[/tex]

When the figure is dilated by 2/3, the new coordinates are:'

[tex]\mathbf{F' =\frac 23 \times (-9,-9) = (-6,-6)}[/tex]

[tex]\mathbf{G' =\frac 23 \times (3,-6) = (2,-4)}[/tex]

[tex]\mathbf{H' =\frac 23 \times (-3,-9) = (-2,-6)}[/tex]

When the figure is further translated up by 6 units, the new coordinates are:

[tex]\mathbf{F" = (-6,-6 + 6) = (-6,0)}[/tex]

[tex]\mathbf{G" = (2,-4 + 6) = (2,2)}[/tex]

[tex]\mathbf{H" = (-2,-6 + 6) = (-2,0)}[/tex]

Hence, the new coordinates are:

[tex]\mathbf{F" = (-6,0)}[/tex]

[tex]\mathbf{G" = (2,2)}[/tex]

[tex]\mathbf{H" = (-2,0)}[/tex]

Read more about transformation at:

https://brainly.com/question/11707700

Answer:

F is (-6,0) and G is (-2,2) and H is (-2,0) I'm only putting my answer too because the other person said 2,2 and its -2,2

Step-by-step explanation:

If anyone can help me please with the this problem (picture above)

Answers

Answer:

6x-3=9

Step-by-step explanation:

i dont really get what it means by set up an equation but heres what i know-

36 is the perimeter so divide it by 4 to get the length of each side-

36/4=9

now you know that each side is 9, so 6x-3=9

when you solve that, x=2

problem work:
4(6x-3)= 36
24x-12=36
+12=+12
24x=48
24x/24=48/24
x=2

Check:
6x-3=36
4(6(2)-3)=36
4(12-3)=36
48-12=36
36=36

Help me please an thank you

Answers

Answer:

The measurement of angle PTQ is 40°

Answer:

40

Step-by-step explanation:

2x+16= x+28

(vertical opp. angles)

x=12

PTQ= x+28= 12+28= 40

Hope it will help:)

The value of y varies directly with x. When y=2 4/7, x=3/7 .

What is the value of y when x is 2/7 ?


A. 1 5/7

B. 2 /37

C. 3 1/7

D. 3 4/7

Answers

Answer:

1 5/7

Step-by-step explanation:

I literally just took the test so yeah

Answer:

I think the answer is 2 3/7. because you are decreasing 1/7.

Step-by-step explanation:

An evil supervillian has launched a satelite from his/her flying carrier. The satelite's height, in meters
above sea level, as a function of time, t, in seconds, is given by
h(t) = – 4.9t^2+ 165t + 160

Answers

Answer:

Where is the question?

Step-by-step explanation:

HURRY ILL MARK BRAINLIEST

Answers

Answer:

It's A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

brainllest welcomed

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