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3 years ago

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

Mathematics

2 answers:

DedPeter [7]3 years ago

7 0

Answer:

Factor out 3 from the first two terms.

Step-by-step explanation:

kkurt [141]3 years ago

5 0

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

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A = 1,2 ( a + b ) h for h

ozzi

$\dfrac{1}{2}(a+b)h=A\ \ \ \ |\cdot2\\\\(a+b)h=2A\ \ \ \ |:(a+b)\\\\\boxed{h=\dfrac{2A}{a+b}}$

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3 years ago

Which of the following is the solution to the following systems of inequalities? (picture included)

Ymorist [56]

Answer:

C. (see the attachment)

Step-by-step explanation:

Both inequalities include the "or equal to" case, so both boundary lines will be solid. That excludes choices A and D.

The first inequality is plotted the same way in all graphs, so we must look at the second inequality. The relationship of y and the comparison symbol is ...

-y ≥ (something)

If we multiply by -1, we get ...

y ≤ (something else)

This means the solution space will be <em>on or below (less than or equal to) the boundary line</em>. This is the shaded area in graph C. (Graph B shows shading <em>above</em> the line.)

___

<em>Further comment</em>

Since the boundary for the second inequality is fairly steep, "above" and "below" the line can be difficult to see. Rather, you can consider the relationship of x to the comparison symbol. For the second inequality, that is ...

x ≥ (something)

indicating the solution space is <em>on or to the right of the boundary line</em>.

3 0

2 years ago

What is 4+4? pls help

Nataly_w [17]

Answer:

Step-by-step explanation:

add 4 plus 4 then omg watch this you get 8 abracadabra....

you're welcome

3 0

3 years ago

Read 2 more answers

A coat that usually costs $123 is marked off 1/3 (one-third) off. What is the sale price of the coat? Round to the nearest dolla

serg [7]

Basically you just divide:

123/3 = 41

So the sale price of the coat would be $41

7 0

3 years ago

Read 2 more answers

Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.

Verizon [17]

Answer:

Step-by-step explanation:

The formula of a sum of terms of a gometric sequence:

$S_n=a_1\cdot\dfrac{1-r^n}{1-r}$

a₁ - first term

r - common ratio

We have

$a_n=-4(6)^{n-1}$

Calculate a₁. Put n = 1:

$a_1=-4(6)^{1-1}=-4(6)^0=-4(1)=-4$

Calculate the common ratio:

$r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=-4(6)^{n+1-1}=-4(6)^n\\\\r=\dfrac{-4(6)^n}{-4(6)^{n-1}}=6^n:6^{n-1}\\\\\text{use}\ a^n:a^m=a^{n-m}\\\\r=6^{n-(n-1)}=6^{n-n+1}=6^1=6$

$\text{Substitute}\ a_1=-4,\ n=7,\ r=6:\\\\S_7=-4\cdot\dfrac{1-6^7}{1-6}=-4\cdot\dfrac{1-279936}{-5}=-4\cdot\dfrac{-279935}{-5}=(-4)(55987)\\\\S_7=-223948$

7 0

3 years ago