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3 years ago

Find all real solutions of the equation. (Enter your answers as a comma-separated list.)

Mathematics

1 answer:

34kurt3 years ago

7 0

Answer:

0,1

Step-by-step explanation:

x^2 − x = 0

Factor out an x

x(x-1) =0

Using the zero product property

x=0 x-1=0

Solving each equation

x=0 x-1+1 =0+1

x=0 x=1

The solutions are

x=0,1

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Solve the system of equations. Write the solution as an ordered pair.

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Answer:

Point Form:

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Equation Form:

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3 years ago

A 12" diameter ball rolls around inside the bottom of a rectanglar bow that is 14" wide and 30" long.The ball always touches the

julsineya [31]

Answer:

1. Shape of line drawn by round ball is: Rectangle

2. Length of path round ball creates is: 64 inches

Step-by-step explanation:

The perimeter of the box is 30+30+14+14 = 88 inches.

We find a rectangle path of the round ball to be interior rectangle shape and measures 64 inches.

The shape of the path is rectangle, this is because when the balls direction from horizontal to vertical is drawn from the central line to the ball - the ball still rotates but such central line stays stationary in a straight line at same distance from edge as it changes direction so therefore it stays perpendicular and creates a rectangle shape. Only an oval ball would draw a line of oval shape due to its central line curving against the perpendicular edge of the rectangle. The round ball cannot create a square shape as the sides of the rectangle when reduced by 6'' + 6'' either side of length 30 = 18 inches and is still longer than the shorter sides of the box being 14'' which becomes 14- 6=8 inches to each side.

2. To find the path length- we look for the difference in width of the central ball first which is 12'' divided by 2 = 12/2 = 6 = 6 inches. We can then deduct this from 14'' and from 30'' then multiply by 2.

Width of one side = 14-6 = 8

= 8 inches

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= 24 inches

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3 years ago

Use the points to describe the data and determine the line of best fit.

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Answer:

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Step-by-step explanation:

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A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides is to be made of material t

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Answer:

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Step-by-step explanation:

GIVEN: A fence is to be built to enclose a rectangular area of $240$ square feet. The fence along three sides is to be made of material that costs $6$ dollars per foot, and the material for the fourth side costs $12$ dollars per foot.