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2 years ago

Given f(x)=1/3(4-x)2, what is the value of f(16)

Mathematics

1 answer:

lidiya [134]2 years ago

5 0

Answer: The value is 3

Work: 16f=1/3(-12)^2 16f=1/3•12^2 16f=1/3•144 16f=48

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Solve for z: -14z - -16z - -8z - 11z +7z = -12

Jet001 [13]

-2. gv. gv. vv. g v gvv

8 0

2 years ago

What is the slope of the line that passes through the points (4, 4)(4,4) and (10, 7) ?(10,7)? Write your answer in simplest form

Mashutka [201]

The slope of line passing through the points (4, 4) and (10, 7) is $\frac{1}{2}$

<em><u>Solution:</u></em>

Given that, we have to find the slope of line that passes through the points (4, 4) and (10, 7)

The slope of line passing through $(x_1 , y_1)$ and $(x_2, y_2)$ is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Given two points are (4, 4) and (10, 7)

$\text{ Here } x_1 = 4 ; y_1 = 4; x_2 = 10; y_2 = 7$

Substituting the values in formula, we get

$\begin{aligned}&m=\frac{7-4}{10-4}\\\\&m=\frac{3}{6}\end{aligned}$

Reducing to lowest terms, we get

$m=\frac{1}{2}$

Thus slope of line passing through given points is $\frac{1}{2}$

8 0

2 years ago

At a price of $9 per box of oranges, the supply is 320,000 boxes and at a price of $8.50 per box, the supply is 270,000 boxes. F

artcher [175]

We want to find a linear equation that models the given situation.

The solution is p = $0.0001*q - $23

The general linear equation is:

p = m*q + c

Where m is the slope and c is the y-intercept.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Here we have the two points:

price = $9, boxes = 320,000

price = $8.50, boxes = 270,000

We can rewrite these as:

(320,000 , $9)

(270,000 , $8.50)

Then the slope of the line will be:

$m = \frac{\$ 9 - \$ 8.50}{320,000 - 270,000} = \$ 0.00001$

Then the line is something like:

p = $0.0001*q + c

To find the value of c we can use one of the two given points, I will use the first one, (320,000 , $9).

Replacing that in our equation we get:

$9 = $0.0001*320,000 + c

$9 - $0.0001*320,000 = c = -$23

Then the linear equation is:

p = $0.0001*q - $23

If you want to learn more you can read:

brainly.com/question/11687874

3 0

1 year ago

What is the vertical distance from the origin to the point (2,9)

Ksenya-84 [330]

Answer: The answer should be 9.2195

Step-by-step explanation:They tell us the point is 2.9 and they are asking the distance from the origin which is zero. So we can use pythagorean theorem. A²+B²=C² Look at it as a triangle. They have given us A and B, so you can find C² using those information. If you plot the point in the line you know that A=2 and B=9. Using the formula will be 2²+9²=C² ⇒ 4+81=C² ⇒ 85=C². To get rid of the power of 2 in c we have to square both side to cancel it out. C would equal 9.2195

3 0

2 years ago

Write the equation of the line that passes through the points (2, 1) and (5, -8)

My name is Ann [436]

Answer:

The answer is y = -3x + 7.

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

$y = mx + b$