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2 years ago

What graph best represents the solution to the equality y - 2x > -8

Mathematics

1 answer:

Ne4ueva [31]2 years ago

6 0

Answer:

<h2>In the attachment</h2>

Step-by-step explanation:

$y-2x>-8\qquad\text{add}\ 2x\ \text{to both sides}\\\\y>2x-8\\-------------------------\\\\-\ dotted\ line\\\leq,\ \geq-\ solid\ line\\,\ \geq-\ shading\ above\ the\ line\\-------------------------\\\\y=2x-8-\text{It's a linear function.}\\\text{We only need two points to draw a graph.}\\\text{Choice two arbitrary values of x, substitute to the equation,}\\\text{and calculate the values of y}.\\\\for\ x=4\to y=2(4)-8=8-8=0\to A(4,\ 0)\\for\ x=0\to y=2(0)-8=0-8=-8\to B(0,\ -8)$

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What is $0.75 of $16.40

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Answer:

4.5732 %

Step-by-step explanation:

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2 years ago

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Consider −75/3. Which TWO statements are correct?

kiruha [24]

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Lelechka [254]

Given the next quadratic function:

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to sketch its graph, first, we need to find its vertex. The x-coordinate of the vertex is found as follows:

$x_V=\frac{-b}{2a}$

where <em>a</em> and <em>b</em> are the first two coefficients of the quadratic function. Substituting with a = 2 and b = 3, we get:

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The y-coordinate of the vertex is found by substituting the x-coordinate in the quadratic function, as follows:

$\begin{gathered} y_V=2x^2_V+3x_V-2 \\ y_V=2\cdot(-\frac{3}{4})^2+3\cdot(-\frac{3}{4})-2 \\ y_V=2\cdot\frac{9}{16}+3\cdot(-\frac{3}{4})-2 \\ y_V=\frac{9}{8}-\frac{9}{4}-2 \\ y_V=-\frac{25}{8}=-3.125 \end{gathered}$

The factorization indicates that the curve crosses the x-axis at the points (-2, 0) and (1/2, 0). We also know that the curve crosses the y-axis at (0,-2). Connecting these points and the vertex (-0.75, -3.125) with a U-shaped curve, we get:

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1 year ago

I WILL AWARD BRAINLIEST!! PLEASE HELP!!!<br> Find the areas of the trapezoids.

Galina-37 [17]

Answer:

A = 12 units ^2

Step-by-step explanation:

The area of the trapezoid is found by

A = 1/2 (b1+b2)h

b1 = 2

b2 = 4

h = 4

I found these by looking at the graph

A = 1/2(2+4) 4

A = 1/2(6*4)

A = 12 units ^2

8 0

2 years ago