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3 years ago

Wayne plays guitar in a rock band. Apart from playing for his band, he has played guitar on 10 albums by other artists.

1 answer:

6 0

The correct answers are:

A) constant
B) straight line
C) linear

Explanation:

The equation y=0.25x+10 is in slope-intercept form, y=mx+b where m is the slope and b is the y-intercept. The slope is the rate of change. The number in our equation that is in place of m is 0.25. This means for every change in x, the graph will go up 0.25. The rate of change is the same throughout the entire function, so this is a constant rate of change.

Since the rate of change is constant, the graph will be a straight line. A constant rate of change means there is the same distance between every two points on the graph; this is only true of a straight line.

Since the graph is a straight line, the function is linear by definition.

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Question 5 (5 points) Solve 5(8 - 2) + g = 6(8 - 4). a.0 b. all numbers c.0 d.2

anzhelika [568]

By solving the equation i got g=-6 but i’m probs wrong

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3 years ago

g find all the values of p for which the following functions are improperly integrable on the indicated domain. be sure to prove

mel-nik [20]

Answer:

1. In order to make the integral improper $p$ must be 1.

2. In order to make the integral improper $p$ must be 1.

Step-by-step explanation:

Using the rules of integration we get that for

$f(x)= \frac{1}{x^p}$

$\int\limits_{0}^{1} \frac{1}{x^p} \, dx = \frac{x^{1-p}}{(1-p)} \, |\limits_{0}^{1} = \frac{1}{1-p} - 0 = \frac{1}{1-p}$

Therefore in order to make that integral improper $p$ must be 1.

If p = 1 then you would have a 1/0 indeterminate form.

2. Using the of integration, specifically substitution we get that for

$f(x) = \frac{1}{x(ln(x)^p)}$

$\int\limits_{e}^{\infty} \frac{1}{x(ln(x))^p} \, dx = \frac{(ln(x))^{1-p}}{1-p} \, |\limits_{e}^{\infty}$

For $p \geq 1$ we would have

$\int\limits_{e}^{\infty} \frac{1}{x(ln(x))^p} \, dx = \frac{1}{p-1}$

And the problem is the same. If $p=1$ we would have a 1/0 indeterminate form.

5 0

3 years ago

Select the number property that will justify the step in the following expression. 6 + (14 + 70) = (6 + 14) + 70 = 20 + 70 = 90

prohojiy [21]

Commutative property L

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3 years ago

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2 1/2 ÷ 4=????? please help me

Umnica [9.8K]

Answer:

.625

Step-by-step explanation:

first i turned 2 1/2 into .5 then i divided.

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3 years ago

Read 2 more answers

The ratio 20/10=5/n. What does n equal?

DIA [1.3K]

N is equal to 2.5

I divided 20 by 5 to get 4. = 20 ÷ 5 = 4. So, I divide 10 by 4 to get n. = 10 ÷ 4 = 2.5

Or we can do this solution.

20 5
---- = ---- ; do cross multiplication. 20n = 10(5)
10 n

20n = 50 ; to get n, divide both sides by 20. 20n / 20 = 50 / 20 = n = 2.50

Whichever way: 20/10 = 5/2.5

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3 years ago