Answer:
Step-by-step explanation:
Let
y ----> the total cost for renting the popcorn machine
x ----> the time in hours
we know that
The total cost of renting a popcorn machine for 6 hours is $48
so
using proportion
Find out the total cost for renting the popcorn machine for x hours
Is a linear direct variation
The constant of proportionality or slope is equal to
That means ----> the total cost is $8 per hour
Let Cynthia's age be C, then Abigail's age A
since Abigail is 8 years older, her age A = C+8.
20 years ago Cynthia's she was C-20 and Abigail was A-20=3(C-20)
A-20=3C-60
A=3C-40
but we just said A=C+8
so 3C-40=C+8
2C=48
C=24
A=24+8=32
Cynthia's age is 24 and Abigail's age is 32
Hey! First of all, you can express x squared as x^2.
Secondly, the problem! I'm assuming you're asking for the values of x - if you're asking what the equation is, it's a quadratic equation, or a second-degree polynomial. Solving for x, this equation can be factored as (x-4)(x+1)=0. Because either of these two terms being zero will make the whole equation zero, we can have x-4=0, in which case x=4, or x+1=0, in which case x=-1. Therefore, x is either 4 or -1
Step-by-step explanation:
Use Pythagorean Theorem to find the missing side
a = q
b = e
c = c
So,
to
which equals 
and
m∠Q + m∠E+ m∠C = 180° ( which is m∠A + m∠B + m∠C= 180°)
find all the sides so when they are all added together they equal 180°
Sorry, I couldn't give you the answer but I hope this helped?
Answer:
roots at (-2,0) and (2,0)
vertex (maximum) at (0,4)
Step-by-step explanation:
