Answer:
Shifted down 7 unites, vertical stretch, reflected about the y-axis.
Step-by-step explanation:
Answer:
<h3>A) 204m</h3><h3>B) 188m</h3>
Step-by-step explanation:
Given the rocket's height above the surface of the lake given by the function h(t) = -16t^2 + 96t + 60
The velocity of the rocket at its maximum height is zero
v = dh/dt = -32t + 96t
At the maximum height, v = 0
0 = -32t + 96t
32t = 96
t = 96/32
t = 3secs
Substitute t = 3 into the modeled function to get the maximum height
h(3) = -16(3)^2 + 96(3) + 60
h(3) = -16(9)+ 288 + 60
h(3) = -144+ 288 + 60
h(3) = 144 + 60
h(3) = 204
Hence the maximum height reached by the rocket is 204m
Get the height after 2 secs
h(t) = -16t^2 + 96t + 60
when t = 2
h(2) = -16(2)^2 + 96(2) + 60
h(2) = -64+ 192+ 60
h(2) = -4 + 192
h(2) = 188m
Hence the height of the rocket after 2 secs is 188m
Answer:
Scott eats 1/4 of the pizza.
Step-by-step explanation:
Each person (Joe and Scott) will have one half of the pizza. Scott eats only half of his share. What is shaded in the picture is what he eats.
The slope of the line <span>x=1</span><span> does not exist. Because there are no tow points with different </span>x<span> values on the line.</span>
It is not defined.
<span>This case is not includes in the definition of slope.</span>
Answer:
Each oven is discounted by $20.
Step-by-step explanation:
Original price of oven in dollars = 
To find total cost for 9 such ovens without discount we will apply unitary method.
If 1 oven costs in dollars = 
Then 9 ovens will cost in dollars = 
The ovens are purchased by a restaurant supplier at some discounted price.
The new price after discount in dollars = 
We see that the total cost of 9 ovens which was originally
has been decreased to
after discount.
The decrease amount is the discount amount on 9 ovens which is = $180
To find discount offered on each oven, we will again use unitary method.
Discount on 9 ovens = $180
∴ Discount on 1 oven = 
∴ Each oven is discounted by $20.