I think it’s 3.2 but I don’t know
Answer:
g(x) = 3 cos (x+2)
Step-by-step explanation:
To transform functions use the following formula f(x) = a cos b(x -c) + d where:
- a stretches the function vertically
- b compresses or stretches it horizontally
- c shifts the function left or right
- d shifts the function up or down
Here a = 3 and c = 2.
So the new function is g(x) = 3 cos (x+2).
Answer: The steak costs $ 7.67.
Step-by-step explanation:
Given: Cost per pound of Rib-eye steaks = $8.52
Ms. Markum bought a 0.9-pound steak.
To find : cost of 0.9 pound steak =
Then cost of 0.9 pound steak = 0.9 x (Cost per pound of Rib-eye steaks )
= $ (0.9 x 8.52)
= $7.668 ≈ $ 7.67
Hence, the steak costs $ 7.67.
Answer:
an = 115 + (n - 1) (-6)
a25 = - 29
Step-by-step explanation:
We use the definition for the nth term of an arithmetic sequence:
an = a1 + (n - 1) d
a5 = 91 = a1 + (5 - 1) d
91 = a1 + 4 d
a20 = 1 = a1 + (20 - 1) d = a1 + 19 d
1 = a1 + 19 d
now we subtract term by term one expression from the other
90 = 4 d - 19 d
90 = - 15 d
divide both sides by -15 to isolate d
d = 90 / (-15) = -6
Now we can calculate what a1 is using for example:
1 = a1 + 19 d
1 = a1 - 114
add 114 to both sides:
115 = a1
Then our general expression for the sequence is:
an = 115 + (n - 1) (-6)
We can now use it to calculate the value of a25:
a25 = 115 + (24) * (-6) = -29
Answer:
Not exactly sure what "funny numbers" are but I'm assuming you mean prime numbers? In that case there are a total of 7 prime numbers between 30 and 60.
Step-by-step explanation: