The square of one number is 23 less than the square of a second number. If the second number is 1 more than the first, what are the two numbers?If x represents the smaller number, then which of the following quadratic equations represents the word problem?

a. x² + 23 = x² + 2x + 1
b. (x + 23)² = x² + 2x + 1
c. x² + 23 = x² + 1

Answers

Answer 1
Answer: the correct answer is a
(X+1)^2 - x^2=23
X^2 + 2x + 1 -x^2 =23
2x +1 =23
2x =22
X= 11

X+1= 12
Answer 2
Answer: yeah I think I had the test and A is right

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Gary earned a gross pay of $1,047.30 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amount of Social Security tax deducted from Gary’s gross pay.

Answers

SS tax is 6.2% of 1,047.30

In math "of" means times, so

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Rounded to the nearest cent $64.93

A fish lays brown eggs or white eggs and it likes to lay them in a certain pattern. Each brown egg is surrounded by 6 white eggs. Here there are 3 brown eggs and 14 white eggs.(a) How many eggs does it lay altogether if it lays 200 brown eggs?
(b) How many eggs does it lay altogether if it lays n brown eggs?

Answers

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I want to know the answer for the above question.

2^2 x 3^3 x 4^5/ 2 x 3 x 4^5
Please explain

Answers

Answer:

18

Step-by-step explanation:

Hi there !

2² x 3³ x 4⁵/ 2 x 3 x 4⁵ =

simplify 2 ; 3 ; 4⁵

= 2ₓ3²/1

= 2ₓ9

= 18

Good luck !

Resuelve las siguientes ecuaciones en tu cuaderno y realiza la comprobación decada una.

3x 2 + 12 x = 0


Me ayudan :u y si no saben mejor ni comenten:)

Answers

3x + 2 + 12x = 0
15x + 2 = 0
15x + 2 - 2 = 0 - 2
15x = -2
15x/15 = -2/15
X = -2/15
I hope that answers your question

X = -3 + 5y - 6 for y

Answers

Answer:

y = 1/5x + 9/5.

Step-by-step explanation:

x = -3 + 5y - 6

5y - 3 - 6 = x

5y - 9  = x

5y = x + 9

y = 1/5x + 9/5.

Hope this helps!

How do I complete each pattern, Example 1 block, 3 blocks,6 blocks

Answers

Well,

This could be an arithmetic sequence.
1 + 2 = 3
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
15 + 6 = 21
...

This could also be a geometric sequence.
1*3=3
3*2=6
6*1=6
6*0=0
0*-1=0
0*(anything)=0
...