A point is written using the form (X,Y), so the first number is the X and the second number is the Y.
Replace x and Y in the given equation with the given point:
y ≤ 3x+1
9 ≤ 3(2) +1
9 ≤ 6 +1
9 ≤ 7
9 is not less than or equal to 7, so the point (2,9) does not satisfy the inequality.
Answer:
$133.20
Step-by-step explanation:
Since the amount of hours she worked isn't a whole number, we can first separate 18 and 1/2 and work the problem out one at a time.
1. Multiply 7.20 by 18 to get 129.60
2. Multiply 0.50 by 7.20 to get 3.60.
3. Add 129.60 and 3.60 together to get the answer, 133.20.
Answer:
-2(9+32n)
Step-by-step explanation:
Both the 18 and 64 n are negative, and that is the only answer choice that results in two negative numbers.
Answer:
A, B, F
Step-by-step explanation:
2/3 - x + 1/6 = 6x
Collect like terms
2/3 + 1/6 = 6x + x
(4+1) / 6 = 7x
5/6 = 7x
x = 5/6 ÷ 7
= 5/6 × 1/7
x = 5/42
a) 4 - 6x + 1 = 36x
4 + 1 = 36x + 6x
5 = 42x
x = 5/42
Equivalent to the last step of the simplification above
b) 5/6 - x = 6x
5/6 = 6x + x
5/6 = 7x
This is equivalent to the third step of the simplification
c) 4 - x + 1 = 6x
4 + 1 = 6x + x
5 = 7x
x = 5/7
Not equivalent to any of the steps in the simplification above
d) 5/6 + x = 6x
5/6 = 6x - x
5/6 = 5x
x = 5/6 ÷ 5
= 5/6 × 1/5
x = 5/30
Not equivalent to any of the steps in the simplification above
e) 5 = 30x
x = 5/30
Not equivalent to any of the steps in the simplification above
f) 5 = 42x
x = 5/42
Equivalent to the last step of the simplification above
Y = - 20x + 100
Slope is -20, y-intercept is 100.