Answer:
$84.60
Step-by-step explanation:
Multiply, since Bryon bought 3.6 cubic yards of soil and each cubic of yard cost $23.50. 3.6 x 23.50 = 84.6
Hello :
f(x) = <span>√(0.5x-10) +3
</span>inequality can be used to find the domain of f(x) is : 0.5x-10 <span>≥ 0
</span>0.5x ≥10
x ≥10/0.5
x ≥ 20
the domain of f(x) is : D = <span>[</span><span>20 ; + ∞[ </span>
Answer:
Axis of symmetry is x = -4
Step-by-step explanation:
h(x)= 5x^2+40x+ 64
Use the formula for axis of symmetry: x = -b/(2a)
Here, a = 5, b = 40, c = 64
so
x = -40/(2*5) = -40/10 = -4
Axis of symmetry is x = -4
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:
Decay
since 0.292 is less than 1
% rate of decrease
1 - 0.292 = 0.708
70.8%
