What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?A.Factor out 3 from each term.
B.Form a perfect square trinomial by keeping the value of the C.function equivalent.
D.Write the trinomial as a binomial squared.
E.Factor out 3 from the first two terms.

Answers

Answer 1
Answer: The first step in writing f(x) = 3x² + 6x - 8 in vertex form is

E. Factor out 3 from the first two terms.

f(x) = 3x² + 6x - 8
f(x) = 3(x² + 2x) - 8
f(x) + 8 = 3(x² + 2x + __)
f(x) + 8 + 1 = 3(x² + 2x + 1)
f(x) + 9 = 3(x+1)²
f(x) = 3(x+1)² - 9

Answer 2
Answer:

Answer:

Factor out 3 from the first two terms.

Step-by-step explanation:


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Find all real number x such that 
6x-21≥3 or 14x+11≤-7

Answers

6x-21 \geq 3\n \n 6x \geq 3+21\n \n 6x \geq 24\n \n x \geq (24)/(6)\n \n \boxed{x \geq 4}

14x+11 \leq -7\n \n 14x \leq -7-11\n \n 14x \leq -18\n \n x \leq (19)/(14)\n \n x \leq (9)/(7)

What is the domain of the function y=3√6x+42 A. x ≥ 0
B. x ≤ 7
C. x ≥ –6
D. x ≥ –7

Answers

Answer:  The correct option is (D) x\geq -7.

Step-by-step explanation:  We are given to find the domain of the following function:

y=3√(6x+42)~~~~~~~~~~~~~~~~~~~~~~~~~(i)

The domain of a function y = f(x) is the set of all possible x-values which will make the function defined or will output real y-values.

That is, for the function (i), the domain will be given by all those values of x for which 3√(6x+42) is real.

Now, the values of y will be real only if the expression under square root is greater than or equal to 0.

Therefore, the domain of function (i) is

√(6x+42)\geq0\n\n\Rightarrow 6x+42\geq 0\n\n\Rightarrow 6x\geq -42\n\n\Rightarrow x\geq -(42)/(6)\n\n\Rightarrow x\geq -7.

Thus, the domain of the given function is x\geq -7.

Option (D) is CORRECT.

The domain of  the function:
y = 3 √ ( 6 x + 42 )
6 x + 42 ≥ 0
6 x ≥ - 42
x ≥ - 42 : 6
x ≥ - 7
Answer:
The domain is D ) x ≥ - 7
 

WHAT IS THE SQUARE ROOT OF 55

Answers

What is the square root of 55 =7.146
If you want the simplified version of the square root, its already in simplest form.

Jeremy drove from Portland to Miami. He determines that the expression 450x + 150 represents the distance in miles he traveled, where x is the number of days after the first day. Which statement describes correctly what the coefficient of x represents?

Answers

Answer:

The coefficient of x represents the number of miles driven each day.

Step-by-step explanation:

The coefficient of x is being multiplied by x, or the number of days. If the expression models the total distance travelled, then Jeremy drove 450 miles each day.

EXTRA CREDIT MATH HELP!!! (2/6)

Answers

6.75x-9

2.25x-3(3) is how you set this up to calculate perimeter.
the answer is 6.75x-9

plz mark brainliest

I need help guys with this including steps ..

Answers

Answer:

1. When adding you just add the numbers from the same space so

3  7

10 45

2. Same as adding but the opposite

2  1  2

3  1  6

1  2  1

 

Step-by-step explanation: