Answer:
gog(x)=9x-16
Step-by-step explanation:
We are given g(x)=3x-4 and are asked to find (gog) (x)
gog(x)=g(g(x))
g(x)=3x-4
Hence
g(g(x))=g(3x-4)
=3(3x-4)-4
=9x-12-4
=9x-16
Hence
gog(x)=9x-16
Answer:
Noah did not make any error
Step-by-step explanation:
The median of a list of strictly increasing numbers is simply the middle number. If there's an even number of numbers in the list, then the median is the average of the middle two terms.
Here, the numbers are 115, 109, 117, 136, 127, 131. When ordered from least to greatest, we get: 109, 115, 117, 127, 131, and 136, which is what Noah got.
Since there are 6 numbers (6 is even), the median will be the average of the middle two numbers, which are 117 and 127: (117 + 127)/2 = 244/2 = 122
So, Noah was correct.
Answer:
(-2, -1)
Step-by-step explanation:
This is a quadratic equation in standard form, and a = 1, b = 4 and c = 3.
The x-coordinate of the vertex is given by the formula
-b -4
x = --------- which here has the numerical value x = -------- = -2
2a 2
Finally, we evaluate y=x^2+4x+3 at x = -2 to find the y-coordinate of the vertex:
y = (-2)^2 + 4(-2) + 3 = -1
The vertex is at (-2, -1).
Answer: each of the students took 1/4 of an eraser home.
Step-by-step explanation:
On the last period our teacher had 1/2 of an eraser left. She gave it equally to 2 students. This means that the amount of eraser that each student takes home would be
(1/2)/2 = 1/2 × 1/2 = 1/4 of an eraser. Converting to decimal, it becomes 0.25 of an eraser.
Answer:
sas
Step-by-step explanation:
