Answer:
f(x) = (x - 3)(x + 1) → Corresponds with the first (raised higher ) ∪ shaped graph
f(x) = -2(x - 1)((x + 3) → Corresponds with the ∩ shaped graph
f(x) = 0.5(x - 6)((x + 2) → Corresponds with the second (lower) ∪ shaped graph
Step-by-step explanation:
For the function f(x) = (x - 3)(x + 1)
We have;
When x = 0, y = -3
When y = 0 x = 3 or -1
Comparing with the graphs, it best suits the first ∪ shaped graph that rises here than the other ∪ shaped graph
For the function;
f(x) = -2(x - 1)((x + 3)
When x = 0, y = 6
When y = 0, x = 1 or -3
Which corresponds with the ∩ shaped graph
For the function;
f(x) = 2(x + 6)((x - 2)
When x = 0, y = -24
When y = 0, x = -6 or 2
Graph not included
For the function;
f(x) = 0.5(x - 6)((x + 2)
When x = 0, y = -6
When y = 0, x = 6 or -2
Which best suits the second ∪ shaped graph that is lower than the other (first) ∪ shaped graph
For the function;
f(x) = 0.5(x + 6)((x - 2)
When x = 0, y = -6
When y = 0, x = -6 or 2
Graph not included
For the function;
f(x) = (x + 3)((x - 1)
When x = 0, y = -3
When y = 0, x = -3 or 1
Graph not included
1 gallon = 16 cups
2 gallons = 16 x 2 = 32
32-10=22
there will be 22 cups left over
Answer:
Total amount in Joe's savings account T = $448
Step-by-step explanation:
Given;
time t = 3 years
Annual rate r = 4%
Principal P = $400
Simple interest can be expressed as;
I = Prt/100
Substituting the given values;
I =400×4×3/100 = 4800/100
I = $48
Total amount in account T;
T = P + I = $400 + $48 = $448
Answer:
2 fluid ounce/hour
Step-by-step explanation:
2 hours to 5 hours ; 3 hours apart
leaks: 48 -42 = 6 fluid ounce
rate of leak = 6/3 = 2 fluid ounce/hour