PART A:
The table of h(t) and g(t) for the value of x between 4 and 7 inclusive are shown below.
The solution for h(x)=g(x) lies between x = 4 and x = 5, this is becuase the range of value given by h(4) and h(5) and g(4) and g(5).
The graph is shown in picture 2 to confirm this. The two functions intersect each other between x = 4 and x = 5
PART B:
The point of intersection is the point where the cannon balls will collide.
Answer: She has $15
Step-by-step explanation:
20*0.75=15
80% = $56
1% = $56/80 = $70
100% = $70 * 100 = $700
Original price = $700
Hope this helps.
:-)
Let,
digital cameras be "x"
video cameras be "y"
Now,
According to the question,
5x + 3y = $3,213..................................................equation (1)
y = 4x..................................................................equation (2)
Taking equation (1)
5x + 3y = $3,213
Substituting the value of "y" from equation (2), we get,
5x + 3(4x) = $3,213
5x + 12x = $3,213
17x = $3,213
x = $3,213 / 17
x = $189
Taking equation (2)
y = 4x
Substituting the value of "x", we get,
y = 4 ($189)
y = $756
Now,
John buys a digital and a video camera. So, it costs him ($189 + $756) = $945