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3 years ago

Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7.

1 answer:

4 0

Really you just need to plug in each one. So 4 plugged into x in the equation comes out to be 87. And if you plug in 7 it comes out to be 93. so if you take 93 subtract 87 from it, it comes to be 6. and if you take 7 and subtract 4 from it you get 3. So when we plug it in it doubles. So the average rate of change(slope) is 2. because 6/3=2. Average rate of change is the exact same thing as slope.

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Find the equation of the line , use exact numbers

MArishka [77]

y=1/2x-3

typing this to take up space ignore this

7 0

3 years ago

An account that yields 6% simple interest annually has $2,000. How much will be in the account after 3 years if no other deposit

Mazyrski [523]

Answer:

$2,382.03

Step-by-step explanation:

Interest = Principal x Rate x Time

6 0

2 years ago

A circle has an area of approximately 615 square millimeters. What is the diameter of the circle

noname [10]

Answer:

When using the given information, the diameter of the circle is going to be 28 mL.

Step-by-step explanation:

First, we need to know the formula for finding the area of a circle.

$Area=r^2\pi$

Now, we need to rearrange the formula so we can find the radius.

$Radius=\sqrt{\frac{A}{\pi} }$

Next, we plug in the given area into the equation.

$Radius=\sqrt{\frac{615}{\pi}}$

$Radius=\sqrt{196}$

$Radius=14$

Now that we have the radius, we can find the diameter. The radius is half the length of the diameter. So, in order to find the diameter, we have to multiply the radius by 2.

$14 * 2=28$

So, the diameter of the circle is 28 mL

3 0

3 years ago

Mari and Jen each work 20 hours a week at different jobs. Mari earns twice as much as Jen. Together they earn $480. How much doe

Salsk061 [2.6K]

We will call:
M=Mari
J=Jen

Initial equations:

M=2J
M+J=480
(the fact that they work 20 hours a week is not needed in this problem information)

Plug in:
2J+J=480
3J=480
J=160

Jen makes $160 a week.

Therefore:

M=2J
M=2(160)
M=320

Mari makes $320 per week
Jen makes $160 per week

7 0

3 years ago

Just an answer and simple explanation! Thank you.

vazorg [7]

Answer:

Step-by-step explanation:

If CD and DE equal, then x+6 = 4x -21

So if you subtract x from both sides and plus 21 to both sides, that would be 3x = 27. Divide by 3 on both sides and you get 9.

Plug in x+6 with 9 and you get 15.

6 0

2 years ago