The equation of a parabola with vertex at (h,k) is
y=a(x-h)²+k
vertex isi at (0,0)
y=a(x-0)²+0
y=a(x)²
y=ax²
find a
we see that one point is (14,-74)
x=14 and y=-74
-74=a(14²)
-74=196a
divide both sides by 196
-37/98=a
the equation is
Answer:
is the required inequality
Step-by-step explanation:
Let the number of songs = m.
The cost of downloading 1 songs = $1.29
So, the cost of downloading 'm' songs =
dollars
Since, the maximum amount she can spend on downloading songs is $20.
So, we get the inequality, 
Hence, the inequality representing the situation is
.
Answer:
An ice cream cone with 5 scoops cost is, $4.5
Step-by-step explanation:
As per the statement:
An ice cream stand uses the expression
to determine the cost of an ice cream cone that has x scoops of ice cream.
⇒ Cost of an ice cream cone C(x) =
.....[1]
Given: x = 5 scoops
We have to find the cost of an ice cream cone with 5 scoops cost.
Substitute the given value of x =5 in [1] we have;
C(5) = 
C(5) =
= 2 + 2.5 = $4.5
Therefore, an ice cream cone with 5 scoops cost is, $4.5
The expression is:

Why?
From the statement we know that the spaceship travels 3 times faster each minute that it traveled during the minute before, it can be expressed using an exponential function, its base will be the starting speed (during the first minute).
The expression will be:

Have a nice day!