Answer: D: [0, ∞)
R: [0, ∞)
Step-by-step explanation:
f(x) = 1.5x
- x is the number of bottles
Domain is the x-values. The least amount of bottles you can buy is 0 and the most you can buy is infinite <em>(technically you can only buy the amount you can afford and the amount the store has to sell but for mathematical purposes you can buy an infinite amount)</em>
So, the domain (D) is x = 0 to ∞ → D: [0, ∞)
Range is the y-values. The least and most amounts are based on the domain. Since the smallest x-value is 0, input that value into the equation to solve for f(x). Similarly, input the greatest x-value to solve for f(x).
f(x) = 1.5(0)
= 0
f(x) = 1.5(∞)
= ∞
So, the range (R) is f(x) = 0 to ∞ → R: [0, ∞)
30 cups is the correct answer
Answer:
5z^2+6a is the answer I think
Given:
tickets for adults - 25
tickets for kids - 15
initial cost - 450
increase in tickets for kids to - 18
cost after increase - 480
let x be number of adults and y be number of kids
25x + 15y = 450
25x + 18y = 480
subtraction:
25x + 15y = 450
<u>-25x - 18y = -480</u>
0 - 3y = - 30
y = -30/-3
y = 10
There are 10 kids.
25x + 15y = 450
25x + 15(10) = 450
25x + 150 = 450
25x = 450 - 150
25x = 300
x = 300/25
x = 12
There are 12 adults.
All in all there are 12 adults and 10 kids.
to check:
25x + 15y = 450
25(12) + 15(10) = 450
300 + 150 = 450
450 = 450
25x + 18y = 480
25(12) + 18(10) = 480
300 + 180 = 480
480 = 480
Answer:
K = 3/2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
k−9=5(k−3)
k+−9=(5)(k)+(5)(−3)(Distribute)
k+−9=5k+−15
k−9=5k−15
Step 2: Subtract 5k from both sides.
k−9−5k=5k−15−5k
−4k−9=−15
Step 3: Add 9 to both sides.
−4k−9+9=−15+9
−4k=−6
Step 4: Divide both sides by -4.
-4k/-4 = -6/-4
K = 3/2
