Answer:
Step-by-step explanation:
6)Let the number be x
Product of a number and -4 = x * -4 = -4x
Product of a number and -4 increase by 3 : -4x + 3
-4x +3 = 9
Subtract 3 from both sides
-4x + 3 - 3 = 9 - 3
-4x = 6
Divide both sides by (-4)
-4x/-4 = 6/-4
x = -3/2
x = -1 1/2
7)Let the number be x

Add 9 to both sides

Multiply both sides with 6

x = 120
Answer:
Piyush walks faster than Laura
Step-by-step explanation:
we know that
The rate or speed is equal to the slope of the linear equation
<em>Laura</em>
y=3.5x
The slope is 
<em>Piyush</em>
Determine the slope of the line
we have the points
(0,0) and (4,18)
The line represent a direct variation (because passes through the origin)
so

For x=4 h, y=18 mi
substitute

Compare the slopes

therefore
Piyush walks faster than Laura
Answer:
The height is 7 m.
Step-by-step explanation:
Volume = 1/3 * area of the base * height, so
28 = 1/3 * 3 * 4 * h
4h = 28
h = 7.
All the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.
<h3>What is a graph?</h3>
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
When we plot all the points on the graph we can see that all the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) are located in the solution region.
Therefore all the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.
To know more about graphs follow
brainly.com/question/25020119
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Answer:
Step-by-step explanation:
C(x) = 15x + 25,500....cost function
R(x) = 32x .....revenue function
break even point (when they are equal)....so set them equal and solve for x
15x + 25,500 = 32x
25,500 = 32x - 15x
25,500 = 17x
25,500 / 17 = x
1500 = x.......so the break even point is when 1500 benches are sold
15x + 25,500 = 32x =
15(1500) + 25,500 32(1500) =
22,500 + 25,500 48,000
48,000
and after selling 1500 benches, they will both equal $48,000