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Umnica [9.8K]
2 years ago
4

Find the solution set of the inequality. \qquad16x - 7 \leq -7116x−7≤−71

Mathematics
2 answers:
postnew [5]2 years ago
5 0

Answer:

<em />x \le -4<em />

<em />

Step-by-step explanation:

Given

\qquad16x - 7 \leq -71

Required

Solve

Start by adding 7 to both sides

\qquad16x - 7 + 7 \leq -71 + 7

\qquad16x - 7 + 7 \leq -64

\qquad16x \leq -64

Divide both sides by 16

\frac{16x}{16} \leq \frac{-64}{16}

\frac{16x}{16} \leq -\frac{64}{16}

x \leq -\frac{64}{16}

<em />x \le -4<em> --- The solution</em>

kotykmax [81]2 years ago
3 0

Answer:

x <u>< </u>-4

I did this on khan academy

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Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three
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Answer:

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Step-by-step explanation:

we have

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The vertex is the origin (0,0)

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This is a vertical parabola open downward

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The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

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g(x)=-5(x^{2}-20x+100)-450+500

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so

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(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

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