simplify expressions with distribution
8x – 6(-6x + 4)

Answer:

2.4 or 2 2/5

Step-by-step explanation:

Answer:

The equation of a line that passes through the points (-2, 8) and (1,−1) in the fully reduced form will be:

Step-by-step explanation:

Given the points

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-2,\:8\right),\:\left(x_2,\:y_2\right)=\left(1,\:-1\right)[/tex]

[tex]m=\frac{-1-8}{1-\left(-2\right)}[/tex]

[tex]m=-3[/tex]

As the equation of a line in point-slope form is given by:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -3 and the point (-2, 8)

[tex]y-8=-3\left(x-\left(-2\right)\right)[/tex]

[tex]y-8=-3\left(x+2\right)[/tex]

[tex]y-8+8=-3\left(x+2\right)+8[/tex]

[tex]y=-3x+2[/tex]

Therefore, the equation of a line that passes through the points (-2, 8) and (1,−1) in the fully reduced form will be:

Answer:

10a+70

Step-by-step explanation:

7x+21

13x

12a-36

-22x

-4b-12

say

Answer:

-9/8 times x

Step-by-step explanation:

9x+8y=7 also = y=-9/8x+7/8.

Answer: the constant is 7

Step-by-step explanation:

Answer:

Large necklaces for 5 is $28.00 and small 3 necklaces is $14.10

Step-by-step explanation: $5. 60 times 5 equals to $28.00 and $4.70 times 3 equals $14.10

Answer:

The answer is $42.10

Step-by-step explanation:

All you have to do is multiply 5.6 by 5

and multiply 4.7 by 3

Then you add the products together to get your answer

Answer:

just plug in the a b c and d for r and wich ever one makes that equatio equal then it that on

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1.5(4-R)=12 divide both sides by -1.5

4-R=12/-1.5 calculate

4-R= -8 subtract 4 from both sides

-R=-8-4 calculate

-R=-12 multiply by -1

R=12

Answer:

they are both divisible by 3

7 x 3 = 21

5 x 3 = 15

Step-by-step explanation:

hope this helps lucas (mr. calvelo)

Answer:

y=x+0.625

Step-by-step explanation:

Since, x represents the number of hour kiran read,

According to the question,

The number of hours Andre read = 5/8 more than the number of hour kiran read

= 5/8 more than x

= x + 5/8 of x

Answer:

Step-by-step explanation:

Let the number of representatives be r and senators be s

The we have system of equations:

Substitute r in the first equation:

Solving for s:

Answer:

125

Step-by-step explanation:

Answer:b

Omnivore and predator

Step-by-step explanation:

Answer:

[tex]y = 7(3^x)[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0,7)[/tex]

[tex](x_2,y_2) = (4,567)[/tex]

Required

Determine the formula

An exponential function is of the form:

[tex]y = ab^x[/tex]

For point [tex](x_1,y_1) = (0,7)[/tex]

[tex]7 = ab^0[/tex]

[tex]7 = a*1[/tex]

[tex]7 = a[/tex]

[tex]a = 7[/tex]

For point [tex](x_2,y_2) = (4,567)[/tex]

[tex]567 = ab^4[/tex]

Substitute 7 for a

[tex]567 = 7*b^4[/tex]

Divide both sides by 7

[tex]81 = b^4[/tex]

Take 4th root of both sides

[tex]\sqrt[4]{81} =\sqrt[4]{b^4}[/tex]

[tex]\sqrt[4]{81} =b[/tex]

[tex]b = \sqrt[4]{81}[/tex]

[tex]b = 3[/tex]

Substitute 7 for a and 3 for b in [tex]y = ab^x[/tex]

[tex]y = 7 * 3^x[/tex]

[tex]y = 7(3^x)[/tex]

Answer:

A

Step-by-step explanation:

Answer:

Easy B                  

Step-by-step explanation: srry If It's Wrong

Answer:

he can make 5 batches of cookies

Step-by-step explanation:

Answer:

Cheetahs can go from 0 to 60 miles per hour in just 3.4 seconds and reach a top speed of 70 miles per hour. While they are the fastest land animal in the world, they can only maintain their speed for only 20 to 30 seconds.

Step-by-step explanation:

Answer:

ok this was a good one so here

Step-by-step explanation:

4 120 30

25 750 30

9 270 30

Answer:

12

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle

3x + 4 + 2x + 1 = 6x - 7 add like terms

5x + 5 = 6x - 7

5 + 7 = 6x - 5x

12 = x

Answer:

m=n

Step-by-step explanation:

Answer:

Option (D)

Step-by-step explanation:

By applying sine rule in the triangle shown,

Since, [tex]\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

By this rule,

[tex]\text{sinx}=\frac{\text{5000}}{8000}[/tex]

x = [tex]\text{sin}^{-1}(\frac{5}{8})[/tex]

x = [tex]\text{sin}^{-1}(0.625)[/tex]

x = 38.682°

  ≈ 38.7°

Therefore, Option (D) is the correct option.

Answer:

1. $82,500

2. 169 : 110

Step-by-step explanation:

The computation is shown below:

Given that

1. Ratio between two computers is 3:2

And the first computer cost is $55,000

Let us assume the price of the second computer be x.

As we know that

Product of extremes = Product of mean.

2 : 3 :: 55000 : x .

Now cross mutiplication is to be done

2x = $55,000 × 3

x = $1,650,000 ÷ 2

= $82,500

2. Now if the price of the 2nd computer rised by $2,000

So the new cost would be

= $82,500 + $2,000

= $84,500

Now the ratio would be

= $55,000 :  $84,500

= 169: 110

Answer:

Step-by-step explanation:

If it costs $30 to make 6 notebooks then that is $5 for each notebook. So multiply $5 times 50 and you get $250.

Answer:

The required value of x is 12 units.

Step-by-step explanation:  Given that the figure A is a scale image of figure B.

We are to find the value of x.

Since figure A is the scale image of figure B, so both the figures are similar to each other.

Also, the corresponding sides of the similar figures are proportional, so we get

Thus, the required value of x is 12 units.

Explanation:

Each time x goes up by 1, y goes up by 18

slope = rise/run

slope = (change in y)/(change in x)

slope = 18/1

slope = 18

You can also use the slope formula to get the same answer. Let's say we picked the points (2,36) and (3,54). We then would get

m = (y2-y1)/(x2-x1)

m = (54-36)/(3-2)

m = 18/1

m = 18

We get the same result as before.

Since x represents the number of years and y is the number of inches, the slope of 18/1 indicates an increase of 18 inches per 1 year, or just 18 inches per year.

Answer:

17

Step-by-step explanation:

Answer:

1. Three things influence the margin of error in a confidence interval estimate of a population mean: sample size, variability in the population, and confidence level. For each of these quantities separately, explain briefly what happens to the margin of error as that quantity increases.

Answer: As sample size increases, the margin of error decreases. As the variability in the population increases, the margin of error increases. As the confidence level increases, the margin of error increases. Incidentally, population variability is not something we can usually control, but more meticulous collection of data can reduce the variability in our measurements. The third of these—the relationship between confidence level and margin of error seems contradictory to many students because they are confusing accuracy (confidence level) and precision (margin of error). If you want to be surer of hitting a target with a spotlight, then you make your spotlight bigger.

Answer:

the three things influence the margin of error in a confidence interval estimate of a population mean - sample size variability in the population and confident level as the variability in the population increases the margin of error increases. as the cofidence level increases, the margin of error increases.

Step-by-step explanation:

hope this helps :)

Answer:

the answer is A

Step-by-step explanation:

Answer: 42

Step-by-step explanation: 3 x 14

Answer:

Slope is 8 here

Y= mx +c

And c= 8

Y = - 2x + 8

D

Step-by-step explanation:

the y is -2

and the slope is 2/5

which means it is y=2/5x -2

Answer:

Step-by-step explanation:

A=P(1+r)^t

where A-final amount, P-intial amout, r-interest rate, t-time

A=1000(1+0.03)^3 = $ 1092.73