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poizon [28]
3 years ago
11

Solve the inequality and express your answer in interval notation x^2+8x-7<0

Mathematics
1 answer:
balandron [24]3 years ago
4 0

Answer:

  • (-8.8, 0.8)

Step-by-step explanation:

  • x^2+8x-7<0
  • x^2 + 8x + 16 - 23 < 0
  • (x + 4)^2 < 23
  • |x + 4| < √23 ≈ 4.8

1 .

  • x + 4 < 4.8
  • x < 0.8

2.

  • -(x + 4) < 4.8
  • x + 4 > - 4.8
  • x > - 8.8

<u>Combination of the two intervals:</u>

  • x = (-8.8, 0.8)

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Part A
OLEGan [10]

Part A: The algebraic equation for the situation is 2x - 3 = 5

Part B:  Bob has 4 brand new music CD's

Step-by-step explanation:

Translate the situation into an algebraic equation:

  • Ann has 5 brand new music CD’s, which is 3 less than twice the amount that Bob (x) has
  • Find the value of x (the number of brand new CD's Bob has)

Part A:

∵ Bob has x brand new CD's

∵ Ann has 5 brand new music CD’s, which is 3 less than twice

  the amount that Bob has

- That means multiply x by 2 and then subtract 3 from the product

  and equate the answer by 5

∵ Twice x 2x

∵ 3 less than twice x = 2x - 3

∴ 2x - 3 = 5

The algebraic equation for the situation is 2x - 3 = 5

Part B:

Let us solve the equation to find the value of x

∵ 2x - 3 = 5

- Add 3 to both sides

∴ 2x = 8

- Divide both sides by 2

∴ x = 4

Bob has 4 brand new music CD's

Learn more:

You can learn more about the algebraic expressions in brainly.com/question/1600376

#LearnwithBrainly

5 0
3 years ago
Solve each of the following:<br><br> x/24=7/16<br><br><br> 4/9=x/12
konstantin123 [22]
I would suggest you to use quickmath it helps a lot.
3 0
3 years ago
Read 2 more answers
1. A fast food outlet claims that the mean waiting time in line is less than 3.8 minutes. A random sample of 60 customers has a
kolezko [41]

Answer:

There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes

Step-by-step explanation:

H0 : μ = 3.8

H1 : μ < 3.8

Test statistic :

(x - μ) ÷ s/sqrt(n)

(3.7 - 3.8) ÷ 0.6/sqrt(60)

Test statistic = - 1.29

The Pvalue from test statistic :

P(z < -1.29) = 0.0985

Reject Null if

Pvalue < α

0.0986 > 0.01 ; Hence, we fail to reject the null ;

There is no significant evidence to conclude that the mean waiting time is less than 3.8 minutes

7 0
3 years ago
Lea walked 12 miles in 13 hours.
UNO [17]
So 12 miles in 13 house
Then 1 miles is 13/12
so 214 miles is 13/12 × 214 = 231.8
6 0
3 years ago
Read 2 more answers
Create a histogram with five intervals from this data set: 21, 37, 56, 87, 32, 45, 77, 71, 65, 67, 21, 34
dusya [7]

Answer:

The histogram and data are shown in the figures below



5 0
4 years ago
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