The answer is 91 ............
Step-by-step explanation:
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3y=8x
Explanation:
If y varies directly with x then
y=c⋅x for some constant of variation c
If (x,y)=(14,23) is a solution to this equation, then
23=c⋅14
→c=23⋅41=83
So
y=83x
or (clearing the fraction)
3y=8x
Answer:
C is the correct answer due to two-step inequality process
Step-by-step explanation:
Your inequality is: 5a + 18 < -27
First, you must remember that the < or > shall not be shaded in.
You could automatically eliminate answer A.
Now you need to do two-step inequalities which is the same thing as two-step equations but with an inequality sign.
5a + 18 < -27
5a < -27-18
5a < -45
**Now, here's something important: If you are multiplying with negatives while dealing with inequalities you must switch the sign to its opposite.
-9 > a
You need to find a number line that has numbers less than -9. It could be -10, -11, -12, -122, etc.
C is the correct answer.
Answer:
(x, y) = (-0.6, 0.8) or (1, 4)
Step-by-step explanation:
Use the second equation to substitute for y in the first.
(x -1)² +((2x +2) -2)² = 4
x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses
5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms
Now we can rearrange the middle term to ease factoring by grouping.
(5x² -5x) +(3x -3) = 0
5x(x -1) +3(x -1) = 0
(5x +3)(x -1) = 0
The values of x that make these factors zero are ...
x = -3/5, x = 1
The corresponding values of y are ...
y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5
y = 2(1) +2 = 4 . . . . . . . . for x = 1
The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).
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A graphing calculator verifies these solutions.