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3 years ago

Evaluate the expression. |-1/3 (1^10+ 9 - 2^3|

Mathematics

1 answer:

defon3 years ago

5 0

Answer:

2/3

Step-by-step explanation:

|-1/3 * (1^10+9-2^3)|=

|-1/3 * (1+9-8)|=

|-1/3 * (2)|=

|-2/3 |=

2/3

Since |a|= a if 'a' is a positive number

and |a|= -a if 'a' is a negative number

The answer always is a positive number

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I only need 12 and 17, first good response i will give brainliest please i’m desperate

Mumz [18]

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)
Let (x₂, y₂) = (3, 13)

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{13-7}{3-2}=\dfrac{6}{1}=6$

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:

$\implies y-y_1=m(x-x_1)$

$\implies y-7=6(x-2)$

$\implies y-7=6x-12$

$\implies y=6x-5$

<h3><u>Question 17</u></h3>

Given:

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

Therefore, two points on the line are:

(4, -3)
(0, -2)

The y-intercept is the y-value when x = 0.

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}}$

Substitute the y-intercept and the point (4, 3) into the slope-intercept formula and solve for <em>m</em> to find the slope:

$\implies y=mx+b$

$\implies -3=m(4)-2$

$\implies -1=4m$

$\implies m=-\dfrac{1}{4}$

Therefore, the equation of the line is:

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

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1 year ago

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Allisa [31]

Answer:

rate of change is 4.

Step-by-step explanation:

rate of change is the slope, so, pick any two relations given to us in the table.

(-3, -14) and (-1, -6).

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slope = -6 - (-14)/-1-(-3)

slope = 8/2 = 4.

the rate of change is 4.

6 0

3 years ago

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faltersainse [42]

Answer:

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3 years ago

Evaluate the expression. |-1/3 (1^10+ 9 - 2^3|​

Evaluate the expression. |-1/3 (1^10+ 9 - 2^3|