Answer:
m = 2/3
y-intercept: 2
Explanation:
First convert this equation into standard form by distributing the 6y and -4x from the coefficient of 2, and then putting the variables in order.
This equation should be in the form: Ax + By = C (Standard form)
y = -Ax/B + C/B : y = mx + b (Slope intercept form)
2(6y - 4x) = 24 → 12y - 8x = 24
→ -8x + 12y = 24 → -8x = -12y + 24 → 8x = 12y - 24 → <em>8x - 12y = -24</em>
<u>8</u>x <u>- 12</u>y = <u>-24</u>
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A B C
Once you have standard form, you are ready to convert this into slope intercept by isolating the y completely.
8x - 12y = -24
-8x -8x
(First through the subtraction property of equality, remove 8x from both sides so that -12y is by itself on the left)
-12y = -8x - 24
×-1 ×-1 ×-1
(Through the identity property of negative 1, remove the negative sign from all of the numbers because a negative times a negative is a positive)
12y = 8x + 24
(Lastly, through the division property of equality, divide all sides by 12 because it is the coefficient of y, which will solve for the variable)
There are 3 times as many participants in the 40–59 age group than in the 0–19 age group is the one statement among the following choices given in the question that best compares the height of the bars of the histogram. The correct option would be " There are 3 times as many participants in the 40–59 age group than in the 0–19 age group."
Answer/Step-by-step explanation:
72/12=6
6x5=30
30 points.
Answer:
135 small cubes fill the prism
Step-by-step explanation:
Find the volume of the prism.
V = l * w * h
l = 2 1/4 = 2.25
w = 3/4 = 0.75
h = 1 1/4 = 1.25
V = 2.25 * 0.75 * 1.25
V = 2.109375
I wouldn't round this quite yet.
V of 1 small cube = 1/4 * 1/4 * 1/4 = .015625
So divide the volume of the prism by the volume of the small cube
2.109375/0.015625 = 135
