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3 years ago

Determine the slope and vertical intercept of the following linear function below

1 answer:

3 0

to get the slope of it, we simply need two points off the table, say (-4,-114) and (2,48). Recall that the y-intercept, where the graph <u>intercepts</u> the y-axis, when that happens x = 0, so is right there on the table already.

$\bf \begin{array}{rrll} x&y\\ \cline{1-2} -4&-114\\ -2&-60\\ 0&-6&\leftarrow y-intercept\\ 2&48\\ 4&102 \end{array}~\hfill (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-114})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{48})$

$\bf slope\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{48-(-114)}{2-(-4)}\implies \cfrac{48+114}{2+4}\implies \cfrac{162}{6}\implies 27 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left(\stackrel{slope}{27}~~,~~\stackrel{y-intercept}{-6} \right)~\hfill$

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In one week, a bakery made 1,424 trays of 25 chocolate chip cookies. The bakery also baked 628

madam [21]

Answer:
The bakery baked 11,932 sugar cookies.
Explanation:
628 trays x 19 cookies = 11,932 cookies

They also baked 35,600 chocolate chip cookies. The total of BOTH cookies baked is 47,532. Hope this helped! ^^

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2 years ago

The circumference of circle 1 is 16 pi units. The circumference of circle 2 is 6 pi units. Which of the following is true about

Yanka [14]

Answer:

Area of Circle 1=>64(pi) units^2

Area of Circle 2=>9(pi) units^2

Step-by-step explanation:

Circumference=2(pi)r

Circle 1: 2(pi)r=16(pi)

Divide by 2(pi) on both sides

r=8 units

Area=(pi)r^2

Area of circle 1=>(pi)*(8^2)

Area of Circle 1=>64(pi) units^2

Circle 2: 2(pi)r=6(pi)

Divide by 2(pi) on both sides

r=3 units

Area=(pi)r^2

Area of circle 2=>(pi)*(3^2)

Area of Circle 2=>9(pi) units^2

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3 years ago

A tax cut ________ aggregate demand and ________. A. decreases; shifts the AD curve leftward B. decreases; shifts the AD curve r

aksik [14]

Answer:

E. increases; shifts the AD curve rightward

Step-by-step explanation:

Tax cut means lower tax income tax rates, that mean individuals will have more of their income, that is more money to spend leading to increase in aggregate demand. This will lead to a rise (increase) in the aggregate demand curve which implies rightward movement.

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3 years ago

Which of the following is the rational exponent expression of third root of 4 n? A) (4n)3

zhuklara [117]

You have to check which of the following expressions is the rational exponent expression of third root of 4n, or mathematically, $\sqrt[3]{4n} .$ Consider all cases:

A. $(4n)^3=4^3\cdot n^3=64n^3\neq\sqrt[3]{4n} .$

B. $3n^4\neq \sqrt[3]{4n} .$

C. quantity of 4n to the one third power is $(4n)^{\frac{1}{3} }=\sqrt[3]{4n}$ (by the definition of rational power).

D. 4 times n to the one third power is $4\cdot n^{\frac{1}{3} }=4\sqrt[3]{n}\neq \sqrt[3]{4n} .$

Answer: correct choice is C.

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3 years ago

Read 2 more answers

In a litter of 7 kittens, each kitten weighs less than 3.5 ounces. Find all the possible values of the combined weights of the k

Dima020 [189]

Let's use w to symbolize the weight of kittens. Given by the statement "each kitten weighs less than 3.5 ounces" we know that

1*w < 3.5

We can multiply both sides of the inequality by 7 to determine the total weights

7*(1*w) < 7*(3.5)

7*w < 24.5

Since there are 7 kittens, the combined weight of the kittens is 7w, therefore the above expression could be read as "The combined weight of the kittens is less than 24.5 ounces"

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3 years ago