Part A:
To determine the values of the times to which the height of the two cannon balls are the same, we equate the given functions.
H(t) = g(t)
Substitute the expressions for each.
-16t² + 48t + 12 = 10 + 15.2t
Transpose all the terms to the left-hand side of the equation.
-16t² + (48 - 15.2)t + (12 - 10) = 0
Simplifying,
-16t² + 32.8t + 2 = 0
The values of t from the equation are 2.11 seconds and -0.059 seconds
Part B:
In the context of the problem, only 2.11 seconds is acceptable. This is because the second value of t which is equal to -0.059 seconds is not possible since there is no negative value for time.
Can you take a better picture and I will help?
Answer:
8,2
Step-by-step explanation:
Answer:
$70
Step-by-step explanation:
Daria's total income = fixed income + variable income
Let
Daria's Fixed income = x
additional $30 if the buyer gets an extended warranty
Daria's variable income = 30s
Where,
s = number of televisions with extended warranties she sells
If Daria sells 15 televisions with extended warranties, she earns \$1,500. Find her fixed income
Daria's total income = fixed income + variable income
1500 = x + 30(15)
1500 = x + 450
1500 - 450 = x
1,050 = x
x = $1,050
Daria's total fixed income = $1,050
How much is the fixed amount Daria for each television?
Fixed income per television = Total fixed income / number of television sold
= 1050 / 15
= 70
Fixed income per television = $70
First you make them mixed numbers:
9/2 ÷ 19/8
Then you flip the second fraction around
9/2 ÷ 8/19
Then you change ÷ to ×
9/2 × 8/19
And then multiply across!
72/38 = 1 34/38 = 1 17/19 (the final answer)
Hope this helps!
