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lara [203]
3 years ago
10

Solve each system of equations using substitution Y=2x+3 5x-2y=-6

Mathematics
1 answer:
olchik [2.2K]3 years ago
6 0
5x-2(2x+3)=-6
-2*2x=-4x
-2*3=-6
5x-4x-6=-6
5x-4x=x
x-6=-6
x=6-6
x=0
Replace x with 0 in one of the above equations
y=2(0)+3
2*0=0
y=0+3
y=3

Answers
x=0
y=3
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(2 + 3i) + (3 – 4i)<br><br> (3 – 5i) – (–2 – i)<br><br> (2 − 4i)(1+ 3i) <br><br> 2i(−1+ 3i)
grandymaker [24]

Answer:

See below ~

Step-by-step explanation:

<u>Question 1</u>

  • (2 + 3i) + (3 - 4i)
  • <u>5 - i</u>

<u>Question 2</u>

  • (3 – 5i) – (–2 – i)
  • 3 - 5i + 2 + i
  • <u>5 - 4i</u>

<u>Question 3</u>

  • (2 − 4i)(1+ 3i)
  • 2 - 4i + 6i - 12i²
  • <u>14 + 2i</u>

<u>Question 4</u>

  • 2i(-1 + 3i)
  • -2i + 6i²
  • <u>-6 - 2i</u>
6 0
2 years ago
population growth problem: the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what
VikaD [51]
We know that in 2020 the population of deer will be 900,000 based on the given numbers. In another 5 years the population will be over 1 million (1,350,000) in order to calculate when it will reach 1 million we need to see how much growth is gained per year. I believe to obtain that information we will need to divide 450,000 by 5 that equals 90,000 a year. So if I’m 2020 the population of deer will be 900,000 than add 90,000 until you reach your 1 million marker. In this case 2021 would be 990,000 thousand so 2022 would be 1,080,000. So your answer should be year 2022. Hope that helps.
8 0
2 years ago
Can someone help me im confused....PLZZZZ
lilavasa [31]

Answer:

see explanation

Step-by-step explanation:

The perimeter (P) of a rectangle is calculated as

P = 2l + 2w ( l is the length and w the width )

perimeter of rectangle A = 2(7) + 2(5) = 14 + 10 = 24 in

perimeter of rectangle B = 2(4x - 3) + 2x = 8x - 6 + 2x = 10x - 6 in

Equating the two gives

10x - 6 = 24 ( add 6 to both sides )

10x = 30 ( divide both sides by 10 )

x = 3

Thus

length of rectangle B = 4x - 3 = 4(3) - 3 = 12 - 3 = 9 in

Width of rectangle B = x = 3 in

5 0
3 years ago
Angie has to fill in a reading log for her English class. She is required to read a total of 10 and 5 over six hours a week. On
JulijaS [17]

Given:

She is required to read a total = 10\dfrac{5}{6} hours a week.

Monday she read 1\dfrac{1}{3} hours.

Tuesday she read \dfrac{3}{4} of an hour.

Thursday she read 3 hours.

To find:

The total hours does she still need to read in order to get full credit.

Solution:

Total time = 10\dfrac{5}{6} hours a week.

Total time she already read =1\dfrac{1}{3}+\dfrac{3}{4}+3 hours

                                              =\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3 hours

                                              =\dfrac{4}{3}+\dfrac{3}{4}+3 hours

                                              =\dfrac{16+9+36}{12} hours

                                              =\dfrac{61}{12} hours

Now,

Remaining time = Total time - Total time she already read

                         =10\dfrac{5}{6}-\dfrac{61}{12}

                         =\dfrac{65}{6}-\dfrac{61}{12}

                         =\dfrac{130-61}{12}

                         =\dfrac{69}{12}

                         =\dfrac{23}{4}

                         =5\dfrac{3}{4}

Therefore, the required time is  5\dfrac{3}{4} hours.

8 0
3 years ago
Lin runs 5 laps around a track in 6 minutes.
egoroff_w [7]

it would be a ratio5:6

Step-by-step explanation:

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