MATHEMATICS HIGH SCHOOL

Find the product.(7x - 6)2
A. 49x2 + 36
B. 49x2 - 84x + 36
C. 7x2 - 84x + 36
D. 7x2 + 36

Answers

Answer 1
Answer: When we square brackets, it is always advised to write out the brackets fully.
(7x - 6)² becomes
(7x - 6)(7x - 6)

Next, we follow FOIL
First (The first term in the set 1 multiplied by the first term in set 2)
Outer (The first term in set 1 multiplied by the second term in set 2)
Inner (The second term in set 1 multiplied by the first term in set 2)
Last (The second term in set 1 multiplied by the second term in set 2)

F   7x  x  7x = 49x²
O  7x  x  -6  = -42x
I    -6  x  7x  = -42x
L   -6  x  -6  = 36

Now, we add together all the terms

49x² + -42x + -42x +36

Adding a negative is the same as subtracting

49x² - 42x - 42x + 36

Finally, simplify (add together the like terms)

49x² -84x + 36
Answer 2
Answer:

Answer:

Option B: 49x² -84x + 36

Step-by-step explanation:

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Carl's Candies has determined that a candy bar measuring 3 inches long has a z-score of +1 and a candy bar measuring 3.75 inches long has a z-score of +2. What is the standard deviation of the length of candy bars produced at Carl's Candies?

Answers

Answer:

0.75 inches

Step-by-step explanation:

The value that has z=2 is 2 standard deviations from the mean. The value that has z=1 is 1 standard deviation from the mean. The difference between these two values is 1 standard deviation:

1 standard deviation = 3.75 in - 3 in = 0.75 in

Answer:

0.75

Step-by-step explanation:

Solve the conjunction and describe the solution set. -5 ≤ 3m + 1 < 4

A: m ≥ -2 and m < 1
B: m ≤ -2 or m > 1
C m ≥ -4/3 and m < 5/3
D: m ≥ - 4/3 or m < 5/3

Answers

 -5 ≤ 3m + 1 < 4
- 1           - 1  - 1
 -6 ≤ 3m < 3
  3      3     3
 -2 ≤ m < 1

Solution Set: {m|-2 ≤ m < 1}, {m|m ≥ -2 and m < 1}, [-2, 1)

The answer is A.

Final answer:

The solution to the conjunction -5 ≤ 3m + 1 < 4 is m ≥ -2 and m < 1.

Explanation:

To solve the conjunction -5 ≤ 3m + 1 < 4, we need to solve the two inequalities separately. Starting with the left inequality: -5 ≤ 3m + 1. We subtract 1 from both sides: -6 ≤ 3m. Dividing both sides by 3, we get: -2 ≤ m. Next, we solve the right inequality: 3m + 1 < 4. We subtract 1 from both sides: 3m < 3. Dividing both sides by 3, we get: m < 1. Therefore, the solution to the conjunction is m ≥ -2 and m < 1. This means that m is greater than or equal to -2, but less than 1.

Learn more about Solving inequalities here:

brainly.com/question/26855203

#SPJ2

The sum of a number is 17 and their difference is 3 find the number​

Answers

Answer: 14

Step-by-step explanation:

Compare the underlined numbers using ">,< or =". 841

Answers

8>4 because eight is more than four and 4>1 so the answer is simply 8>4>1

Determine which of these does NOT illustrate two quantities that combine to make 0.A) Jane collects 12 seashells and then loses 12.
B) Sharon lost 8 pounds and then gained 10 pounds.
C) A business's profit if its income is equal to its expenses.
D) Frank wins five dollars and pays back a $5 debt to a friend.

Answers

B) Sharon lost 8 pounds and then gained 10 pounds.

A) 12-12=0

B) -8+10=2

C) Profit=Income-Expenses

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A student factors 3x2 – 12 to the following. 3(x2 – 4) Which statement about 3(x2 – 4) is true? A. The expression is equivalent, and it is completely factored. / B.The expression is equivalent, but it is not completely factored./ C. The expression is not equivalent, but it is completely factored./ D.The expression is not equivalent, and it is not completely factored.

Answers

Answer:

Option B is correct that is the expression is equivalent, but it is not completely  factored.

Step-by-step explanation:

We have given an expression

3x^2-12

when we take the common factor out which is 3 from the expression we will get

3(x^2-4)

This expression is equivalent but is not completely factored because the term

(x^2-4)\text{can be further factored as}(x-2)\text{and}(x+2)\text{from the formula}a^2-b^2=(a+b)(a-b)

Hence, Option B is correct.

Option C and D are discarded because given factor is equivalent  

Option A is discarded  because expression is not completely factored.

 

B. The expression is equivalent but not completely factored.

You can continue to factor

3 (x^2-4) =

3 (x+2)(x-2)
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