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:
c= ab + d/ a
Step-by-step explanation:
Let's solve for c.
a(c-b)=d
Step 1: Add ab to both sides.
-ab + ac + ab = d+ ab
ac = ab + d
Step 2: Divide both sides by a.
ac / a = ab + d / a
c = ab + d/ a
Answer:
c= ab + d/ a
Hope this helps ☝️☝☝
Answer:
140
Step-by-step explanation:
so where trying to find the unknown total of coins so where gonna call that x
then we will make an equation 5% * x= 7
then to make it easier to solve we will convert 5% to a decimal .05
and finally to find the answer we will divide both sides by .05
this gives us x= 140 which is the answer
1st serving: 2/3 * 1/2 = 2/6 or 1/3
2nd serving: 1/3 * 1/2 = 1/6
3rd serving: 1/6 * 1/2 = 1/12
4th serving: 1/12 * 1/2 = 1/24
5th serving: 1/24 * 1/2 = 1/48
1/3 + 1/6 + 1/12 + 1/24 + 1/48
1/3 * 16/16 = 16/48
1/6 * 8/8 = 8/48
1/12 * 4/4 = 4/48
1/24 * 2/2 = 2/48
1/48 * 1/1 = 1/48
16/48 + 8/48 + 4/48 + 2/48 + 1/48 = 31/48
Bobby ate 31/48 of the cake in total.
PITI is an acronym that stands for principal, interest, taxes, and insurance.
