The answer to the question is 7.
Answer:
-2<x<9
Step-by-step explanation:
−21<−3x+6<12-21<-3x+6<12
Move all terms not containing xx from the center section of the inequality.
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−27<−3x<6-27<-3x<6
Divide each term in the inequality by −3-3.
−27−3>−3x−3>6−3-27-3>-3x-3>6-3
Divide −27-27 by −3-3.
9>−3x−3>6−39>-3x-3>6-3
Cancel the common factor of −3-3.
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9>x>6−39>x>6-3
Divide 66 by −3-3.
9>x>−29>x>-2
Rewrite the interval so that the left value is less than the right value. This is the correct way to write an interval solution.
−2<x<9-2<x<9
The result can be shown in multiple forms.
Inequality Form:
−2<x<9-2<x<9
Interval Notation:
(−2,9)
Answer:
70%
Step-by-step explanation:
Two Steps to Convert a Fraction to a Percent
Use division to convert the fraction to a decimal:
7/10 = 7 ÷ 10 = 0.7
Multiply by 100 to get the percent value:
0.7 × 100 = 70%
Therefore the answer is 70%.
Answer:
k = -2
Step-by-step explanation:
2 way to solve:
1st: 8x²-13x-4k = 8(x²-(13/8)x-(k/2))
if 2 roots: a and 1/a
8(x-a)(x-1/a) = 8(x²-(13/8)x-(k/2))
x²-(a+1/a)x+1 = x²-(13/8)x-(k/2)
1 = -(k/2)
<u>k = -2</u>
<u>2nd:</u> 2 roots of 8x²-13x-4k x=(-b±√b²-4ac)/2a
x = (13±√169-4*8*(-4k))/16 = (13±√169+128k)/16
(13+(√169+128k))/16 = 16/ (13-(√169+128k)) ... root1=1/root2
(13+(√169+128k))*(13-(√169+128k)) = 16*16
13² - (√169+128k)² = 256
169-169-128k = 256
-128k = 256
k = -2
