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Vaselesa [24]
3 years ago
10

Plz help, I'm taking an Advanced class (Algebra) Will give brainliest ✔✔✔✔✔✔✔✔✔

Mathematics
1 answer:
bija089 [108]3 years ago
7 0

Part A:

The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

  • (x_1, y_1) and (x_2, y_2) are points on the function

You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:

h(0) = 3(5)^0 = 3 \cdot 1 = 3

h(1) = 3(5)^1 = 3 \cdot 5 = 15

h(2) = 3(5)^2 = 3 \cdot 25 = 75

h(3) = 3(5)^3 = 3 \cdot 125 = 375


Now, let's find the slopes for each of the sections of the function:

<u>Section A</u>

m = \dfrac{15 - 3}{1 - 0} = \boxed{12}

<u>Section B</u>

m = \dfrac{375 - 75}{3 - 2} = \boxed{300}


Part B:

In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

\dfrac{m_B}{m_A} = \dfrac{300}{12} = 25


It is 25 times greater. This is because 3(5)^x is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.

You might be interested in
The diameter of a wheel of a lorry is 150cm. If the lorry travels 376.8m, how many times does the wheel rotate?
tresset_1 [31]
<h3>Answer:  79 full rotations</h3>

====================================================

Explanation:

150 cm = 150/100 = 1.5 m

The wheel has a diameter of 1.5 meters

The circumference of the wheel is

C = pi*d

C = pi*1.5

C = 1.5pi

C = 4.71238898038469

I'm using my calculator's stored version of pi to get the most accuracy.

Then we divide the 376.8 over the circumference found

(376.8)/(4.71238898038469) = 79.9594434093682

Despite being very close to 80, we must round down to 79 because we don't have enough to get that full 80th rotation. In other words, we have 79 full rotations and then some change leftover.

Though for the sake of simplicity, I can see how it's useful to say "about 80 rotations" if 79 seems a bit clunky. I'll stick with 79 however. Let me know if your teacher instructs otherwise.

4 0
2 years ago
I just need to know the third one pls
katen-ka-za [31]

Answer:

98

Step-by-step explanation:

we're doing PEDMAS, so do Exponents first.

3² = 9

8 + 10 x 9

Multiply

8 + 90

Add

98

4 0
3 years ago
Need help fast Thank
ollegr [7]
What you need help with
3 0
3 years ago
The equation x2 - 3x = 22
gizmo_the_mogwai [7]

Answer:

x = - 3.42443 or 6.42443

Step-by-step explanation:

5 0
3 years ago
Can some one help me plzz
zloy xaker [14]

Let me try . . .

When two lines intersect, they form four (4) angles, all at the same point.
There are two pairs of angles that DON't share a side, and a bunch of other
ones that do share sides. A pair of angles that DON't share a side are called
a pair of "vertical angles".

A pair of vertical angles are equal, but this problem isn't even asking you about
that; it's just asking you to find a pair of vertical angles.

Since you and I are not sitting together at the same table, I can't point to
the drawing and point out different angles to you.  You just have to go
through the choices, and find a choice where both angles are formed from
the same two lines.

The first choice (KRE and ERT) is no good, because KR,  RE,  and  RT
are parts of three different lines.

Check out the other 3 choices, and you're sure to find the only one where
both angles are formed by the same two lines.


4 0
3 years ago
Read 2 more answers
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