So for the first one you would replace Y with what it = which in this case is -x+7So it would look something like this
-x+7=-x+7
Answer:
root 30
Step-by-step explanation:
10/x=x/3
x^2=30
x= root 30
Answer:
Step-by-step explanation:
Assuming the rate of increase in the cost of tuition fee per year is linear. We would apply the formula for determining the nth term of an arithmetic sequence which is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = $20500(amount in 2000)
From 2000 to 2018, the number of terms is 19, hence,
n = 19
T19 = 454120
Therefore,
454120 = 20500 + (19 - 1)d
454120 - 20500 = 18d
18d = 433620
d = 433620/18
d = 24090
Therefore, the equation that can be used to find the tuition y for x years after 2000 is expressed as
y = 20500 + 24090(x - 1)
To to estimate the tuition at this college in 2020, the number of terms between 2000 and 2020 is 21, hence
x = 21
y = 20500 + 24090(21 - 1)
y = 20500 + 481800
y = $502300
Answer: c
Step-by-step explanation:
The two points on the line are open, so they will not be included in the solution set, which means they will be greater than or less than. No number can fit both inequalities, so it must be “or”. The only one that fits this is c.
Answer:
the maximum height of the ball= 256 feet
7 seconds
Step-by-step explanation:
The quadratic function h ( t ) = − 16t^2 + 96t + 112 models the ball's height about the ground, h ( t ) , in feet, t seconds after it was thrown.
a= -16 , b= 96 and c= 112
To find maximum height , we find vertex
Now plug in 3 for 't' in h(t)
Hence vertex is (3, 256)
the maximum height of the ball= 256 feet
(b) when the ball hits the ground then height becomes 0
so we plug in 0 for h(t) and solve for t
Apply quadratic formula
Plug in all the values a= -16 , b= 96 and c= 112
t= -1 and t= 7
time cannot be negative. So it will take 7 second to hit the ground.
