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2 years ago

5

Calculate the average rate of change for the function

1 answer:

mezya [45]2 years ago

7 0

$slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2(x-2)^2+1\qquad \begin{cases} x_1=-2\\ x_2=4 \end{cases}\implies \cfrac{f(4)-f(-2)}{4-(-2)} \\\\\\ \cfrac{[2(4-2)^2+1]~~ - ~~[2(-2-2)^2+1]}{4+2}\implies \cfrac{[9]~~ - ~~[33]}{6}\implies \cfrac{-24}{6}\implies -4$

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Just need help finding X and Y

Lapatulllka [165]

Answer:

<h2>x = 8 and y= 12</h2>

Step-by-step explanation:

For x use the Pythagorean theorem:

$x^2+6^2=10^2$

$x^2+36=100$ <em>subtract 36 from both sides</em>

$x^2=64\to x=\sqrt{64}\\\\x=8$

We know: x + y = 20. Substitute:

$8+y=20$ <em>subtract 8 from both sides</em>

$y=12$

5 0

3 years ago

There are two fields whose total area is 56 square yards. One field produces grain at the rateof34bushel per square yard; the ot

fenix001 [56]

Answer:

the first field (rate 3/4) has 32 square yards and the second field (rate 2/3) has 24 square yards.

Step-by-step explanation:

With the statement we can make a system of 2x2 equations, where:

"x" is the area of the first field

"y" is the area of the second field

However,

x + y = 56 => x = 56 - y

3/4 * x + 2/3 * y = 40

replacing we have:

3/4 * (56 - y) + 2/3 * y = 40

42 - 3/4 * y + 2/3 * y = 40

-0.0833 * y = 40 - 42

y = -2 / -0.0833

y = 24

now for x:

x = 56 - 24

x = 32

This means that the first field (rate 3/4) has 32 square yards and the second field (rate 2/3) has 24 square yards.

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3 years ago

Megan creates a scale drawing of a car. The ratio of her scale drawing length to actual car

Alika [10]

Answer:

Givens

The length of the car in her drawing is 6 cm.
The scale is 3 cm : 2 m.
Ivan draws with a relation 2 cm : 1 m.

First, we need to find the actual length of the car using Megan's ratio.

If 2 centimeters is equivalent to 1 actual meter of the car, 6 centimeters of drawing would be equal to

$M=6cm \times \frac{2m}{3cm} =4m$

Therefore, the car is 4 meters long.

Now, using this information, we can find the length of the scale drawing of Ivan.

$I=4m \times \frac{2cm}{1m}=8cm$

Therefore, Ivan's drawing is 8 centimeters long.

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Keith_Richards [23]

Answer: i need help on that too :)

Step-by-step explanation:

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