What is the scale factor ??

Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.

Lina20 [59]

Answer:

44

Step-by-step explanation:

Given:

$f(x) = 4x^2 - 3$

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

$f(3) = 4(3)^2 - 3$

$f(3) = 4(9) - 3$

$f(3) = 36 - 3$

$f(3) = 33$

To find f(9), replace x with 9 in the given function

$f(9) = 4(9)^2 - 3$

$f(9) = 4(81) - 3$

$f(9) = 324 - 3$

$f(9) = 321$

Average rate of change = $\frac{f(b) - f(a)}{b - a}$

Where,

$a = 3, f(a) = 33$

$b = 9, f(b) = 321$

Plug in the values into the formula for average rate of change.

$= \frac{321 - 33}{9 - 3}$

$= \frac{288}{6}$

$= 44$

Average rate of change = 44

3 0

2 years ago

The list shows numbers in order from least to greatest. -15, -3 3/4 -1.5 ___ 2.3 5 2/3 Which is an integer that can be inserted

Ugo [173]

Answer: -1.

Step-by-step explanation:

7 0

2 years ago

What is the value of x and the measure of MNQ

serg [7]

Answer:

3x - 13 +58 = 90, so 3x +45 = 90

Then 3x = 90 - 45 = 45 and x= 45/3 = 15.

m∠MNQ = 3x-13 = 3(15) - 13

= 45-13

= 32

6 0

2 years ago

Find the equation of the line parallel to y=2x+1 that contains point (14,3)

Sophie [7]

First of all, remember what the equation of a line is:

$y=mx+b$

Where:

m=slope

b=y-intercept.

Given this information, we can start by plugging in what we know, we are given the slope which is 2 so we can fill that in, remember m=slope

$y=2x+b$

To find b, think about what your (x,y) point means:(14,3). When x of the line is 14, y of the line must be 3.

Because we were given the point (14,3)

We need to find the value of b. The 2 is already set and x and y are variables. We want the equation for the line that specifically passes through the given point (14,3).

Plug in for x the number 14 and for y the number 3:
(14,3).
y=mx+b or 3=2 × 14+b,

solving for b: b=3-(2)(14). b=-25.

Plug that in for b:
y=2x-25
Final answer:
y=2x-25

8 0

2 years ago

The value of y varies directly with x. When y=55, x=1/4. Determine the constant of proportionality

docker41 [41]

Answer:

k = 220

Step-by-step explanation:

Proportion of y and x

y = kx

Given :

y = 55
x = 1/4

Solving :

55 = k/4
k = 55 x 4
k = 220

4 0

1 year ago