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Ksivusya [100]
3 years ago
13

What equation is the inverse of 5y+4=(x+3)2+1/2

Mathematics
1 answer:
Murljashka [212]3 years ago
7 0
Start off by "switching" the variables

\bf 5\boxed{y}+4=(\boxed{x}+3)^2+\cfrac{1}{2}\qquad inverse\implies 5\boxed{x}+4=(\boxed{y}+3)^2+\cfrac{1}{2}

then solve for "y"
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1.
Harlamova29_29 [7]

Answer:

a) x = 1

Step-by-step explanation:

Given: 2x + 3 = 5

1. Subtract 3 from both sides:

2x + 3 - 3 = 5 - 3

⟹ 2x = 2

2. Divide both sides by 2:

2x ÷ 2 = 2 ÷ 2

⟹ x = 1

3. Check your work:

2(1) + 3 = 5

2 + 3 = 5

⟹ 5 = 5 ✔

Learn more about solving algebraic equations here:

brainly.com/question/27597890

brainly.com/question/25229258

8 0
2 years ago
One side of the flower garden is 3 times as great as the other. What are the dimensions of the flower garden? The area of the ga
Alekssandra [29.7K]
The flower garden is 4 feet by 12 feet. 4(12)= 48. or 48/4=12
6 0
3 years ago
Read 2 more answers
Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location. If Har
AlexFokin [52]

Answer:

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. We know that 1 yard is 36 inches, therefore, 50 yards expressed in inches is:

<u> (50)(36)=1800in</u>

2. If he is 50 yards from school and the map shows that the school is 34 inches from his current location, when it shows 3 inches the real distance is:

<u> (1800)(3in)/24in=158.82</u>

3. If you can to express it in yards:

<u> 158.82/36=4.41yd</u>

<h2><u>Therefore, the answer is: 158.82 inches or 4.41 yards.</u></h2>
4 0
2 years ago
Read the word problem below. Jill had $90. She bought a skirt that normally costs $42 but was on sale for half price. She also b
Likurg_2 [28]

Answer:

What was the regular price of the T-shirt?

  • $18

What question is being asked in this word problem?

  • what is the regular cost of the t-shirt purchased by Jill.

What is the regular price of the skirt?

  • $42

How much money does Jill have left?

  • without considering sales tax, Jill has $90 - $31 = $59 left.
  • If I use the sales tax from where I live, the sales tax = $1.86, so the money that Jill will have left = $59 - $1.86 = $57.14

How much does the T-shirt normally cost?

  • $18 (same as question 1)

What is the amount Jill pays in sales tax?

  • since you do not include the sales tax % in the question, I will simply use the sales tax from where I live = $31 x 6% = $1.86

Step-by-step explanation:

skirt $21

t-shirt = p - $8

before sales tax, total cost was $31

$21 + p - $8 = $31

p = $18

7 0
3 years ago
Robert plans to make a box-and-whisker plot of the following set of data.
Lunna [17]

Answer:

lower quartile: 18; median: 27; upper quartile: 38

Step-by-step explanation:

The given set of data is

27, 14, 46, 38, 32, 18, 21

Arrange this set of data in numeric order

14,18,21,27,32,38,46

The given set of data has 7 numbers which is odd.

Median in the middle value. The middle value of the data is fourth value which is 27.

Hence, median = 27

Now, the first half of the set of data is

14,18,21

Middle value = 18

Hence, lower quartile = 18

The second half is 32,38,46

Middle value = 38

Hence, uper quartile = 38

Thus, the correct option is

lower quartile: 18; median: 27; upper quartile: 38



4 0
2 years ago
Read 2 more answers
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