Answer:
t≈8.0927
Step-by-step explanation:
h(t) = -16t^2 + 128t +12
We want to find when h(t) is zero ( or when it hits the ground)
0 = -16t^2 + 128t +12
Completing the square
Subtract 12 from each side
-12 = -16t^2 + 128t
Divide each side by -16
-12/-16 = -16/-16t^2 + 128/-16t
3/4 = t^2 -8t
Take the coefficient of t and divide it by 8
-8/2 = -4
Then square it
(-4) ^2 = 16
Add 16 to each side
16+3/4 = t^2 -8t+16
64/4 + 3/4= (t-4)^2
67/4 = (t-4)^2
Take the square root of each side
±sqrt(67/4) =sqrt( (t-4)^2)
±1/2sqrt(67) = (t-4)
Add 4 to each side
4 ±1/2sqrt(67) = t
The approximate values for t are
t≈-0.092676
t≈8.0927
The first is before the rocket is launched so the only valid answer is the second one
Answer:
Correct option: A. Weight.
Step-by-step explanation:
In regression analysis there are two kinds of variables: Explanatory and Response variable.
The explanatory variable are used to predict the changes in the response variable. They are also known as independent or predictor variable.
The response variable are observed for any changes caused by the explanatory variable. They are also known as the dependent or experimental variable.
In this case it is provided that heavier cars have lower fuel efficiencies.
It implies that there is linear inverse relationship between the variables weight of the car and fuel efficiency.
The response variable is the fuel efficiency and the explanatory variable is the weight of the car. Since the weight of the car is used to determine the fuel efficiency.
Thus, the explanatory variable is the weight of the car.
Answer: C= (3,2) and D=(2.2, 2.8)
Step-by-step explanation:
The coordinates of point P(x,y) divides a line segment having end points M
and N
in m:n will be :-
Given : The endpoints of AB are A(1,4) and B(6,-1).
If point C divides AB in the ratio 2 : 3, the coordinates of point C will be :-
Simplify,
Thus , coordinate of C= (3,2)
If point D divides AC in the ratio 3 : 2, the coordinates of point D will be :-
Simplify,
Thus , coordinate of D= (2.2,2.8)
Answer:
Step-by-step explanation:
<u>Functions have graphs or slopes.</u>
<u>This is not a function.</u>
<u>This is not on a graph or on a slope.</u>
Your answer is not a function.
(6.75/ 100) X 4.95 = .334
For one magazine the sales tax is $0.334.
Since, both magazine are of same prize. The total she paid for both magazine will be 4.95 + 0.334 + 4.95 + 0.334 = $ 10.57.
