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densk [106]
3 years ago
9

Simplify completely 5+3(x-1)=

Mathematics
2 answers:
Dafna1 [17]3 years ago
7 0

Answer:

3x + 2

Step-by-step explanation:

This is the answer because if you distribute 3 to x-1, it would be 3x - 3, and if you add 5, you would get 3x + 2

dalvyx [7]3 years ago
3 0

First you must distribute the 3 to the numbers inside the parentheses, which would be x and -1...

5 + (3*x) + (3 * (-1) )

5 + 3x + (-3)

5 + 3x - 3

Now you must combine like terms. Like terms are numbers that have matching variables OR are numbers with out variables. In this case the like terms are 5 and -3, since they both don't have any variables attached.

(5 + (-3) ) + 3x

2 + 3x

3x + 2 is  5 + 3(x - 1) simplified completely

Hope this helped!

~Just a girl in love with Shawn Mendes

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What is the center of a circle represented by the equation (x-5)2+(y+6)2=42?
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Which pairs of points would result in a line with a rate of change of 2:1? select all that apply
Reil [10]

Answer:

A,C,D

Step-by-step explanation:

Complete Question:

<em>"Which pairs of points would result in a line with a rate of change of 2:1? select all that apply"</em>

<em>A.(−4,−11) and (−2−7) </em>

<em>B.(5,6) and (−5, 12) </em>

<em>C.(0,−3)and (−4,−11) </em>

<em>D. (0,−3) and (5, 7)</em>

<em />

Rate of change is the slope. 2:1 would mean a slope of simply, 2.

We need to find slope of each of the choices from A - D and see which one has 2. The formula would be:

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

Where m is the slope and

x_1 is first x point

x_2 is second x point

y_1 is first y point

y_2 is second y point

Let's calculate slope of each of the choices.

A.

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-7+11}{-2+4}\\m=2

THis one is okay.

B.

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{12-6}{-5-5}\\m=-\frac{3}{5}

THis one is not 2:1.

C.

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-11+3}{-4-0}\\m=2

THis one is okay.

D.

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{7+3}{5-0}\\m=2

This one is okay.

Hence, A, C, and D all have rate of change of 2:1

4 0
3 years ago
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