Answer:
2 .The slope of Function A is less than the slope of Function B
Step-by-step explanation:
A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)
The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)
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<em>More detailed working</em>
The slope of Function A can be figured easily between the points with x-values that differ by 1:
m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.
The slope of Function B is the coefficient of x in the equation: 3.
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The y-intercept of Function A can be found starting with point-slope form:
y -22 = 2(x -9)
y = 2x -18 +22
y = 2x +4 . . . . . . . slope-intercept form
The intercept of +4 is the same as that of Function B.
Answer:
The lateral area of the pipe is 942 sq ft.
Step-by-step explanation:
A pipe can be modeled as a cylinder prism.
The lateral area of a cylinder prism can be expressed as the product of the length by the perimeter of the section.
We start by calculating this perimeter.
As the diameter is 25 ft, the perimeter of the section can be expressed as:
Then, to know the lateral surface we multiply this perimeter by the length of the pipe (12 ft):
The lateral area of the pipe is 942 sq ft.
Answer:
Step-by-step explanation:
<u>Given</u>
- Perpendicular line that passes through the point (-1, -2)
Perpendicular line has negative reciprocal slope, so the slope is -1
<u>The line in slope-intercept form is:</u>
<u>Using the given point, finding the y-intercept:</u>
- -2 = -(-1) + b
- -2 = 1 + b
- b = -2 - 1
- b = -3
<u>So the Werewolf's equation is:</u>
Answer:
B: 4 liters of soda
Step-by-step explanation:
16 / 4 = 4
Therefore,
The snack committee mixed 4 liters of soda per liter of fruit punch.
Answer:
x=4
Step-by-step explanation:
4(3+2x)+2=46
12+8x+2=46
12+8x=44
8x=32
x=4