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3 years ago

Why is the initial value and y-intercept the same thing on a graph?? someone please explain

1 answer:

8 0

-y is the vertical line and -x is the horizontal line. The only reason they would say -y 3 is to let you know that is the vertical... so you don’t mess up and mark 3 on the -x (horizontal) line

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20. Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than

KIM [24]

Answer:

(5, 8), (7, 1), (15, 3)

Step-by-step explanation:

a) The variables are defined in the problem statement. The total expenditure must satisfy ...

2.00x +3.50y ≤ 42.00

b) Possible solutions include ...

(x, y) ∈ {(5, 8), (7, 1), (15, 3)}

These were chosen by looking at the attached graph of the equation.

6 0

3 years ago

The are of a shaded region is 118 ft squared. Which equation can be- used to find the value of X, in feet?

Triss [41]

Answer:

$x^2+ 18x -130=0$

Step-by-step explanation:

Given

See attachment for diagram

Required

The equation to find x

First, calculate the area of the big rectangle using:

$Area = Length * Width$

So:

$A_1 = (x + 6) * (3x - 2)$

The smaller rectangle

$A_2 = (x - 1) * (2x)$

The difference between this areas give the area of the shaded region.

So:

$A_1 - A_1 = 118$

$(x+6)*(3x-2) - (x-1)*2x = 118$

Open brackets

$3x^2 - 2x + 18x -12 -2x^2 +2x = 118$

Collect like terms

$3x^2 -2x^2- 2x +2x+ 18x -12 - 118=0$

$x^2+ 18x -130=0$

<em>The above equation can be used to solve for x</em>

4 0

3 years ago

What is the equation in point-slope form if a line that passes through points (3,-5) and (-8,4)?

nignag [31]

The slope-point formula:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have (3, -5) and (-8, 4).

Substitute:

$m=\dfrac{4-(-5)}{-8-3}=\dfrac{9}{-11}=-\dfrac{9}{11}\\\\y-4=-\dfrac{9}{11}(x-(-8))\\\\y-4=-\dfrac{9}{11}(x+8)\to C)$

3 0

3 years ago

What is the value of x? <br> -2/7x+6+1/7x=18 <br> x=

Alenkinab [10]

$- \frac{2}{7} x$ + 6 + $\frac{1}{7} x$ = 18

First, simplify $\frac{2}{7} x$ to $\frac{2x}{7}$ / Your problem should look like: $-\frac{2x}{7}$ + 6 + $\frac{1}{7} x$ = 18
Second, simplify $\frac{1}{7} x$ to $\frac{x}{7}$ / Your problem should look like: $- \frac{2x}{7}$ + 6 + $\frac{x}{7}$ = 18
Third, simplify $- \frac{2x}{7}$ + 6 + $\frac{x}{7}$ to $- \frac{x}{7}$ + 6 / Your problem should look like: $-\frac{x}{7}$ + 6 = 18
Fourth, regroup terms. / Your problem should look like: 6 - $\frac{x}{7}$ = 18
Fifth, multiply both sides by 7. / Your problem should look like: 42 - x = 126
Sixth, subtract 42 from both sides. / Your problem should look like: -x = 126 - 42
Seventh, simplify 126 - 42 to 84. / Your problem should look like: -x = 84
Eighth, multiply both sides by -1. / Your problem should look like: x = -84

Answer: x = -84

4 0

3 years ago

The answer with an explanation please

ValentinkaMS [17]

Answer:

Step-by-step explanation:

5) C because median is the middle of the set of numbers source A median is 4 source B median is 6 and 4 is 2 less than 6.

6) C because there are 6 numbers altogether and 1 6s on a dice so 6+6 because we have two dice and 2 6s on both so 2/12 or simplified 1/6

7) D because mean is all the numbers add up divided by the amount of numbers so 20+25+30+20+30 = 125 and 125 ÷ 5 = 25

8 B because mean is all the numbers add up divided by the amount of numbers so

5+6+7+8+8+8+8+8+8+9+9 = 76 ÷ by 10 is 7.6

7+7+7+7+8+8+8+8+10+10 = 80 ÷ by 10 = 8

8 + 7.6 = 15.6 ÷ 2 = 7.8 and B is closest to 7.8

4 0

3 years ago