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Marina CMI [18]
2 years ago
15

4|2x + 5|-7≤9 How would you solve this?

Mathematics
2 answers:
slamgirl [31]2 years ago
5 0
Solate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
−
9
2
≤
x
≤
−
1
2
-
9
2
≤
x
≤
-
1
2
Interval Notation:
[
−
9
2
,
−
1
2
]
ArbitrLikvidat [17]2 years ago
3 0

Answer:

- \frac{9}{2} ≤ x ≤ - \frac{1}{2}

Step-by-step explanation:

inequalities of the type | x | ≤ a , have solutions of the form

- a ≤ x ≤ a , then

4 | 2x + 5 | - 7 ≤ 9 ( add 7 to both sides )

4  | 2x + 5 | ≤ 16 ( divide both sides by 4 )

| 2x + 5 | ≤ 4 , so

- 4 ≤ 2x + 5 ≤ 4 ( subtract 5 from each interval )

- 9 ≤ 2x ≤ - 1 ( divide each interval by 2 )

- \frac{9}{2} ≤ x ≤ - \frac{1}{2}

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By what number should 1 1/2 be divided to get 2/3 ? *
andrew-mc [135]

Answer:

1

Step-by-step explanation:

1) The equation is 1 1/2 ÷ x = 2/3

2) You can multiply 2/3 with 1 1/2 to get your answer

3) 2/3 × 1 1/2 = 1

Hope this helps!

4 0
3 years ago
How many x intercepts appear on the graph of this polynomial function?
MArishka [77]
f (x) = x ^ 4-x ^ 3 + x ^ 2-x 
 For this case what we can do is graph the function and see the behavior of it.
 We have then that the function grows upwards (see attached image)
 It has two cutting points with the x axis in:
 x = 0
 x = 1
 Therefore, the other roots of the polynomial are imaginary.
 Answer:
 2 x intercepts appear on the graph of this polynomial function

8 0
4 years ago
How many ways can a librarian arrange 15 books on a top shelf if she has 20 books from which to pick?
Jlenok [28]
Use the permutation formula
nPr = (n!)/((n-r)!)
20P15 = (20!)/((20-15)!)
20P15 = (20!)/(5!)

The final answer is choice A

8 0
3 years ago
Read 2 more answers
Please help with this question!!
Evgen [1.6K]
Maybe it's the letter D
5 0
3 years ago
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Jimmy and his family are on their way to visit some family friends who live 780 miles away from them based on the route they cho
sesenic [268]
It would take them another 2.5 hours. To solve this you first need to multiply 60 by 4 to get 240. Subtract 240 from 780 to get 540. Then, Multiply 65 by 6 to get 390. Subtract 390 from the remaining 540 to get 150. Divide the final 150 by 60 to get 2.5. this is the remaining time they have to go before they reach their family and friends. 
6 0
3 years ago
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