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3 years ago

Please help solve the problem!

Mathematics

1 answer:

steposvetlana [31]3 years ago

7 0

The answer is 18

1458 divided by 6 = 243

1476 divided by 6 = 246

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Savatey [412]

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3 years ago

The number of students in a math club decreased from 15 to 11. What is the percent decrease? Round to the nearest percent.

Alinara [238K]

Answer:

27%

Step-by-step explanation:

Decrease= 15-11

Percentage=4÷15

=0.266666667

=26.667%

~27%

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3 years ago

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Vaselesa [24]

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3 years ago

Carol wants to build a fence around her

yaroslaw [1]

Answer:

540$

Step-by-step explanation:

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5 0

3 years ago

What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So, the average rate of change of:

$f(x)=-x^2+3x+6$

Over the interval $-3$

Is:

$f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12$

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Therefore, the average rate of change of this function over that interval is 3.

3 0

3 years ago