Answer: A) x + 4x = 35; 7 large stones and 28 small stones
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Explanation:
x = number of large stones
4x = number of small stones
x+4x = total number of stones = 35
x+4x = 35 is the equation to solve
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Let's isolate x
x+4x = 35
5x = 35
x = 35/5
x = 7 large stones are needed
4x = 4*7 = 28 small stones are needed
Answer:
g(10) = -37
Step-by-step explanation:
g(x)= -4x+3
g(1) means evaluate when x=10
g(10) = -4*10 +3
g(10) = -4*10 +3
g(10) = -40+3
g(10) = -37
Answer:
Step-by-step explanation:
+ we take t- number of tickets and each ticket cost $7.
So t is too the number of people who buy tickets, then
A) We can calculate the amount of money: M= 7t where
B) The domain for t is , t is an integer.
C) The range for the amount M:
Answer:
The answer is 113
Step-by-step explanation:
6^2 + 7(3^2 + 8 - 6)
36 + 7(9 + 8 - 6)
36 + 7(11)
36 + 77
113
<span>The maxima of a differential equation can be obtained by
getting the 1st derivate dx/dy and equating it to 0.</span>
<span>Given the equation h = - 2 t^2 + 12 t , taking the 1st derivative
result in:</span>
dh = - 4 t dt + 12 dt
<span>dh / dt = 0 = - 4 t + 12 calculating
for t:</span>
t = -12 / - 4
t = 3
s
Therefore the maximum height obtained is calculated by
plugging in the value of t in the given equation.
h = -2 (3)^2 + 12 (3)
h =
18 m
This problem can also be solved graphically by plotting t
(x-axis) against h (y-axis). Then assigning values to t and calculate for h and
plot it in the graph to see the point in which the peak is obtained. Therefore
the answer to this is:
<span>The ball reaches a maximum height of 18
meters. The maximum of h(t) can be found both graphically or algebraically, and
lies at (3,18). The x-coordinate, 3, is the time in seconds it takes the ball
to reach maximum height, and the y-coordinate, 18, is the max height in meters.</span>
