Answer:
The value of y that satisfies the system of equations is 20
Step-by-step explanation:
we have
we know that
The solution of the system of equations is the intersection point both graphs
using a graphing tool
the intersection point is (-3,20)
see the attached figure
therefore
The value of y that satisfies the system of equations is 20
Answer:
2. B) The events have a strong positive linear correlation.
1. C) Find the slope using the slope formula:
Step-by-step explanation:
2. The correlation coefficient is 0,02, which is positive, so this would be the obvious choice.
1. You CANNOT write a linear equation without FIRST finding the rate of change [slope]. You will ALWAYS need the rate of change in order to write any linear equation.
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The batch of fruit salad has an equal amount of apples and cherries. This is because there are 1 1/2 c of apples and 1 2/4 c of cherries. the 1 1/2 is already simplified but the 1 2/4 is not. 1 2/4 is the same as 1 1/2, therefore apples and cherries have equal amounts.
<h3>
Part A:</h3>
The area A of a rectangle is A = bh, where b is the base of the rectangle and h is the height. The area of each rectangle with side lengths 1.5 ft and 2 ft is 1.5 × 2 = 3ft2. Since there are two rectangles with these dimensions, the combined area is 2 × 3 = 6 ft2. The area of each rectangle with side lengths 1.5 ft and 2.5 ft is 1.5 × 2.5 = 3.75 ft2. The area of each rectangle with side lengths 2 ft and 2.5 ft is 2 × 2.5 = 5 ft2. Since there are two rectangles of each type, the combined area is 2 × 3.75 + 2 × 5 =17.5 ft2. <u><em>So, the total surface area of the box is 6 ft2+ 17.5 ft2 = 23.5 ft2</em></u>
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<h3>Part B:</h3>
The employee needs to wrap 8 boxes, each with a surface area of 23.5 ft2. So, the combined surface area needing to be wrapped is 8 × 23.5 = 188 ft2. Since there is only 160 square feet of wrapping paper left, the employee will not be able to wrap all of the gifts
