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larisa [96]
4 years ago
11

Having trouble with this one can someone teach me how to find the slope in this question. Try to help me learn it aswell. Its in

the file down below (Find the Slope)

Mathematics
1 answer:
ASHA 777 [7]4 years ago
7 0
Hi there! The answer is -2.

We can find the slope of a formula by using the following formula:

slope = \frac{change \: of \: y}{change \: of \: x} =\frac{y2 - y1}{x2 - x1}
x2 and y2 don't mean squared, but the x and y coordinate of our second point.

First we need to find two points on the line. Ijn this particular case we have (-3, 3) and (1, -5). Now we can fill in the formula.

slope = \frac{ - 5 - 3}{1 - - 3} = \frac{ - 8}{4} = - 2

Therefore, the third answer is correct.
~ Hope this helps you!
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Find the general indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.
Maru [420]

Answer:

9\text{ln}|x|+2\sqrt{x}+x+C

Step-by-step explanation:

We have been an integral \int \frac{9+\sqrt{x}+x}{x}dx. We are asked to find the general solution for the given indefinite integral.

We can rewrite our given integral as:

\int \frac{9}{x}+\frac{\sqrt{x}}{x}+\frac{x}{x}dx

\int \frac{9}{x}+\frac{1}{\sqrt{x}}+1dx

Now, we will apply the sum rule of integrals as:

\int \frac{9}{x}dx+\int \frac{1}{\sqrt{x}}dx+\int 1dx

9\int \frac{1}{x}dx+\int x^{-\frac{1}{2}}dx+\int 1dx

Using common integral \int \frac{1}{x}dx=\text{ln}|x|, we will get:

9\text{ln}|x|+\int x^{-\frac{1}{2}}dx+\int 1dx

Now, we will use power rule of integrals as:

9\text{ln}|x|+\frac{x^{-\frac{1}{2}+1}}{-\frac{1}{2}+1}+\int 1dx

9\text{ln}|x|+\frac{x^{\frac{1}{2}}}{\frac{1}{2}}+\int 1dx

9\text{ln}|x|+2x^{\frac{1}{2}}+\int 1dx

9\text{ln}|x|+2\sqrt{x}+\int 1dx

We know that integral of a constant is equal to constant times x, so integral of 1 would be x.

9\text{ln}|x|+2\sqrt{x}+x+C

Therefore, our required integral would be 9\text{ln}|x|+2\sqrt{x}+x+C.

4 0
3 years ago
Please help with this, i tried to solve for x, and it didnt give me any of those answers
BartSMP [9]
The answer is A. x= -7
7 0
3 years ago
David is buying two CDs. His total before tax is $28.00. If the sales tax rate is 7%, how much tax will he pay?
Savatey [412]
$29.96 because 7% of 28 is 9.96 and 28+29.96 if you want to check my answer get a calculator and do 28x107%
6 0
3 years ago
12a+6b equivalent expression
patriot [66]

Answer:

6(2a+b)

Step-by-step explanation:

The given expression is

12a+6b

To find the equivalent expression of the given one, we just have to factor.

In this case, the only thing we can do to rewrite is to extract the common greatest factor, which is 6

12a+6b\\6(2a+b)

Therefore, the equivalent expression is

6(2a+b)

5 0
3 years ago
What is the remainder when 31,671 divided by 68
Elanso [62]

Answer:

51

Step-by-step explanation:

Step 1:

31,671/68 = 465.75

Step 2:

31671 - 31620 = 51

Answer:

51

Hope This Helps :)

6 0
3 years ago
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