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Svetlanka [38]
3 years ago
14

Choose the correct absolute value inequality and graph for the solution -1.2≤x≤2

Mathematics
1 answer:
evablogger [386]3 years ago
5 0

Answer:

\large\boxed{|5x-2|\leq8}

Step-by-step explanation:

-1.2\leq x\leq2\qquad\text{multiply all sides by 5}\\\\-6\leq5x\leq10\qquad\text{subtract 2 from both sides}\\\\-8\leq5x-2\leq8\iff|5x-2|\leq8

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The height y (in feet) of a ball thrown by a child is
KengaRu [80]
I will assume you mistyped this question. For y = -1/16x^2 + 4x + 3, the answers to this question are
a) 3 feet
b) 67 feet
c) 64.741 feet

For a) we note that at x = 0, that is the instant where the ball leaves the hand. y(0) = 0.

For b), we find the vertex of y = -1/16x^2 + 4x + 3
                               y = -1/16x^2 + 4x + 3
                               y = -1/16(x^2 - 64x) + 3
                               y = -1/16(x^2 - 64x + 1024 - 1024) + 3
                               y = -1/16((x-32)^2 - 1024) + 3
                               y = -1/16(x-32)^2 + 64 + 3
                               y = -1/16(x-32)^2 + 67
The vertex is at (32,67) so 67 is the maximum height.

For c), we find the x-intercepts with the quadratic formula on
y = -1/16x^2 + 4x + 3=0:
                     x = [ -b ± √b^2 - 4ac ] / (2a)<span>
                     x = [ -4 ± √4^2 - 4(-1/16)(3) ] / (2(-1/16))   
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Only the positive solution, so 64.741 feet         </span>

3 0
3 years ago
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Taking the absolute value of a number is the same thing as taking the opposite of the number. - true or false
Dovator [93]

Answer:True

Step-by-step explanation:

3 0
3 years ago
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Find x value for the point that splits segment co in halt point c is located at 4) and point D is located at (3,7)
VLD [36.1K]
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mp=((-2+3)/2, (4+7)/2)

mp=(1/2, 11/2)

mp=(0.5, 5.5)

So the x-coordinate by itself is just 0.5, or answer c.
8 0
3 years ago
HELP PLEASE WHICH ONE IS CORRECT?
r-ruslan [8.4K]

I got chu UwU, the answer is B cause it is smaller

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X-30% is 12. What is X?
skad [1K]
If i'm not wrong,i think the answer is:

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3 years ago
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