For all x, (3x + 7)² = ?A. 6x + 14
B. 6x² + 14
C. 9x² + 49
D. 9x² + 21x + 49
E. 9x² + 42x + 49
Can anyone explain how to make it step by step?

Answers

Answer 1

Answer: When u see square that means u have to multiply the number by it self.
( 3x + 7 ) * ( 3x + 7 )
3x * 3x = 9x^2
3x * 7 = 21x
7 * 3x = 21x
7 * 7= 49
Now u have 9x^2 + 21x + 21x + 49
Now u have to combine like terms meaning u have to add the number that have the same variable ( x )
21x + 21x= 42x
Answer: E.) 9x^2 + 42x + 49

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!What are the factors of the polynomial function?

Use the rational root theorem to determine the factors.

Answers

Answer: (x - 2)(x + 2)(2x + 1)

Step-by-step explanation:

q p

f(x) = 2x³ + x² - 8x - 4

rational root theorem: $(p)/(q) = +/- (1, 2, 4)/(1, 2)$ so the possible roots are: +/- 1, 2, 4, $(1)/(2)$

Let's try x = 2

2 | 2 1 -8 -4

| ↓ 4 10 4

2 5 2 0 remainder is 0 so (x - 2) is a factor

0 = (x - 2) (2x² + 5x + 2)

0 = (x - 2) (x + 2)(2x + 1)

Answer: X - 2 ( X + 2) (2 x + 1)

Correct or incorrect? the difference of two numbers is always less than at least one of the numbers

Answers

the answer is "correct"

1+4=5
2+5=12
3+6=21
8+11=

Answers

If you would like to solve this expression, you can calculate this using the following steps:

1 + 4 = 5
2 + 5 = 12
3 + 6 = 21
4 + 7 = 32
5 + 8 = 45
6 + 9 = 60
7 + 10 = 77
8 + 11 = 96

The correct result would be 8 + 11 = 96.

The total number of cookies needed for the bake sale is 812 dozen. Two of your friends will each bake 14 of the cookies. Your sister will bake 18 of the cookies. What fraction of the cookies do you need to bake?

Answers

Answer: $(28)/(51)$

Step-by-step explanation:

1 dozen = 12

Given, Total cookies needed = $8\frac12\ dozen = (17)/(2)\ dozen$

$=(17)/(2)* 12\n\n=102$

2 friends bake 14 cookies each, and your sister will bake 18.

So total cookies already assigned = 2 (14)+18

= 28 + 18 = 46

Remaining cookies you need to bake = 102 - 46 =56

Required Fraction = $\frac{\text{Number of cookies you bake}}{\text{Total}}=(56)/(102)=(28)/(51)$

Hence, fraction of the cookies you need to bake $=(28)/(51)$ .

Find five rational numbers between - 1⁄3 and 1⁄3 (both are fractions : negative one third and positive one third)

Answers

1/4,1/5,1/10,1/20,1/40

A triangle with interior angles measuring a, b, and c degrees and exteriorangle measuring d degrees is shown above. If d measures 140°, what is the
sum of a and b?