Answer:
135 degrees \
Step-by-step explanation:
5x= x+108
Subtract x from the right
4x= 108
divide by 4
x= 27
Substitute for x in the original equation
(x+108)
(27)+(108)
= 135 degrees
Answer:
6
Step-by-step explanation:
Cost per item is found by dividing the cost by the number of items. If the woman bought n items for $120, the cost of each item is $120/n. If the woman bought 24 more items, n+24, at the same price, then the cost per item is $120/(n+24). The problem statement tells us this last cost is $16 less than the first cost:
120/(n+24) = (120/n) -16
Multiplying by n(n+24) gives ...
120n = 120(n+24) -16(n)(n+24)
0 = 120·24 -16n^2 -16·24n . . . . . . subtract 120n and collect terms
n^2 +24n -180 = 0 . . . . . . . . . . . . . divide by -16 to make the numbers smaller
(n +30)(n -6) = 0 . . . . . . . . . . . . . . factor the quadratic
The solutions to this are the values of n that make the factors zero: n = -30, n = 6. The negative value of n has no meaning in this context, so n=6 is the solution to the equation.
The woman bought 6 items.
_____
Check
When the woman bought 6 items for $120, she paid $120/6 = $20 for each of them. If she bought 6+24 = 30 items for the same money, she would pay $120/30 = $4 for each item. That amount, $4, is $16 less than the $20 she paid for each item.
Answer:
Step-by-step explanation:
2y = 3 -2x
Rearrange the equation to slope-intercept form
y = -x + 3/2
Slope of line is 3/2.
Answer: B. neither
<u>Step-by-step explanation:</u>
A function is even when f(x) = f(-x).
A function is odd when f(-x) = -f(x).
f(x) = 2x³ - x²
f(-x) = 2(-x)³ - (-x)²
= -2x³ - x²
f(x) = 2x³ - x² ≠ f(-x) = -2x³ - x² so it is NOT EVEN
-f(x) = -(2x³ - x²)
= -2x³ + x²
f(-x) = -2x³ - x² ≠ -f(x)= -2x³ + x² so it is NOT ODD
Therefore, it is NEITHER even nor odd.
