Answer:27
Step-by-step explanation:
Answer:
O It has the same slope and a different y-intercept.
Step-by-step explanation:
y = mx + b
m = 3/8
b = 12
y = (3/8)x + 12
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Data in the table: slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).
Change in x and y between two points. I'll choose (-2/3,-3/4) and (1/3,-3/8).
Change in y: (-3/8 - (-3/4)) = (-3/8 - (-6/8)) = 3/8
Change in x: (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1
Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8
The slope of the equation is the same as the data in the table.
Now let's determine if the y-intercept is also the same (12). The equation for the data table is y = (2/3)x + b, and we want to find b. Enter any of the data points for x and y and then solve for b. I'll use (-2/3, -3/4)
y = (3/8)x + b
Use (-2/3, -3/4)
-3/4 =- (3/8)(-2/3) + b
-3/4 = (-6/24) + b
b = -(3/4) + (6/24)
b = -(9/12) + (3/12)
b = -(6/12)
b = -(1/2)
The equation of the line formed by the data table is y = (3/8)x -(1/2)
Therefore, It has the same slope and a different y-intercept.
6(2x - 11) + 15 = 21
First step use distributive property on the left side to remove the parenthesis, to do this multiply 6 by each term inside the parenthesis:
12x - 66 + 15 = 21
Second step, simplify the left side by combining the like terms:
12x - 51 = 21
Third step, add 51 to both sides of the equation:
12x = 72
Last step, divide both sides by 12:
x = 72/12
x = 6
-3
When there are two negative be added your answer will always be negative. In this case add the ones(2) and then add the 1/2s(1) and then add the two. For this you’ll get 3 but just add the negative sign.
Answer:
18.50 times 3 equals 55.5, the answer is 55.50
