Answer:
Q3: A
Q4: 9x² + (-x) + (-3)
Step-by-step explanation:
Q3: C (63) => x = 63. => C(x) = 36 x 63
Q4: f(x) + g(x) = 7x² - 5x + 3 + 2x² + 4x - 6 = (7x² + 2x²) + (-5x + 4x) + (3 - 6) = 9x² + (-x) + (-3)
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:
0.25
Step-by-step explanation:
we have
we know that
substitute
Remember that
so
Answer:
see below
Step-by-step explanation:
a) w <= 40 lbs
b) Do you have any bag that weigh 0 lbs or negative lbs?
We need to rewrite the inequality so that these are not there
0<= w <= 40 lbs
