Answer:
2x^4+4x^2+2
Step-by-step explanation:
f(x) = x^2+1
g(x) = 2x^2
g(f(x))=
Replace x in the function g(x) with the function f(x)
=2( x^2+1)^2
= 2( x^2 +2x^2 +1)
= 2x^4+4x^2+2
A) 40 out of 100 are red.
The probability would be 40/100, which reduces to 2/5
B) 40 out of the 100 are purple.
The probability would be 40/100, which reduces to 2/5
C) the two probabilities are the same.
Answer:
The statement is true.
Step-by-step explanation:
Let us assume that x is the required number.
Now, given that the number minus 3 is at most 12.
Hence, x - 3 ≤ 12
⇒ x ≤ 15 ......... (1)
And also given that 1 more than 2 times the number is at least 25.
Hence, 2x + 1 ≥ 25
⇒ 2x ≥ 24
⇒ x ≥ 12 .......... (2)
Therefore, from equations (1) and (2) we get the number must be greater than or equal to 12 or less than or equal to 15.
So, the statement is true. (Answer)
Answer:
-2
Step-by-step explanation:
1) Look at the y-intercept. The line crosses the y-axis at (0,7)
Follow it down, it goes down two and over one to directly intersect the grid.
Rise over run = 2/1
2/1 = 2
However, the line is negative, as it's sloping down from the left to the right, making the slope -2
