Answer:
Zeros of a function: x = 1 and x = -10
Step-by-step explanation:
A zero of a function is the value of x when f(x) = 0. In other words it is the intersect point between x and y=f(x), when y =0.
First we need to make f(x)=0, so we would have:
.
If we factorize this quadratic function, we would have: ![(x+10)(x-1)=0](https://tex.z-dn.net/?f=%28x%2B10%29%28x-1%29%3D0)
So we get x = -10 and x = 1.
- x = 1 means that the diver hits the water 1 foot away horizontally from the board.
- x=-10 means the diver hits the water 10 feet behind the diving board.
Hope it helps!
Answer:
300 SUVs were sold.
210 Passenger cars were sold.
Step-by-step explanation:
Let S denote the amount of SUVs sold and let P denote the amount of passenger cars sold.
The total amount of vehicles sold was 510, so:
![S+P=510](https://tex.z-dn.net/?f=S%2BP%3D510)
90 more SUVs were sold than passenger cars. In other words:
![S=90+P](https://tex.z-dn.net/?f=S%3D90%2BP)
We know have a system of equations. We can solve it buy substituting the second equation into the first. Thus:
![90+P+P=510](https://tex.z-dn.net/?f=90%2BP%2BP%3D510)
Combine like terms:
![2P+90=510](https://tex.z-dn.net/?f=2P%2B90%3D510)
Subtract 90 from both sides:
![2P=420](https://tex.z-dn.net/?f=2P%3D420)
Divide both sides by 2:
![P=210](https://tex.z-dn.net/?f=P%3D210)
So, the 210 passenger cars were sold.
This means that 210+90=300 SUVs were sold.
And we're done!
Answer:
MOP=33
Step-by-step explanation:
MOP + MON = NOP
Substitute what we know
MOP = 3x-3
MON = 4x+9
NOP = 90 right angle
3x-3+4x+9 = 90
Combine like terms
7x+6 =90
Subtract 6 from each side
7x+6-6=90-6
7x = 84
Divide each side by 7
7x/7 = 84/7
x =12
We need to find MOP
MOP = 3x-3
=3(12)-3
36-3
33
X^2 + 4x + 16 is the answer
Im guessing you can make a ratio out of this, 20/2.5=x/1, 20=2.5x, x=8, so there was a degree change of 8 in one hour