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Wewaii [24]
2 years ago
7

Simplify 9+ (-2)^3 HELP PLEASE

Mathematics
2 answers:
Oliga [24]2 years ago
8 0

Answer:

1

Step-by-step explanation:

Raise -2 to the power of 3 = -8

9-8= 1

Mila [183]2 years ago
7 0

Answer:

1

Step-by-step explanation:

A number raised to the 3rd power is equal to that number multiplied by itself twice. Below I have expanded the expression to visualize this process. If this makes it more confusing, the main way is just to go from line 1 to line 4.

9 + (-2)³                          <---- Original expression

9 + (-2 x -2 x -2)             <---- (-2)³ expanded

9 + (4 x -2)                     <---- -2 times -2

9 + (-8)                           <---- 4 x -2                    

1                                     <---- 9 - 8

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3 years ago
Find the following integral. <br> Integrate x + 5/x^2 +10x +26 dx
sweet-ann [11.9K]

Given :

Polynomial , f(x)=x+\dfrac{5}{x^2}+10x+26 .

To Find :

Integration of f(x) .

Solution :

We know , integration of x^n is :

\int x^n \, dx = \dfrac{x^{n+1}}{n+1}+C

( Here , is C is a constant )

Now ,

\int f(x)\ dx=\int( x+\dfrac{5}{x^2}+10x+26)dx\\                  \\                 \int f(x)\ dx= \int x\ dx+\int 5x^{-2}\ dx+\int 10 x \ dx +26\ dx\\                 \\                 \int f(x)\ dx=\dfrac{x^2}{2}+\dfrac{5\times x^{-1}}{(-1)}+\dfrac{10x^2}{2}+26x+C\\\\                 \int f(x)\ dx=\dfrac{11x^2}{2}+26x-5x^{-1}+C

Therefore , the integration is \dfrac{11x^2}{2}+26x-5x^{-1}+C .

Hence , this is the required solution .

6 0
3 years ago
How do you solve this?
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The line graph shown below is of the amount of money astudent earns at a part time job, per hour. What is the students wage rate
xeze [42]

1) The two lines are <em>perpendicular</em>. (Correct choice: True)

2) The slope of the <em>linear</em> function is $ 10 per hour. (Correct choice: A)

<h3>How to analyze and interpret linear functions</h3>

Herein we must understand and analyze <em>linear</em> functions to find all required information from two exercises. The first exercise asks us to prove if the two lines seen are <em>perpendicular</em> and the second exercise asks us to calculate and interpret the slope of the <em>linear</em> function. Now we proceed to resolve each point:

Exercise 1

If the two lines are perpendicular, then the product of the two slopes must be equal to - 1. The value of slope can be found by <em>secant line</em> formula:

m · m' = - 1

[(1 - 2) / [0 - (-1)]] · [[-1 - (- 2)] / (1 - 0)]

(- 1 / 1) · (1 / 1)

- 1

The two lines are <em>perpendicular</em>. (Correct choice: True)

Exercise 2

In this part we must determine the rate of change of wage in time, in monetary units per time, which can be found by again by the <em>secant line</em> formula:

m = ($ 10 - $ 0) / (1 h - 0 h)

m = $ 10 per hour

The slope of the <em>linear</em> function is $ 10 per hour. (Correct choice: A)

To learn more on linear functions: brainly.com/question/21107621

#SPJ1

5 0
1 year ago
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