Answer: C
<u>Step-by-step explanation:</u>
Let x represent the first term (a₁)
a₁ = x
a₂ = x(-√2) = -x√2
a₃ = -x√2(-√2) = 2x
a₄ = 2x(-√2) = -2x√2
a₅ = -2x√2(-√2) = 4x
Since it is given the a₅ = √2, then we can solve: 4x =√2
Divide both sides by 4 to get: x = 
this can also be written as: 
Answer:
3/7
Step-by-step explanation:
1,2,3,4,5,6,7
The word problem is asking the <u>PROBABILITY</u> OF NOT SELECTING A PRIME NUMBER.
PROBABILITY: THE LIKELIHOOD OF AN EVENT.
There are 7 numbers in this data set. Of the seven numbers, four are prime numbers, three of them are not.
Therefore, the probability of not selecting a prime number is 3 in 7, or 3 out of 7 (3/7).
Answer:
45 points in round 3
Step-by-step explanation:
x + 30 + 25 = 100
combine like terms
30+25 = 55
x + 55 = 100
- 55 - 55
--------------------
x = 45
therefore, Amos scored 45 points in round 3
hope this helps! :D
have a MIRACULOUS day, and brainliest is immensely appreciated!! <3
For this case we have the following polynomial:
We make the following change of variables:
Rewriting we have
Factoring the second order polynomial we have:
Then, returning the change we have:
Finally, we factor the expression in the parentheses of the second term:
Answer:
the completely factored form is:
Given a = 3 and b = - 8 ,
= > 2b² - 4a + 4a²
= > 2( - 8 )² - 4( 3 ) + 4( 3 )²
= > 2( 64 ) - 4( 3 ) + 4( 9 )
= > 128 - 12 + 36
= > 116 + 36
= > 152
