3 years ago

Help please with the question

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

4 0

Hello : here is a solution

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If 4 liters of motor oil cost $3.88, what is the price for 1 liter?

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The price of 1 liter motor oil is $0.97

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A line passes through the points (–3, –4) and (6, 2). What number is the x-intercept?

LuckyWell [14K]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1}$

$\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{x-intercept:}\ (x,\ 0).\\\\\text{Susbtitute the coordinates of the points to the formula of a slope}\\\\(-3,\ -4),\ (6,\ 2),\ (x,\ 0):\\\\m=\dfrac{2-(-4)}{6-(-3)}=\dfrac{2+4}{6+3}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\m=\dfrac{0-2}{x-6}=\dfrac{-2}{x-6}\\\\\text{Therefore we have the equation:}\\\\\dfrac{-2}{x-6}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\2(x-6)=(-2)(3)\\\\2(x-6)=-6\qquad\text{divide both sides by 2}\\\\x-6=-3\qquad\text{add 6 to both sides}\\\\x=3$

$\bold{METHOD\ 2}\\\\\text{Look at the picture.}$

Mark points in the coordinate system.

Lead a line through these points.

Read x-intercept.

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3 years ago

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Which table of values represents a function?

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Help me with this to and use pemdas or not

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(72÷2)³ - 7 · 9 ÷ 9

First, parenthesis

72÷2 is 36

Next, exponents.

36³ is 46656.

Then, multiplication.

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After that, division.

63 ÷ 9 is 7

Finally, subtraction.

46656 - 7 is 46649

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3 years ago