Answer: 
Step-by-step explanation:
The quadratic equation in its standard form is:
Now, we are given 5 points of the parabola (if you graph a quadratic equation you will have a parabola), however we only need to choose three points to find the coeficients 
, 
and 
in the quadratic equation.
So, let's choose the first three points:
(-1,14):
(1)
(0,7):
(2)
(1,4):
(3)
Substituting (2) in (1) and (3):
(4)
(5)
At this point we have a system with two equations.
Adding (4) to (5):
(6)
Isolating :
(7)
Substituitng (7) in (3):
(8)
Isolating :
(9)
Now we have the three coeficients and we can write the quadratic equation:
Answer:
51
Step-by-step explanation:
Given parameters:
Number of heads = 30 heads
Number of legs = 84 legs
Unknown:
Number of chickens and pigs = ?
Solution:
Since a chicken has one head, the number of chicken is the same as the number of heads;
Number of chicken = 30
A pig has 4 legs,
Number of pigs = 
= 21pigs
Total number of pigs and chickens = 30chickens + 21 pigs = 51
Answer:
There would be 350 girls in the school.
Step-by-step explanation:
We can find this by creating two proportions. the first fraction would be the number of girls out in the sample:
7/12
The second part would be the amount of girls in the whole school. We can set the girls as x since we do not know.
x/600
Now we can set the two equal to each other and cross multiply.
7/12 = x/600
600*7 = 12*x
4200 = 12x
350 = x
9514 1404 393
Answer:
1080 minutes
Step-by-step explanation:
The greatest common factor (GCF) of the two times is 15 minutes, so their least common multiple is (120×135)/15 = 1080 minutes.
In that time, Kayla will have watched 9 shows, and Josh will have watched 8.
It will be 1080 minutes before they start again at the same time.
