Given:
The parent function is
To find:
The function after the reflection over the x-axis.
Solution:
We know that, if a function f(x) reflected over x-axis to get the function g(x), then
Putting , we get
The function after the reflection over the x-axis is .
Therefore, the correct option is B.
-5.8 + (-2.5) = -8.3
since both the number are negative you simply add the numbers and use the negative sign.
X+8>= 18
therefore, the circle has to be on ten, (solid) and an arrow pointing to the right,
10+8>=18 which is true.
-7+x>= -8
the circle is going to be on -1, (solid) and pointing to the right.
-7 +-1 (-8) >=-8 which is true, then -7 +0>= -8 which is true
n-2<=4 so, the answer is a dot (solid) on 6 pointing to the left
6-2 (4) <=4 then 5-2 (3) <= 4 which both are true
-18+n<-7
so this answer is going to be on 10, and it will be a hollow dot, pointing to the left
-18+10 (-8) <-7 which is true
n-4>=13
so, this has to be greater than or equal to 13.
n must be greater than or equal to 17 (add 4 to both sides) so the dot (solid) is going to be on 17 and pointing to the right.
NOTICE: I had a different explanation for number 9, which is how I figured each one out.
Hope this helped! Sorry it took so long!
Answer: See explanation
Step-by-step explanation:
Your question isn't really clear. Let me help you rephrase it and solve.
Let's say Cesar is creating a schedule to practice his instrument for band. He needs to practice for a total of 10 hours in a week. On Monday he practice for 1 1/2 hours, on Tuesday he practiced for 2 1/4 hours, and on Wednesday he practiced for 1 1/2 hours.
The total hours that Cesar has used in practicing will be:
= 1 1/2 + 2 1/4 + 1 1/2
= 5 1/4
To get the number of hours that Cesar need to practice during the rest of the week in order to have his 10 total hours, we subtract 5 1/4 hours from 10 hours. This will be:
= 10 - 5 1/4
= 4 3/4 hours.
Cesar needs to practice for 4 3/4 hours more.
Answer:
x²/9 − (y + 1)²/81 = 1
Step-by-step explanation:
-2y − 82 + 9x² = y²
9x² = y² + 2y + 82
9x² = y² + 2y + 1 + 81
9x² = (y + 1)² + 81
9x² − (y + 1)² = 81
x²/9 − (y + 1)²/81 = 1