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2 years ago

4 4/5 divided by 1 1/2

Mathematics

2 answers:

vesna_86 [32]2 years ago

5 0

Answer:

1⅗

Step-by-step explanation:

=44/5÷11/2

when two fractions are dividing,turn the division sign into multiplication sign and take the reciprocal of one fraction.That is,in one fraction let the numerator become the denominator and the denominator become the numerator

=44/5×2/11

then 11 goes into forty-four. 4

therefore

=4/5×2/1

=8/5

=1⅗

Arisa [49]2 years ago

3 0

Answer:

16/5 or 3 1/5 or 3.2

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3 years ago

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3 years ago

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bija089 [108]

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.