The equation shown below involves a perfect square trinomial. 4x2 + 20x + 25 = 7 Which of the following is a step in solving this equation? A. Take the square root of both sides B. Subtract 25 from both sides C. Square both sides D. Divide both sides by 4

Answers

Answer 1

Answer: 4 x^2 + 20 x + 25 = 7
Divide both sides by 4:
x^2 + 5 x + 25/4 = 7/4
Write the left-hand side as a square:
(x + 5/2)^2 = 7/4
Take the square root of both sides:
x + 5/2 = sqrt(7)/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
x = sqrt(7)/2 - 5/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
Answer: x = sqrt(7)/2 - 5/2 or x = -5/2 - sqrt(7)/2

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Six more than three times a number is less than or equal to 96.

Answers

3x+6≤96
three x plus six is less than or equal to 96.

An item has a listed price of $75. If the sales tax rate is 3%, how much is the sales tax (in dollars)?

Answers

The sales tax for the item is $2.25.

How to solve for the sales tax

To calculate the sales tax amount, you can multiply the listed price by the sales tax rate. Given that the sales tax rate is 3% and the listed price is $75:

Sales tax amount = Listed price * Sales tax rate

Sales tax amount = $75 * 0.03

Sales tax amount = $2.25

The sales tax for the item is $2.25.

Read more on sales tax here brainly.com/question/30109497

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Answer:

Net Price: $ 75.00

+ Sales Tax (3%): $ 2.25

Total Price: $ 77.25

Which of the following are ordered pairs for the equation y = 1/3x + 1?O (1,0) (2,3) (3,6)
O (0,1) (3,2) (6,3)
O (0,1) (1,4)(2,7)
O (1,0) (3,2) (6,3)

Answers

Answer:

The second answer choice; (0,1) (3,2) (6,3) is your answer.

Step-by-step explanation:

I don't know how to explain this but here's a picture of the line; y=1/3x+1

I hope this helps! :)

A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the number of adults. The number of female students was half the number of male students. If the total number of people who went on the trip is 82, find the numbers of male students and female students.

Answers

Given:
adults = x
male = 7x + 1
female = (7x + 1)/2
total number of people = 82

x + (7x + 1) + [(7x +1)/2] = 82
2x/2 + (14x + 2)/2 + (7x + 1)/2 = 82
2x + 14x + 2 + 7x + 1 = 82 * 2
23x + 3 = 164
23x = 164 - 3
23x = 161
x = 161/23
x = 7

adults = x = 7
males = 7x + 1 = 7(7) + 1 = 49 + 1 = 50
females = (7x+1)/2 = 50/2 = 25

7 + 50 + 25 = 82

Answer:

50 males, 25 females

Step-by-step explanation:

How to do a word phrase 2(5-n)

Answers

twice the difference of 5 and n.

What is 2% of $230,000

Answers

if you set it up to cross multiply you do 230,000*2=460,000

then you divide by 100 and get your answer of 4600$

2% of 230000
we make the 2% to deckmal
.02 * 230000
=4600

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