Okay so basically, you subtract 18 on both sides since the 18 doesn't work, making the equation
<span>x</span>²<span> - 10x = -18
So then you add (b/2)</span>²<span>, which is 25, to both sides, to get
</span><span>x</span>²<span> - 10x + 25 = 7
</span><span>After this, you factor.
</span><span>(x-5)(x-5) = 7
</span><span>Then you simplify.
(x-5)</span>²<span> = 7
Then you solve for x.
</span>√(<span>x-5)</span>²<span> = </span>√7
x-5 = (+ or -)√7
~ x= 5 (+ or -)√7 ~
Hope this helps!
Answer:
B) x^2y + 7
Step-by-step explanation:
we are given
![2x^2y^4-10x^2y+14y^3-70](https://tex.z-dn.net/?f=2x%5E2y%5E4-10x%5E2y%2B14y%5E3-70)
We can use grouping method to factor it
![(2x^2y^4-10x^2y)+(14y^3-70)](https://tex.z-dn.net/?f=%282x%5E2y%5E4-10x%5E2y%29%2B%2814y%5E3-70%29)
![(2x^2y\times y^3-5\times 2x^2y)+(14y^3-14\times 5)](https://tex.z-dn.net/?f=%282x%5E2y%5Ctimes%20y%5E3-5%5Ctimes%202x%5E2y%29%2B%2814y%5E3-14%5Ctimes%205%29)
now, we can factor common terms
![2x^2y(y^3-5)+14(y^3-5)](https://tex.z-dn.net/?f=2x%5E2y%28y%5E3-5%29%2B14%28y%5E3-5%29)
![(y^3-5)(2x^2y+14)](https://tex.z-dn.net/?f=%28y%5E3-5%29%282x%5E2y%2B14%29)
so, we get
![2x^2y^4-10x^2y+14y^3-70=(y^3-5)(2x^2y+14)](https://tex.z-dn.net/?f=2x%5E2y%5E4-10x%5E2y%2B14y%5E3-70%3D%28y%5E3-5%29%282x%5E2y%2B14%29)
![2x^2y^4-10x^2y+14y^3-70=(y^3-5)2(x^2y+7)](https://tex.z-dn.net/?f=2x%5E2y%5E4-10x%5E2y%2B14y%5E3-70%3D%28y%5E3-5%292%28x%5E2y%2B7%29)
![2x^2y^4-10x^2y+14y^3-70=2(y^3-5)(x^2y+7)](https://tex.z-dn.net/?f=2x%5E2y%5E4-10x%5E2y%2B14y%5E3-70%3D2%28y%5E3-5%29%28x%5E2y%2B7%29)
we can see that x^2y+7 is one of factor
Answer:
you have to set each factor to 0 and solve.
Step-by-step explanation:
Using the combination formula, it is found that she can select the shirts in 775,200 ways.
The order in which the shirt are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.
Combination formula:
is the number of different combinations of x objects from a set of n elements, given by:
In this problem:
- 3 shirts from a set of 17.
- Then, 3 shirts from a set of 20.
- They are independent, hence, to find the total, we multiply both combinations.
![T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200](https://tex.z-dn.net/?f=T%20%3D%20C_%7B17%2C3%7D%20%5Ctimes%20C_%7B20%2C3%7D%20%3D%20%5Cfrac%7B17%21%7D%7B3%2114%21%7D%20%5Ctimes%20%5Cfrac%7B20%21%7D%7B3%2117%21%7D%20%3D%20680%20%5Ctimes%201140%20%3D%20775200)
She can select the shirts in 775,200 ways.
To learn more about the combination formula, you can check brainly.com/question/25821700