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chubhunter [2.5K]
3 years ago
11

What is the average rate of change of f on the interval [-5,1]

Mathematics
1 answer:
worty [1.4K]3 years ago
6 0
Anyhow, note the f(x) you have, bearing in mind, you kinda skipped posting it

\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}
\\\\\\
f(x)\qquad 
\begin{cases}
x_1=1\\
x_2=-5
\end{cases}\implies \cfrac{f(-5)-f(1)}{-5-1}
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Asap please!! Which graph shows the solution set of the inequality 29(x+8) < 26.17
Ksju [112]

Answer:

Just solve for x

2.9(x + 8) < 26.1

2.9x + 23.2 < 26.1

Subtract 23.2 from both sides

2.9x < 2.9

Divide 2.9 from both sides

x < 1

So it's the bottom choice. x is less than 1 has an open circle on 1 with an arrow pointing left.

7 0
3 years ago
A wave is modeled with the function y = 1/2 sin 3 theta. Describe the graph of this function, including its period, amplitude, a
PolarNik [594]
It is a sinusoidal graph, which oscilates around the x-axis (y=0), from y = -0.5 to y = 0.5

General description (as reference)
It passes through the origin (0,0), increases until the max value (y = 0.5) when x = π6, then start to decrease,  crosses the x-axis x = π/3, continues decreasing until the min value (y = -0.5) when x = 2π/3, then it starts to increase, crossing the x-axis again at x = 2π/3, and the pattern repeats indefinetely to the right of x = 2π/3 and to the left of x = 0.

 Specific description:

Amplitud: 0.5----> the coefficient in front of the sine function

Period: 2π/3 ----> 2π divided by the coefficient in front of the argument (3)

Points of intersection with the x-axis: 0 + /- nπ/3, with n = 0,1,2,3,.....

Type of function: odd

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4 years ago
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Step-by-step explanation:

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(Complementary angles)

74° + m∠2 = 90°

m∠2 = 90° - 74°

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Step-by-step explanation:

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