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Rashid [163]
3 years ago
7

What is the slope of the line below?

Mathematics
1 answer:
scoray [572]3 years ago
6 0

Answer:

-4

Step-by-step explanation:

The line goes to the left by 3 units and down by 12.

This makes the fraction -12/3 which is also -4

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Put the following equation of a line into slope-intercept form, simplifying all
kolbaska11 [484]

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

To put this into slope-intercept form, you need to isolate/get the variable "y" by itself in the equation:

8x - 6y = 6     Subtract 8x on both sides

8x - 8x - 6y = 6 - 8x

-6y = -8x + 6     Divide -6 on both sides to get "y" by itself

\frac{-6y}{-6} =\frac{-8x+6}{-6}

y=\frac{-8}{-6} x+\frac{6}{-6}

y=\frac{4}{3}x -1

3 0
3 years ago
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Write two expressions where the solution is 41.
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31 +10
21 + 20
23 + 18
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3 years ago
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A store sells cans of paint for $8 each, and brushes for $12 each. If they sell 100 items, and
Montano1993 [528]

Answer:

B.) 80 cans, 20 brushes

Step-by-step explanation:

Let the cans of paint be represented by variable <em>p</em> , and brushes by variable <em>b</em>

The first equation would be ; p + b = 100

p = 100 - b

The second equation would be;

8p + 12b = 880

Replace p in the equation by (100-b);

=8(100-b) + 12b =880

=800 - 8b +12b = 880

= subtract  800 from both sides to get;

4b = 880-800

4b = 80

divide both sides by 4 to solve for b;

b= 80/4

b = 20

If p + b = 100, then p+20 = 100

p = 100-20

p = 80

Therefore, they sold 80 cans of paint and 20 brushes

5 0
3 years ago
If a group of independent variables are not significant individually but are significant as a group at a specified level of sign
ycow [4]

Answer:

D) collinearity

Step-by-step explanation:

Collinearity occurs when a few of the independent variables are related or match up. Collinearity increases the large proportion the variance of an estimated regression coefficient which leads to certain regression coefficient having wrong signs. It is used to explain the relationship between two variables.

3 0
3 years ago
Which graph shows the solution to the system of linear inequalities?
tangare [24]

Answer:

  • See below

Step-by-step explanation:

<u>Given system:</u>

  • y ≥ 2x + 1
  • y ≤ 2x – 2

The solution is the common area shaded by the inequalities.

The lines are parallel because of same slope.

Both lines are solid because of equal sign in both inequalities.

The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.

The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.

The matching graph is the second picture (or attached below) and there is no solution.

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