The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).
<h3>What is the parabola?</h3>
It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.
The function f(x) = 5x² + 40x
Then add and subtract 80, then we have
f(x) = 5x² + 40x + 80 – 80
f(x) = 5(x² + 8x + 16) – 80
f(x) = 5(x + 4)² – 80
The vertex of the parabola will be at (–4, –80).
More about the parabola link is given below.
brainly.com/question/8495504
Velocity=distance/time
v=d/t
So in this case:
v=(3mi/5)/(3hr/8) that's the equation you need to solve.
v=(3m/5)*(8/3hr)
8/5 mph=(3m/5)*(8/3hr)
1 3/5 mph= (3/5)/(3/8)
So the first statement is correct.
Answer:
-6.20x-6.20y=-948.6
add this to equation 2
6.20x-6.20x +9.30y-6.20y=1125.30-948.60
3.10y= 176.70
/3.10
y=176.70/3.10
y = 57 number of adult tickets
153-57=96 child tickets
Step-by-step explanation:
child admission is $6.20 : x numbers
adult admission is $9.30 : y numbers
153 tickets were sold
sales of $1125.30 .
x+y = 153.........................1
6.20x+9.30y= 1125.30..............2
Answer:
- Tadeo: 12 hours
- Dylan: 2 hours
Step-by-step explanation:
We can let d represent the number of hours that Dylan volunteered. Then Tadeo volunteered for 6d hours, and their total hours were ...
d +6d = 14
7d = 14 . . . . . . collect terms
d = 2 . . . . . . . divide by the coefficient of d
6d = 6(2) = 12
Tadeo volunteered 12 hours; Dylan volunteered 2 hours.