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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.

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Find the surface area of the prism shown (Remember, rectangular prisms have a total of 6 sides)
gregori [183]

Answer:

The answer is 190mm2

Step-by-step explanation:

(3x5)x2  30

(3x10)x2  60

(5x10)x2  100

add them all up to get 190

6 0
2 years ago
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One base of a trapezoid is five times as long as the other. The height is the average of the two bases. The area is 441 square u
Gelneren [198K]

Answer:

The length of the longer base he 35 units

Step-by-step explanation:

Here, we want to find the length of the longer base of the trapezoid

Mathematically, we can find the area using the formula;

1/2( a + b) h

where a is the shorter base

b is the longer base

h is the height

Let the shorter base be x

The other base is 5 times this length and that makes 5 * x = 5x

Height is the average of both bases;

(x + 5x)/2 = 6x/2 = 3x

Substituting these in the formula, we have ;

1/2(x + 5x)3x = 441

3x(6x) = 882

18x^2 = 882

x^2 = 882/18

x^2 = 49

x^2 = 7^2

x = 7

But the longer base is 5x and that will be 5 * 7 = 35 units

4 0
2 years ago
Carlos received 84 votes. That was 3 of every 7 votes cast in the class president election. How many votes were cast?
Step2247 [10]
336 votes total.

if he got 84 votes 3/7 so you take 84 times 4 (i got four by subracting 3 from 7 and got the remaining votes) and you will get 336 votes. hope this helps! :)
5 0
3 years ago
PLS HELP WILL MARK BRAINLIEST!1
tigry1 [53]

Answer:

what do you need help with?!

3 0
3 years ago
Determine the product<br> (4.2x100). (5.7x100)
Tom [10]

Answer:

(4.2x100).(5.7x100) = 239.400

Step-by-step explanation:

We need to determine the product of (4.2x100).(5.7x100).

We know that when two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For that reason, we can multiply all together, and the result will be the same regardless of the order of the multiplicands:

Then:

(4.2x100).(5.7x100) = 4.2x100x5.7x100 = 420x570= 239.400

7 0
3 years ago
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