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2 years ago

-8(x-3y) when x=-2 and y=-4

2 answers:

8 0

-8(x-3y) when x=-2 and y=-4. To solve the answer, we need to do like this
-8(x-3y)
Substitute x with -2 and y with -4
-8[-2-3(-4)]
=-8(-2+12)
=-8(10)
=-80
Or
-8(x-3y)
Use distributive property
-8(x)-8(-3y)
=-8(x)+24(y)
Substitute x with -2 and y with -4
-8(-2)+24(-4)
=16-96
=-80. As a result, the correct answer is -80. Hope it help!

seropon [69]2 years ago

6 0

First let's put in the values.

-8(-2-3·-4)

Solve using PEMDAS

Parentheses (Multiplication)

-8(-2+12)

Parentheses (Addition)

-8 · 10

Multiplication

-80

The answer is -80

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sweet-ann [11.9K]

Answer:

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Step-by-step explanation:

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2 years ago

-3x + 1 + 10x = x + 4 x = 12 x = 18

s344n2d4d5 [400]

-3x + 1 + 10x = x + 4

-3x +10x -x = 4 -1

6x = 3

x = 3/6

3 0

2 years ago

30 POINTS FOR THE GENUIS WHO CAN ANSWER THIS!!

bearhunter [10]

Answer:

Answers are below in bold

Step-by-step explanation:

1) A = 1/2bh Use this equation to find the area of each triangular base

A = 1/2(8)(6) Multiply

A = 1/2(48) Multiply

A = 12cm² Area of each triangular base

2) A = L x W Use this equation to find the area of the bottom rectangular face

A = 20 x 8 Multiply

A = 160 cm² Area of the bottom rectangular face

3) A = L x W Use this equation to find the area of the back rectangular face

A = 20 x 6 Multiply

A = 120 cm² Area of the back rectangular face

4) A = L x W Use this equation to find the area of the sloped rectangular face

A = 20 x 10 Multiply

A = 200 cm² Area of the sloped rectangular face

5) To find the total surface area of the triangular prism, add together all of the numbers.

A = 12 + 12 + 160 + 120 + 200 Add

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6 0

2 years ago

A survey of 80 randomly selected companies asked them to report the annual income of their presidents. Assuming that incomes are

Artyom0805 [142]

Answer:

The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

Step-by-step explanation:

The information provided is:

$n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%$

The critical value of z for 90% confidence level is, 1.645.

Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)$

Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.

4 0

2 years ago

Type the correct answers out, thank you - 20 POINTS

nadezda [96]

AB and BC form a right angle at their point of intersection. This means AB is perpendicular to BC.

We are given the coordinates of points A and B, using which we can find the equation of the line for AB.

Slope of AB will be:

$m= \frac{-1-1}{14-2}=-1/6$

Using this slope and the point (2,1) we can write the equation for AB as:

$y-1= \frac{-1}{6}(x-2) \\ \\ 
y= -\frac{1}{6}x+ \frac{1}{3}+1 \\ \\ 
y=-\frac{1}{6}x+ \frac{4}{3} 
$

The above equation is in slope intercept form. Thus the y-intercept of AB is 4/3.

Slope of AB is -1/6, so slope of BC would be 6. Using the slope 6 and coordinates of the point B, we can write the equation of BC as:

y - 1 = 6(x - 2)
y = 6x - 12 + 1
y = 6x - 11

Point C lies on the line y = 6x - 11. So if the y-coordinate of C is 13, we can write:

13 = 6x - 11
24 = 6x
x = 4

The x-coordinate of point C will be 4.

Therefore, the answers in correct order are:

4/3 , 6, -11, 4

8 0

2 years ago