MATHEMATICS HIGH SCHOOL

Which shows 60^2 − 40^2 being evaluated using the difference of squares method?A. 60^2 − 40^2 = (3600 + 1600)(3600 − 1600) = 10,400,000

B. 60^2 − 40^2 = 3600 − 1600 = 2,000

C. 60^2 − 40^2 = (60 − 40)^2 = 20^2 = 400

D. 60^2 − 40^2 = (60 + 40)(60 − 40) = (100)(20) = 2,000

Answers

Answer 1
Answer: The difference of squares method uses the following formula:

a^(2) - b^(2) = (a+b)(a-b)

Answer A has the squares multiplied out, then put into the formula, which is incorrect.

Answer B does not use this formula, as the squares are multiplied out and solved without using this method.

Answer C subtracts in terms of the power, which is completely wrong.

The answer is D.
Answer 2
Answer:

Answer:

D. 60^2 − 40^2 = (60 + 40)(60 − 40) = (100)(20) = 2,000

Step-by-step explanation:

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1 1/3 minus 5/6 please help me out

Answers

Answer:

17/6

So this is the answer. If you want to convert to decimal... The answer will be 2.83..hope it is right

Given the following information, choose the brand that is the better buy.Brand A: $1.25 for 10 ounces
Brand B: $1.47 for 12 ounces
Brand C: $1.68 for 14 ounces
Brand D: $1.84 for 16 ounces

Answers

By using proportions, it is found that the better buy would be d. Brand D: $1.84 for 16 ounces.

What is a proportion?

A proportion is defined as the fraction of a total amount.

In the given problem, the better buy will be given by the lowest ratio of price to ounces.

Hence:

1.25/10 = 0.125

1.47/12 = 0.1225

1.68/14 = 0.12

1.84/16 = 0.115

Hence brand D is the better buy.

More can be learned about proportions;

brainly.com/question/24372153

#SPJ2
The best buy would be Brand D, because you get more for the money you spend. $1.84 for 16 oz of product comes to .115 cents per ounce which is the cheapers per ounce price of the 4 brands.

X^2 + 3x - 18 = 0
Solve using the quadratic formula

Answers

x^2+3x-18=0\n\na=1;\ b=3;\ c=-18\n\n\Delta=b^2-4ac\to\Delta=3^2-4\cdot1\cdot(-18)=9+72=81\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(81)=9\n\nx_1=(-3-9)/(2\cdot1)=(-12)/(2)=-6;\ x_2=(-3+9)/(2\cdot1)=(6)/(2)=3
x+6 and x-3 in which the absolute value would be if a positive 3 and a negative 6

Step by step solve this problem -4=r/20-5

Answers

-4 = (r)/(20) - 5
(r)/(20) - 5 = -4 (Switched sides)
((r)/(20) - 5)20 = (-4)20 (Multiply both sides by 20)
r-100 = -80
r - 100 + 100 = -80 + 100 (Add 100 to each side)
r = 20

Hope this helped :)

What is the next value 1I 2L 3F4

Answers

Answer:

The next value in the given pattern of digits and numbers is:

                      E

Step-by-step explanation:

  • Since, if we see the first pair:

                   1 I

Then we see that the alphabet I requires just one vertical line to get formed.

  •  The next pair is:

                    2 L

Hence, from this we could claim that L is formed with the help of one vertical and one horizontal line.

  •   The next pair is:

                   3 F

Again the alphabet F could be formed with the help of 3 lines one vertical and two horizontal line.

  • Hence, from the above three pairs we may infer that the next pair will be:

                   4 E

because E is formed with the help of four lines 1 vertical and three horizontal lines.

Final answer:

The next term in the sequence is 4U.

Explanation:

The given sequence seems to follow a pattern where the 1st term is the number itself, and the 2nd term is the last letter of the number. The 3rd term is the 1st letter of the next number, and so on.

  1. 1I
  2. 2L
  3. 3F
  4. 4U

Therefore, the next term in the sequence would be 4U.

Learn more about sequence here:

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Hugh has to earn at least $400 to meet his fundraising goal. He has only 100 books that he plans to sell at $8 each. Which inequality shows the number of books, x, Hugh can sell to meet his goal?

Answers

If you would like to find the inequality that shows the number of books Hugh can sell to meet his goal, you can do this using the following steps:

x = ? ... the number of books
$8 * x >= $400
8 * x >= 400
x >= 400 / 8
x >= 50 books

The correct result would be: $8 * x >= $400. 

Answer:

50 ≤ x ≤ 100

Step-by-step explanation:
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