Answer:
The answer is 2 x-intercepts
Step-by-step explanation:
To determine the x-intercepts we set y to zero and solve for x:
y=0
(x-8)(x+3)^2=0
The product of 2 factors is 0 means that one of them must be 0:
x-8=0 ⇒ x=8 →first x-intercept
or (x+3)^2=0 ⇒ x+3=0 ⇒ x=-3 →second x-intercept
Therefore the polynomial function two roots, so it has two x-intercepts x=8 and x=-3
Hope this helps :)
Answer:
2222
Step-by-step explanation:
2222
Is it number15?
then it is
3x = 180
x = 60
x will be 60
Answer:
![20,475\ ways](https://tex.z-dn.net/?f=20%2C475%5C%20ways)
Step-by-step explanation:
we know that
<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
To calculate combinations, we will use the formula
![C(n,r)=\frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=C%28n%2Cr%29%3D%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
where
n represents the total number of items
r represents the number of items being chosen at a time.
In this problem
![n=28\\r=4](https://tex.z-dn.net/?f=n%3D28%5C%5Cr%3D4)
substitute
![C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}](https://tex.z-dn.net/?f=C%2828%2C4%29%3D%5Cfrac%7B28%21%7D%7B4%21%2828-4%29%21%7D%5C%5C%5C%5CC%2828%2C4%29%3D%5Cfrac%7B28%21%7D%7B4%21%2824%29%21%7D)
simplify
![C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}](https://tex.z-dn.net/?f=C%2828%2C4%29%3D%5Cfrac%7B%2828%29%2827%29%2826%29%2825%29%2824%21%29%7D%7B4%21%2824%29%21%7D)
![C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}](https://tex.z-dn.net/?f=C%2828%2C4%29%3D%5Cfrac%7B%2828%29%2827%29%2826%29%2825%29%7D%7B%284%29%283%29%282%29%281%29%7D)
![C(28,4)=20,475\ ways](https://tex.z-dn.net/?f=C%2828%2C4%29%3D20%2C475%5C%20ways)
-np-4≤2(c-3)
-np-4≤2x-6
-np≤2x-2
-n≤(2x-2)/p
n≥-((2x-2)/p)