Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equation:
![35M = 1015](https://tex.z-dn.net/?f=35M%20%3D%201015)
where
is the number of months that Rachel has saved up money.
Dividing both sides by 35, we get the answer:
![M = 29](https://tex.z-dn.net/?f=M%20%3D%2029)
Answer:
The value of ![gof (-2)=79](https://tex.z-dn.net/?f=gof%20%28-2%29%3D79)
Step-by-step explanation:
We have
![f(x) = x^2 -5x +1 \\\\f(-2) = (-2)^2 -5\times-2 +1 \\\\=15](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%20-5x%20%2B1%20%5C%5C%5C%5Cf%28-2%29%20%3D%20%28-2%29%5E2%20-5%5Ctimes-2%20%2B1%20%5C%5C%5C%5C%3D15)
Now we need to find
![gof (-2)=g(15)](https://tex.z-dn.net/?f=gof%20%28-2%29%3Dg%2815%29)
![g(15) =5\times15+4\\\\=79](https://tex.z-dn.net/?f=g%2815%29%20%3D5%5Ctimes15%2B4%5C%5C%5C%5C%3D79)
Step-by-step explanation:
Hey, there!
Here,
Given that:
![= 25 {x}^{2} - 4](https://tex.z-dn.net/?f=%20%3D%2025%20%7Bx%7D%5E%7B2%7D%20%20-%204)
we need to find factor,
As it is in a^2-b^2 form as per its factor (a+b) (a-b), keeping same formula here,
25x^2 means (5x)^2
and 4 means 2^2
Now, it would be,
![= ( {5x)}^{2} - {2}^{2}](https://tex.z-dn.net/?f=%20%3D%20%28%20%7B5x%29%7D%5E%7B2%7D%20%20-%20%20%7B2%7D%5E%7B2%7D%20)
![= (5x + 2)(5x - 2)](https://tex.z-dn.net/?f=%20%3D%20%285x%20%2B%202%29%285x%20-%202%29)
Therefore, it's factor would be (5x+2)(5x-2).
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
StartFraction 24 Over 65 EndFraction
Step-by-step explanation:
Total number of students = 26
Number of boys = 10
Number of girls = 26-10
=16
Eduardo has to pull two names out of the hat without replacing them.
First name
Probability= Favourable outcome/Total outcome
Probability of girls=16
Total probability=26
Eduardo has to pull two names out of the hat without replacing them.
Probability= Favourable outcome/Total outcome
=16/26
=8/13
For the second name:
Without replacement of the first hat
Probability of girls=16-1=15
Total probability=26-1=25
Probability= Favourable outcome/Total outcome
=15/25
=3/5
Probability of both of Eduardo's partner for the group project will be girls=8/13*3/5
=24/65
StartFraction 24 Over 65 EndFraction