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DanielleElmas [232]
2 years ago
12

In the equation 5x-2=-x-20, What is the value of x? a. 2 b. -1 c. -3 d. -2

Mathematics
1 answer:
mestny [16]2 years ago
7 0

Answer:

C choice.

Step-by-step explanation:

5x - 2 =  - x - 20 \\

First, we move the same terms to the same side.

5x + x =  - 20 + 2 \\ 6x =  - 18

Then we move 6 to divide - 18.

x =  \frac{ - 18}{6}  \\ x =  - 3

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5. Which of the following linear functions has a graph which passes through points (−5,−2) and (−3,0)?
sergeinik [125]

Answer:

f(x) = x + 3

Step-by-step explanation:

Given

Points (−5,−2) and (−3,0)

Required

Find a linear function that passes through the given points

The question implies that we solve for the equation for the line;

First, the slope of the line must be calculated;

This is calculated as thus:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where (x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)

So, m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{0 - (-2)}{-3 - (-5)}

m = \frac{0 + 2}{-3 + 5}

m = \frac{2}{2}

m = 1

The equation of the line can then be calculated using any of the given points;

Using

m = \frac{y - y_1}{x - x_1}

Where\ (x_1,y_1) = (-5,-2)\ and\ m =1

We have

1 = \frac{y-(-2)}{x-(-5)}

1 = \frac{y+2}{x+5}

Multiply both sides by x + 5

(x+5)*1 = \frac{y+2}{x+5} * (x+5)

x + 5 = y + 2

Subtract 2 from both sides

x + 5 - 2 = y + 2 - 2

x + 3 = y

y = x + 3

Replace y with f(x)

f(x) = x + 3

Hence, from the list of given options; Option B is correct

8 0
3 years ago
Solve by the linear combination method (with or without multiplication).
iris [78.8K]
I hope this helps you

8 0
2 years ago
How do you divide integers
Tom [10]

You multiply or divide integers just as you do whole numbers, except you must keep track of the signs. To multiply or divide signed integers, always multiply or divide the absolute values and use these rules to determine the sign of the answer.

<span>
When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive.</span>

<span>Positive x positive = positive 
Negative x negative = positive</span>

<span>When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative.</span>

<span>Positive x negative = negative
Negative x positive = negative</span>

<span>When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.</span>

<span>Positive ÷ positive = positive
Negative ÷ negative = positive</span>

<span>When you divide two integers with different signs, the result is always negative. Just divide the absolute values and make the answer negative.</span>

5 0
3 years ago
Read 2 more answers
What is another way to show that 4/6 = 8/12?
Varvara68 [4.7K]

what I think is the answer is 2/3

6 0
3 years ago
Calculate the area of a circle with a diameter of 6cm
USPshnik [31]
Formula for area of circle:
A=πr²
Here diameter, d= 6 cm
Radius, r= d/2 = 6/2 = 3 cm
Put values
A= 3.14 x 3²
A=3.14 x 9
A=28.26 cm²

Answer: 28.26 cm²

7 0
2 years ago
Read 2 more answers
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