Answer:
y=2x-4
Step-by-step explanation:
Answer:
Thus last month Calvin made $414.90 from all the paintings sold at the art shows.
Step-by-step explanation:
Let us first analyse the given information in the question:
→ Small paints (lets call them 
) sell for $25.80 Per Painting, thus:
gives as the profit for number paints sold.
→ Large paints (lets call them 
) sell for $56.25 Per Painting, thus:
gives as the profit for number paints sold.
We also know last month he sold six large paintings and three small paintings thus from our variables above we can say:
Eqn(1).
Thus the total profit of all paintings sold would be:
which by pluggin in Eqn(1) values gives
Thus last month Calvin made $414.90 from all the paintings sold at the art shows.
Answer:
a) 72.25sec
b) 6.25secs
c) after 10.5secs and 2 secs
Step-by-step explanation:
Given the height reached by the rocket expressed as;
s(t)= -4t^2 + 50t - 84
At maximum height, the velocity of the rocket is zero i.e ds/dt = 0
ds/dt = -8t + 50
0 = -8t + 50
8t = 50
t = 50/8
t = 6.25secs
Hence it will reach the maximum height after 6.25secs
To get the maximum height, you will substitute t - 6.25s into the given expression
s(t)= -4t^2 + 50t - 84
s(6.25) = -4(6.25)^2 + 50(6.25) - 84
s(6.25) = -156.25 + 312.5 - 84
s(6.25) = 72.25feet
Hence the maximum height reached by the rocket is 72.25feet
The rocket will reach the ground when s(t) = 0
Substitute into the expression
s(t)= -4t^2 + 50t - 84
0 = -4t^2 + 50t - 84
4t^2 - 50t + 84 = 0
2t^2 - 25t + 42 = 0
2t^2 - 4t - 21t + 42 = 0
2t(t-2)-21(t-2) = 0
(2t - 21) (t - 2) = 0
2t - 21 = 0 and t - 2 = 0
2t = 21 and t = 2
t = 10.5 and 2
Hence the time the rocket will reach the ground are after 10.5secs and 2 secs
<h3>Answer:</h3>
right triangle
<h3>
Step-by-step explanation:</h3>
The sides of a right triangle in a simple way, so that if the lengths of any two sides are known the length of the third side can be found.
hope it helps.
Gram
miligram
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