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2 years ago

Explain it step by step

Mathematics

1 answer:

NemiM [27]2 years ago

3 0

Answer:

Step-by-step explanation:

Like terms have same variable with same power. Combine like terms

153y³ + 132y² + 6y - 5 - 3y³ - 5y² +4y - 2

= <u>153y³ - 3y³</u> + 132y² - 5y² + 6y + 4y <u> -5 - 2</u>

= <u>150y³</u> + 127y² + 10y<u> - 7</u>

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Answer:

$\textsf{12.} \quad y = 6x - 5$

$\textsf{17.} \quad y=-\dfrac{1}{4}x-2$

Step-by-step explanation:

<h3><u>Question 12</u></h3>

Find the slope of the line by substituting two points from the given table into the slope formula.

<u>Define the points</u>:

Let (x₁, y₁) = (2, 7)
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<h3><u>Question 17</u></h3>

Given:

f(4) = 3
f(0) = -2

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(4, -3)
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Therefore, the y-intercept of the line is -2.

$\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}$

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Therefore, the equation of the line is:

$y=-\dfrac{1}{4}x-2$

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