Answer:
<h3>3 secs</h3>
Step-by-step explanation:
Given the height of the object as it drops from the observation deck expressed as;
h= -16t^2+152
To determine the the time it will take the object to be 8 feet above the valley floor, we will substitute h = 8 into the equation and calculate t as shown;
8 = -16t^2+152
subtract 8 from both sides
8-8 = -16t^2+152-8
0 = -16t^2+144
0-144 = -16t^2
-144 = -16t^2
16t^2 = 144
Divide both sides by 16;
16t^2/16 = 144/16
t^2 = 9
t = √9
t = 3seconds
Hence it will take 3 seconds for the object to be 8 feet above the valley floor
Answer:
p=-9
Step-by-step explanation:
13p+42=-57+2p
Subtract 2p from each side
13p-2p+42=-57+2p-2p
11p +42 = -57
Subtract 42 from each side
11p+42-42=-57-42
11p = -99
Divide each side by 11
11p/11 = -99/11
p = -9
748 student tickets were sold.
Step-by-step explanation:
Given,
Number of tickets sold = 1360
Revenue generated = $13328
Cost of each student ticket = $8
Cost of each non student ticket = $12
Let,
x be the number of student tickets sold
y be the number of non student tickets sold
According to given statement;
x+y=1360 Eqn 1
8x+12y=13328 Eqn 2
Multiplying Eqn 1 by 12

Subtracting Eqn 2 from Eqn 3

Dividing both sides by 4

748 student tickets were sold.
Keywords: linear equation, elimination method
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The graph that shows f(c)=0.5|x+3|-2 has been added in the attachment.
<h3>How to solve for the graph</h3>
We are given the equation to be f(x) = 0.5|x + 3| – 2
This equation above is an absolute value equation that was entered into a graphing calculator
The absolute value equation is represented by the values
f(x) = a|x - h| + k
in the equation above, h and k are the vertex of the graph
when we compare the absolute value equation with the equation we have in the question, we would have h = +3 and k = -2
Hence we would say that the vertex is 3 , -2.
When the graph was plotted, the vertex is the point that shows that meeting at a point in the point 3, - 2 are shown as the vertex also
Read more on graphs here
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