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3 years ago

Please help asap!! will mark best answer brainliest

Mathematics

1 answer:

TiliK225 [7]3 years ago

7 0

The answer is D.
The shaded region has points less than the line and the y intercept is -4.

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4 years ago

A cable is 84 meters long, it is cut into two pieces so that one piece is 18 meters longer than the other. Find the length of ea

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Long Piece: x + 18

Short Piece: x

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2x + 18 = 84

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3 years ago

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2 years ago

Use the intercepts of the following quadratic curve to find its graph.y = -1/2x^2 -3/2x+2

Solnce55 [7]

The correct graph is fourth option

Explanation: $\begin{gathered} \text{The quadratic function:} \\ \text{y = }\frac{-1}{2}x^2\text{ - }\frac{3}{2}x\text{ + 2} \end{gathered}$

Using the intercepts: we have x-intercept and y-intercept

To get x intercept, we will equate the function to zero. That is y = 0

$\begin{gathered} 0\text{ = }\frac{-1}{2}x^2\text{ - }\frac{3}{2}x\text{ + 2} \\ mu\text{ltiply through by 2:} \\ 0=-x^2\text{ - 3x + 4} \\ x^2\text{ + 3x - 4 = 0} \\ x^2\text{ - x + 4x - 4 = 0} \\ x(x\text{- 1) +4(x - 1) = 0} \\ (x\text{ + 4)(x - 1) = 0} \\ x+4\text{ = 0 or x - 1 = 0} \\ x\text{ = -4 or x = 1} \end{gathered}$

x intercepts are x = -4 and x = 1

This means the line will cross the x axis at two points: x = -4 and x = 1

To get y-intercept, we will equate x to zero:

$\begin{gathered} \text{y = }\frac{-1}{2}(0)^2\text{ - }\frac{3}{2}(0)\text{ + 2} \\ y\text{ = 0 - 0 + 2} \\ y\text{ = 2} \end{gathered}$

y-intercept = 2

This means the line will cross the y axis at y = 2

The correct graph is fourth option

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1 year ago