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gogolik [260]
3 years ago
13

Solve each absolute value inequality. Graph the solutions on a number line. |x-7|>1

Mathematics
1 answer:
N76 [4]3 years ago
8 0

Answer:

x>8 and x<6

Step-by-step explanation:

well first the values of x-7 have to be greater than 1 or, less than -1

because if x-7=-2  then |-2|=2>1  satisfying the equation

so we have

x-7>1\\\\x-7+7>1+7\\\\x>8

and we have

x-7

to graph it it goes from (-∞,6)∪(8,∞)

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Kathy goes to a Halloween store that is closing for the season, so everything is 60% off of the original price.
julsineya [31]

Answer:D

Step-by-step explanation:

7 0
2 years ago
100 points gor correct answer Identify the base of a triangle in which h=(3x+15) ft and A=(15x+75) ft^2.
ivolga24 [154]

Answer:

b = 10

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \frac{1}{2} bh ( b is the base and h the height )

Here h = 3x + 15 and A = 15x + 75, thus

\frac{1}{2} × b × (3x + 15) = 15x + 75

Multiply both sides by 2 to clear the fraction

b(3x + 15) = 30x + 150

Divide both sides by (3x + 15)

b = \frac{30x+150}{3x+15} ← factor numerator and denominator

  = \frac{30(x + 5)}{3(x+5)} ← cancel the factor (x + 5) on numerator/denominator

  = \frac{30}{3}

  = 10

7 0
2 years ago
Read 2 more answers
Esteban finds 12 baseball cards on Monday and 24 more baseball cards on Tuesday he gives some baseball cards to his sister and n
sdas [7]

Answer:

Number of cards given to sister = 35 card

Step-by-step explanation:

Find baseball card on Monday = 12

Find baseball card on Tuesday = 12 + 24 = 36

Remain baseball card = 13

Find:

Number of cards given to sister

Computation:

Number of cards given to sister = Find baseball card on Monday + Find baseball card on Tuesday - Remain baseball card

Number of cards given to sister = 12 + 36 - 13

Number of cards given to sister = 35 card

5 0
2 years ago
Use the function rule to complete the table.<br> -10x+y=4<br><br> X: -2 -1 0 1 2 <br> Y:
harina [27]
Y = 10x + 4
 x                      y
-2  10(-2)+4 = -16
-1  10(-1)+4 = -6
0    10(0)+4 = 4
1    10(1)+4  = 14
2    10(2)+4 = 24
5 0
3 years ago
Which function is the inverse of f (x) = 2x + 8?
tiny-mole [99]

Answer:

f-1(x) = (x-8)/2

Step-by-step explanation:

f(x) = 2x+ 8

y = 2x + 8

replacing y and x

x = 2y + 8

2y = x- 8

y =( x-8)/2

f-1 (x) =( x-8)/2

3 0
3 years ago
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