Please help me with this question

Mathematics

1 answer:

Margaret [11]3 years ago

5 0

A= pi r squared. 100 pi, or 314 inches squared.

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The length of a rectangular poster is 9 more inches than two times its width. The area of the poster is 161 square inches. Solve

irinina [24]

Answer:

Width = 7 inches

Length = 23 inches

Step-by-step explanation:

Let :

length = 2x + 9
width = x

Equating to area :

(2x + 9)(x) = 161
2x² + 9x = 161
2x² + 9x - 161 = 0
2x² - 14x + 23x - 161 = 0
2x(x - 7) + 23(x - 7) = 0
x - 7 = 0
x = 7

Dimensions are :

Width = 7 inches
Length = 2(7) + 9
Length = 23 inches

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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:

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