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Semenov [28]
3 years ago
7

Solves the inequality. Write your final answer in interval notation: -3(2x+1) > -2(x+6)

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0

-3(2x+1) > -2(x+6)

-6x -3 > -2x - 12


-6x -3+6x > -2x - 12+6x


-3>4x-12


-3+12>4x-12+12

9 > 4x

4x<9

x<4/9


(-∞, 4/9)

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NEED ANSWER ASPA.... PLS HURRY
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We have that
y=- x^{2} +36

we know that
Is the equation of a vertical parabola open down
so
the vertex is a maximum

step 1
convert the equation of the parabola in the vertex form
y=- x^{2} +36 \\ y-36=- x^{2}

the vertex (h,k) is the point (0,36)

Part a) The point on the graph where the height of the tunnel is a maximum is (0,36)

Part b) The points on the graph where the height of the tunnel is zero feet is when y=0
so
for y=0
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the points are (-6,0)  and (6,0)

see the attached figure 

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