Answer: y = 3x/2 + 8
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m represents the slope of the line.
The equation of the given line is
y = - 2x/3 + 5
Comparing with the slope intercept form, slope = - 2/3
If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.
Therefore, the slope of the line passing through (2, 11) is 3/2
To determine the y intercept, we would substitute m = 3/2, x = 2 and y = 11 into y = mx + c. It becomes
11 = 3/2 × 2 + c
11 = 3 + c
c = 11 - 3 = 8
The equation becomes
y = 3x/2 + 8
Add the ratio numbers to be your denominator
5+3+7+1=16
Pieces:
5/16 x124=38.75
3/16 x124=23.25
7/16 x124=54.25
1/16 x124=7.75
Which relation is a function? A. {(8,3), (-1,-1), (8,7), (-1,7)} B. {(1,6), (2,-3), (2,7), (3,7)} C. {(-3,6), (-3,9), (-1,4), (0
frez [133]
A. Not a function since x = 8 repeats. We have x = 8 pair up with y = 3 and y = 7 at the same time.
B. Not a function for similar reasons. Now x = 2 repeats. We have x = 2 pair up with y = -3 and y = 7
C. Not a function. We have x = -3 pair up with both y = 6 and y = 9 at the same time.
D. This is a function. Each x value is listed once and only once. Any input (x) leads to exactly one output (y). For choices A through C, it is possible to draw a vertical line through more than one point, thereby failing the vertical line test. In choice D, it is not possible to draw a vertical line through more than one point of this list. So this relation passes the vertical line test.
Answer: Choice D
24 children.....three quarters (thats 3/4) can write the whole alphabet....so 3/4 of 24 can do that.
3/4 of 24..." of " means multiply
3/4(24) = 72/4 = 18...so 18 of them can write the whole alphabet <==