Answer:
2(x+1)²-3
Step-by-step explanation:
Using the vertex formula we can write the follwoing equation
y=a(x+1)²-3
We need to solve for a
we know that when x= 2 y = 15
So we can write
15=a(2+1)²-3
15=9a-3
18=9a
a=2
Which means our final equation is
2(x+1)²-3
in standard form (just in case)
2x²+4x-1
Answer:
Step-by-step explanation:
C
Answer:

Step-by-step explanation:

Lets expand all the composite numbers into prime numbers.

Lets cancel
from numerator and denominator.

Using laws of exponents , lets solve this.


![=> 3^{-3} \times 5^{[1 - (-2)]}](https://tex.z-dn.net/?f=%3D%3E%203%5E%7B-3%7D%20%5Ctimes%205%5E%7B%5B1%20-%20%28-2%29%5D%7D)


The associative property of addition is shown in equations where the order in which the evaluation is made does not change the result, providing the numbers remain in the same order. Option B demonstrates this.
The probability of choosing two yellow marbles = 5/26
Step-by-step explanation:
Step 1 :
Given
Total number of marbles in the bag = 13 marbles
Number of yellow marbles = 6.
We choose 2 marbles from the bag without replacing and need to determine the probability that both are yellow.
Step 2 :
Probability of finding yellow marble in the first try = Number of yellow marbles / Total number of marbles = 
Once the yellow marble is selected we have 5 yellow marbles among 12 remaining marbles in the bag.
Probability of finding yellow marble in the second try = Number of yellow marbles / Total number of marbles = 
Step 3:
P(yellow in first 2 tries) = P(yellow in first try) * P(yellow in second try)
P(yellow in first 2 tries) =
= 
Step 4:
Answer:
The probability of choosing two yellow marbles = 5/26