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3 years ago

If 5<2x+3<11, what is the possible range of value of -4x-6

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

4 0

Answer:

-10 > (-4x - 6) > -22

Step-by-step explanation:

Given inequality is 5 < 2x + 3 < 11

Now we will multiply this inequality by (-2) resulting,

5(-2) > (2x + 3)(-2) > 11(-2)

-10 > (-4x - 6) > -22 (Sign of inequality gets reversed when the inequality is multiplied or divided by a negative number)

Therefore, the possible range of (-4x - 6) is between -22 and -10.

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Determine the value of a if one solution to the quadratic equation is x equals 5 + 3/2 I

Sindrei [870]

The value of a is $\frac{-9}{4}$

Step-by-step explanation:

1. Determine the other solution of x

If one value is 5 + $\frac{3}{2}$ then the other value is 5 - $\frac{3}{2}$

2. Use reverse technique to find the equation

(5 + $\frac{3}{2}$ ) (5 - $\frac{3}{2}$ ) = 0

25 - $\frac{-15}{2}$ + $\frac{15}{2}$ - $\frac{9x^{2} }{4}$ = 0

- $\frac{9x^{2} }{4}$ + 25 = 0

3. The equation is - $\frac{9x^{2} }{4}$ + 25 = 0

4. Find the value of a

a is the number with the variable $x^{2}$ therefore it is - $\frac{9}{4}$

Keyword: quadratic equation, solution

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3 years ago

Morgan earned $70.00 at her job when she worked for 4 hours. How much money did she earn each hour?

Mila [183]

Answer:

divide the 70.00 by the four hours

Step-by-step explanation:

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2 years ago

leah would like to earn at least $160 per month. She works at a restaurant for $5 an hour and works at an ice cream shop for $8

Ne4ueva [31]

Answer:

Leah can make more than $160 in a month if he works 7 hours for $35 and 10 hours for $80 daily or weekly.

Step-by-step explanation:

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3 years ago

Kareem and Marco went to the mall. Kareem spent $8 less than Marco spent at the mall. Kareem spent more than $15. Write an inequ

mestny [16]

Marco spent more than $23. M > 23

We know the Kareem spent 8 less than Marco and that Kareem spent more than 15. If we add 8 onto the 15, we know that Marco has to be more than 23.

To graph this, draw an open circle at 23 and have an arrow going to the right.

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3 years ago

F(x) = 6x+2, find f (x+3)

nikklg [1K]

Answer:

6x+20

Step-by-step explanation:

F(x) = 6x+2

f(x+3) means replace x with x+3

F(x+3) = 6(x+3)+2

= 6x+18+2

= 6x+20

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2 years ago

Read 2 more answers