For #8, it's approximately 2.5
Answer:
See explanation
Step-by-step explanation:
You have not provided the options to help us give you a specific answer.
If a quadratic function is written in the form

Then (h,k) is the vertex, and 'a' is a constant.
For instance

has vertex at (2,3).
Also, an absolute function in the form

has vertex at (h,k).
This means

also has vertex at (1,3).
I hope this explanation is helpful.
Answer:
5256 orbits
Step-by-step explanation:
There are 8760 hours in a year, and at a rate of 0.6 orbits per hour you can find how many orbits there are per year by multiplying the rate and time like this
8760 x 0.6
This gives us an answer of 5256 which is the number of orbits per year
Answer:
y = 2
Step-by-step explanation:
I will solve this problem, using the elimination method.
-2(5x - 3y) = -11
-10x + 6y = 22
2x - 6y = -14
Subtract and divide for x
-8x = 8
x = -1
Input -1 into the equations
2(-1) - 6y = -14
-6y - 2 = -14
-6y = -12
y = 2
Thanks!
Answer:
x = 3 and x = -12
Step-by-step explanation:
To solve an absolute value equation, you create two equations, one where the right side is negated and one where the right side isn't:
| 2x + 9 | = 15 becomes:
2x + 9 = 15 and 2x + 9 = -15
2x = 6 and 2x = -24
x = 3 and x = -12
Why this works is that |-x| and |x| will both be equal to 0. Remember that absolute value is the distance a number is away from 0.