MATHEMATICS HIGH SCHOOL

Simplify 5(x - 6).

-x
5x - 6
5x - 30

Answers

Answer 1
Answer: 5x-30

When multiplying a term (either constant or variable) by a quantity in parentheses, we multiply each term inside the parentheses by that term. So 5 times x minus 5 times 6.

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Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = 1.Which product should Tomas choose?

(2x + 1)(2x2 + 2x – 1)
(2x + 1)(4x3 + 2x – 1)
(2x + 1)(4x2 – 2x + 1)
(2x + 1)(2x2 – 2x + 1)

Answers

This is a simple substitution problem. Clearly the answer here is (2x + 1)(4x2 – 2x + 1). We just have to replace a with 2x and b with 1. The tricky part here is the first term in the second group of terms. 2x is to be squared. Common mistake here is raising the x with 2 and not including the coefficient. 

The product that Tomas should choose given that the pattern resulted in a sum of cube is (2x + 1)(4x² – 2x + 1)

Data obtained from the question

  • Polynomial => (a + b)(a² – ab + b²)
  • a = 2x
  • b = 1
  • Product =?

How to determine the product

(a + b)(a² – ab + b²)

But

a = 2x

b = 1

Substituting the value of a and b, we have

(a + b)(a² – ab + b²)

(2x + 1)[(2x)² – (2x × 1) + 1²]

(2x + 1)(4x² – 2x + 1)

Thus, the product that Tomas should choose is (2x + 1)(4x² – 2x + 1)

Learn more about polynomial:

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Can someone these questions

Answers

9.

( 5 / 8 ) * ( 2 / 3 ) = 10 / 24 = 5 / 12  A ;

10.

( 11 / 12 ) ÷ ( 5 / 7 ) = ( 11 / 12 ) * ( 7 / 5 ) = 77 / 60 = 1 17 / 60 D ;
 
11.

3 / 8  B;

12.

2 5 / 8 = 21 / 8 ; the reciprocical of 21 / 8 is 8 / 21 C ;

13.

$12.50 * 34.5 =$ 431.25  C ;

Which is greater, 4 or 126?

Answers

Answer:

126

Step-by-step explanation:

4 is less than 126 so 126 > 4

Tim mows neighborhood lawns for extra money. Suppose that he would be willing to mow one lawn for ​$12​, a second lawn for ​$16​, and a third lawn for ​$22. Also suppose that three neighbors are interested in having their lawns mowed. Mrs. Jones would be willing to pay ​$35 to have her lawn​ mowed, Mr. Wilson would be willing to pay ​$27​, and Ms. Smith would be willing to pay ​$22.

Answers

And it is 4,192thats is what my bro said

Question 12 of 22What is sin 60°?
O A.
OB.
O C. 1
O D.
2
1
-
√2
OE 1/1/20
OF. √3

Answers