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3 years ago

Which Is A Correct First Step For Solving This Equation? -5(4x-7)+8=3x

Mathematics

1 answer:

nordsb [41]3 years ago

5 0

I'm not sure if this is a multiple choice question, so I will just solve the equation.

-5 (4x - 7) + 8 = 3x

-5 (4x + (-7)) + 8 = 3x

1. Distributive Property of Multiplication

(-5)(4x) + (-5)(-7) + 8 = 3x

2. Simplify

-20x + (-35) + 8 = 3x

3. Simplify again

-20x - 27 = 3x

4. Add 27 to both sides and then subtract 3x from both sides to get all the x's by themselves on the same side

-20x - 27 + 27 = 3x + 27

-20x - 3x = 3x + 27 - 3x

5. Simplify

-23x = 27

6. Divide

-23x / -23 = 27 / -23

7. Simplify

Answer:

Hope this helps!

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Find the mean of: 16 32 10 28 8 19 32 26 33 39 98 399

iren2701 [21]

Answer:

91.125

Step-by-step explanation:

Total number/ Total number of quantity

16+32+10+28+8+19+32+26+33+39+98+399

729

Divode by number of quantity (8)

729/8

=91.125

Hope this helps, dont hesitate to Ask in comment below. Mark me as brainliest also appriciated!!

5 0

3 years ago

Find the equation of this line. y= [?]x+[?]

DochEvi [55]

Answer:

$y=3x-4$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

$m=\displaystyle\frac{y_2-y_1}{x_2-x_1}$ where two points that fall on the line are $(x_1,y_1)$ and $(x_2,y_2)$

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

$m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3$

Therefore, the slope of the line is 3. Plug this into $y=mx+b$ :

$y=3x+b$

2) Determine the y-intercept (b)

$y=3x+b$

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into $y=3x+b$ :

$y=3x+(-4)\\y=3x-4$

I hope this helps!

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2 years ago

PLEASE HELP - System of equations matrix prepresents

Sever21 [200]

9514 1404 393

Answer:

the marked choice is the correct one

Step-by-step explanation:

A suitable calculator or web app can reduce this matrix for you.

The solution is represented by the matrix ...

$\left[\begin{array}{ccc|c}1&0&0&1\\0&1&0&-1\\0&0&1&3\end{array}\right]$

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2 years ago

Rachel rents three DVDs from Watchflicks and two DVDs from Bluechest. The probability that a DVD is faulty is 4% for Watchflicks

Vera_Pavlovna [14]

Answer:

0.017

Step-by-step explanation:

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3 years ago

Which of the following best shows the distributive property?

alex41 [277]

Answer:

2(2 + 3) = 2(2) + 2(3)

Step-by-step explanation:

The first one shows the associative property.

In the second one, the paranthesis is being solved first, therefore the rule of PEMDAS is being applied.

The last one displays the commutative property.

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2 years ago

Read 2 more answers