All categories

1 year ago

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

You might be interested in

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]

I'm not 100% sure if I am right, but for number 9 you would pick two points on , let's just say you pick points (0, 1) and (2, -2). Then you would find those points in the table. So in this case the answer would be D. And I'm not really sure how to explain #10 but you basically work out each problem with the graph to see if it makes sense. For example if you try working out problem F it wouldn't make sense since you start of with 10 dollars and earn 2 each day. But on the graph it shows that you are loosing two. Sorry if I didn't explain it right, if you have more questions let me know!

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:

the answer to your question should be 2,068

Step-by-step explanation:

i hope i am right but i think so

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

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

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

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

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