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frosja888 [35]
1 year ago
15

Write each of the following expressions without using absolute value. |z−7|−|z−9|, if z<7

Mathematics
1 answer:
Katen [24]1 year ago
3 0

Answer:

-2

Step-by-step explanation:

z - 7 ≥ 0

z ≥ 7

| z - 7 | = z - 7, z ≥ 7

| z - 7 | = -z + 7, z < 7

z - 9 ≥ 0

z ≥ 9

| z - 9 | = z - 9, z ≥ 9

| z - 9 | = -z + 9, z < 9

| z - 7 | = -z + 7

| z - 9 | = -z + 9

|z - 7| - |z - 9|

-z + 7 - (-z + 9)

-z + 7 + z - 9

= -2

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Factor −1/4 out of −1/2x−5/4y..ㅤ
hammer [34]

Answer:

  • - 1/4 (2x + 5y)

Step-by-step explanation:

Divide each term by - 1/4 first

  • -1/2x ÷ (- 1/4) = 1/2x × 4 = 2x
  • -5/4y ÷ (- 1/4) = 5/4y × 4 = 5y

Now facor out - 1/4

  • - 1/2x - 5/4y =
  • - 1/4 (2x + 5y)
3 0
2 years ago
Thank you for the help! I would appreciate it if someone could explain this content to me. I need help on both of them. I wish t
maksim [4K]
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5 0
2 years ago
How many ways can a president, vice president, and secretary be selected from a class of 30 students? a. 90 b. 2,068 c. 4,060 d.
Ad libitum [116K]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
Michael and Lindsey are saving money. Michael begins with $20 and saves $5 per week. Lindsey begins with no money, but saves $10
True [87]
Let
x----------> number of weeks
y----------> saved money

we now that

<span>Michael begins with $20 and saves $5 per week
so
y=20+5x------> equation 1

and
</span><span>Lindsey begins with no money, but saves $10 per week
</span><span>y=10x-------> equation 2

</span><span>the number of weeks it will take for Lindsey and Michael to save the same amount of money is when equation 1 is equals to equation 2
</span>
therefore
20+5x=10x------> 10x-5x=20------> 5x=20-----> x=20/5-----> x=4 weeks

the answer is 
4 weeks
3 0
2 years ago
Running at a constant​ rate, austin run 18 miles in a time of 180 minutes. How many minutes does it take austin to run ​ 6 miles
tia_tia [17]

Answer:

60 minutes

Step-by-step explanation:

to find this, we will first determine how long it takes austin to run one mile.

18 miles / 180 minutes

1 mile / 10 minutes

it takes austin to run 10 minutes to run 1 mile

now, we will multiply the number of minutes it takes by 6 to find how long it takes austin to run 6 miles.

1 mile / 10 minutes

6 miles / 60 minutes

it takes austin 60 minutes to run 6 miles

8 0
2 years ago
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