Answer:
I love algebra anyways
The ans is x=3 steps is in the picture with the ans
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
C)
The rate of change/slope is constant, when you calculate it for this problem, it doesn't change for any amount of marbles listed in the table
Answer:
![x=-2,0,3](https://tex.z-dn.net/?f=x%3D-2%2C0%2C3)
Step-by-step explanation:
We have been given a function
. We are asked to find the zeros of our given function.
To find the zeros of our given function, we will equate our given function by 0 as shown below:
![15x^3-15x^2-90x=0](https://tex.z-dn.net/?f=15x%5E3-15x%5E2-90x%3D0)
Now, we will factor our equation. We can see that all terms of our equation a common factor that is
.
Upon factoring out
, we will get:
![15x(x^2-x-6)=0](https://tex.z-dn.net/?f=15x%28x%5E2-x-6%29%3D0)
Now, we will split the middle term of our equation into parts, whose sum is
and whose product is
. We know such two numbers are
.
![15x(x^2-3x+2x-6)=0](https://tex.z-dn.net/?f=15x%28x%5E2-3x%2B2x-6%29%3D0)
![15x((x^2-3x)+(2x-6))=0](https://tex.z-dn.net/?f=15x%28%28x%5E2-3x%29%2B%282x-6%29%29%3D0)
![15x(x(x-3)+2(x-3))=0](https://tex.z-dn.net/?f=15x%28x%28x-3%29%2B2%28x-3%29%29%3D0)
![15x(x-3)(x+2)=0](https://tex.z-dn.net/?f=15x%28x-3%29%28x%2B2%29%3D0)
Now, we will use zero product property to find the zeros of our given function.
![15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0](https://tex.z-dn.net/?f=15x%3D0%5Ctext%7B%20%28or%29%20%7D%28x-3%29%3D0%5Ctext%7B%20%28or%29%20%7D%28x%2B2%29%3D0)
![15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0](https://tex.z-dn.net/?f=15x%3D0%5Ctext%7B%20%28or%29%20%7Dx-3%3D0%5Ctext%7B%20%28or%29%20%7Dx%2B2%3D0)
![\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0](https://tex.z-dn.net/?f=%5Cfrac%7B15x%7D%7B15%7D%3D%5Cfrac%7B0%7D%7B15%7D%5Ctext%7B%20%28or%29%20%7Dx-3%3D0%5Ctext%7B%20%28or%29%20%7Dx%2B2%3D0)
![x=0\text{ (or) }x=3\text{ (or) }x=-2](https://tex.z-dn.net/?f=x%3D0%5Ctext%7B%20%28or%29%20%7Dx%3D3%5Ctext%7B%20%28or%29%20%7Dx%3D-2)
Therefore, the zeros of our given function are
.
Answer:
a + c = 125 & 12a + 6c = 1140
Step-by-step explanation:
adult ticket total + child ticket total = 125 total tickets
($12 x adult ticket total) + ($6 x child ticket total) = $1140
3t=7+5=12
3t=12
t=4
6t=6×4=24
The answer is 24