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2 years ago

12

Identify as a direct variation, inverse variation or neither. is the cost of gasoline a direct or inverse variation with respect

to the number of gallons used? direct inverse neither

1 answer:

r-ruslan [8.4K]2 years ago

8 0

I would say direct because the more gallons of gasoline used, the bigger the cost.

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Which line is being represented by the graph?

Yakvenalex [24]

Answer:

The answer is <em><u>C,</u></em><em><u> </u></em><em><u>y=</u></em><em><u> </u></em><em><u>-</u></em><em><u>3</u></em><em><u>/</u></em><em><u>4</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>4</u></em>

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1 year ago

If you need one gallon of gas for 20miles how many gallon do you need for 364 miles?

ad-work [718]

Divide total miles by miles per gallon:

364 miles / 20 miles per gallon = 18.2 gallons

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3 years ago

P(x)= 3x^3-5x^2-14x-4

nexus9112 [7]

$\displaystyle\\
P(x)=3x^3-5x^2-14x-4\\\\
D_{-4}=\{-4;~-2;~\underline{\bf -1};~1;~2;~4\}\\\\
\text{We observe that } \frac{-1}{3} \text{ is a solution of the equation:}\\
3x^3-5x^2-14x-4=0\\\\
$

$\displaystyle\\
\text{Verification}\\\\
3x^3-5x^2-14x-4=\\\\
=3\times\Big(-\frac{1}{3}\Big)^3-5\times\Big(-\frac{1}{3}\Big)^2-14\times\Big(-\frac{1}{3}\Big)-4=\\\\
=-\frac{1}{9}-\frac{5}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{42}{9}- \frac{4\times 9}{9}=\\\\
 =-\frac{6}{9}+\frac{42}{9}- \frac{36}{9}= \frac{42-6-36}{9}=\frac{42-42}{9}=\frac{0}{9}=0\\\\
\Longrightarrow~~~P(x)~\vdots~\Big(x+ \frac{1}{3}\Big)\\\\
\Longrightarrow~~~P(x)~\vdots~(3x+1)$

$\displaystyle\\
3x^3-5x^2-14x-4=0\\
~~~~~-5x^2 = x^2 - 6x^2\\
~~~~~-14x =-2x-12x \\
3x^3+x^2 - 6x^2-2x-12x-4=0\\
x^2(3x+1)-2x(3x+1) -4(3x+1)=0\\
(3x+1)(x^2-2x -4)=0\\\\
\text{Solve: } x^2-2x -4=0\\\\
x_{12}= \frac{-b\pm \sqrt{b^2-4ac}}{2a}=\\\\=\frac{2\pm \sqrt{4+16}}{2}=\frac{2\pm \sqrt{20}}{2}=\frac{2\pm 2\sqrt{5}}{2}=1\pm\sqrt{5}\\\\
x_1 =1+\sqrt{5}\\
x_2 =1-\sqrt{5}\\
\Longrightarrow P(x)= 3x^3-5x^2-14x-4 =\boxed{(3x+1)(x-1-\sqrt{5})(x-1+\sqrt{5})}$

7 0

2 years ago

The function c=1.50(n-2)+5.50

qwelly [4]

Answer:

c =1.50n +2.50

Step-by-step explanation:

c=1.50(n-2)+5.50

The first step is to distribute the 1.5

c= 1.50*n -1.50*2 + 5.50

c = 1.50n - 3.0 +5.50

Now we need to combine like terms

c =1.50n +2.50

3 0

3 years ago

Last spring, the drama department at Greenwood High School had 10 student audition for the musical. This spring, there were 8 st

Brilliant_brown [7]

20% cuz 2/10 students dropout then 2/10=20%

5 0

2 years ago