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4 years ago

What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?

Mathematics

2 answers:

belka [17]4 years ago

8 0

Answer:

D. Factor out 3 from the first two terms.

Step-by-step explanation:

According to the <em>Vertex</em><em> </em><em>Formula</em><em> </em>[<em>y = A(X - H)² + K</em>], -H gives you the OPPOSITE terms of what they really are, but in this case, this would not qualify, since the question is asking something totally unique. So, since 3 is your "A", you factor that out, and since 6 is a multiple of 3, it is easy to work with. Anyway, you get this:

y = 3(x + 1)² - 11

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

kirza4 [7]4 years ago

4 0

Answer:

D. Factor out 3 from the first two terms.

Step-by-step explanation:

Vertex form is ...

y = a(x -h)² +k

where (h, k) is the vertex and "a" is the vertical scale factor.

This equation expands to give ...

y = ax² -2ahx + ah² +k

Factoring "a" from the terms involving x makes it easy to identify h and so finish putting the equation into vertex form. In this equation, that means the most appropriate first step is ...

factor out 3 from the first two terms

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Please write the function(x) from the given rules:a. Twice the input value plus three. B. The input value minus five. C. To get

Bas_tet [7]

Answer:

A) f(x) = 2x + 3

B) f(x) = x - 5

C) f(x) = 2x + 4

Step-by-step explanation:

To find - Please write the function(x) from the given rules:

A) Twice the input value plus three.

B) The input value minus five.

C) To get the output, multiply the input by two, then add four.

Proof -

Let us assume that the input = x

The output = f(x)

Now,

f(x) = 2x + 3

f(x) = x - 5

f(x) = 2x + 4

8 0

3 years ago

What is the slope of the line that passes through the points (−4,−1) and (18,−2) ?

Tatiana [17]

Answer:

Step-by-step explaination:

7 0

3 years ago

Find the values of x and y for the isosceles trapezoid

butalik [34]

<h3>Answer:</h3>

x = 15
y = 3

<h3>Step-by-step explanation:</h3>

If the trapezoid is isosceles, angles A and C are supplementary, so ...

... (4x+4) +(7x+11) = 180

... 11x +15 = 180 . . . . . . collect terms

... 11x = 165 . . . . . . . . . subtract 15

... x = 15 . . . . . . . . . . . . divide by the coefficient of x

And angles C and E are congruent.

... 4·15 +4 = 21y +1

... 63 = 21y . . . . . subtract 1

... 3 = y . . . . . . . . divide by the coefficient of y

4 0

4 years ago

A quilted block users eight parallelogram shaped pieces of clothe each with a base of 3/3/4 inches. How much fabric is needed to

borishaifa [10]

Answer:

The answer to the question is

37.5 ft² of fabric is needed to make the parallelogram pieces for 24 blocks.

Step-by-step explanation:

To answer the question, we note that a parallelogram is a four sided polygon having two opposite parallel sides.

Therefore in this question, we select our parallelogram to be a rectangle

Number of pieces of parallelogram in a quilted block = 8

Number of parallelogram in each quadrant of the quilted block = 2

Therefore the height of the rectangle = 2 × the base = 2× $3\frac{3}{4}$ = 7.5 inches

Therefore the area of each parallelogram = base × height

= $\frac{15}{4}*\frac{15}{2}$ = $\frac{225}{8}$ in²

since each quilted block uses 8 parallelogram, then the amount of fabric for each quilted block is

$\frac{225}{8} *8 = 225 in^2$

Hence 24 blocks wil require 24×225 in² = 5400 in²

However, since 144 in² = 1 ft² we have

5400 in² = 5400 in²× 1/144 ft²/in² = 37.5 ft².

7 0

4 years ago

4. Owen and his family are discussing how to pay for his college education. The cost of tuition at the college that Owen wants t

MrMuchimi

Answer:

400

Step-by-step explanation:

12000 X 60%=7200-parents

12000-7200=4800-owen

4800/12=400 is what owen will save monthly

6 0

3 years ago