Answer:
y=tanx+C
Step-by-step explanation:
Answer:
10 is the base number, and 5 is the exponent
Step-by-step explanation:
Answer:
38 or 38.33 cups of water.
Step-by-step explanation:
You need 5 cups of water for every 3 ounces of medication. We can set up a proportion: #oz of medication/#cups of water= #oz of medication/# cups of water. We can plug in some numbers from the problem.
3/5=23/n. You can use any variable, but I'm using n for how many cups of water Jim will need for 23 ounces of medication.
We can cross multiply: 3*n=5*23.
3n=115
We divide both sides by 3.
n=38.3333333.......
Rounding to the nearest whole number, Jim will need 38 cups of water, or 38.33 cups if you're rounding to the nearest hundredth.
Hope this helps :)
Answer:
#1. x = -1
Answer = 8
#2. x = 1/5
Answer = 344/25
#3. x = 14
Answer = 13328
Step-by-step explanation:
#1. a. plug in -1
f(-1)= (5(-1)^3) - (2(-1)^2 - (-1) + 14
b. Solve the exponents.
(5(-1)^3)
(5x-1)
(-5) - (2(-1)^2) - (-1) + 14
(2(-1)^2)
(2x1)
(-5) - (2) - (-1) +14
c. simplify.
(-5) - (2) + 1 + 14
-7 + 15
8
#2.
f(1/5)= (5(1/5)^3) - (2(1/5)^2 - (1/5) + 14
(5(1/5)^3)
(5 x 1/125)
(1/25) - (2(1/5)^2)
(2 x 1/25)
(2/25)
(1/25) - (2/25) - (1/5) +14
(-1/25) - (1/5) +14
Note: (1/5) turns into (5/25) so it can be subtracted.
-6/25 + 14
Note: 14 turns into 350/25 so it can be added.
350/25 - 6/25 = 344/25
#3.
f(14)= (5(14)^3) - (2(14)^2 - (14) + 14
Note: Normally you do the exponents first but I'm just going to casually take out the two 14s at the end cause they cancel each other out.
f(14)= (5(14)^3) - (2(14)^2)
( 5 (14^3))
(5 x 2744)
(13720) - (2(14^2))
(2 (14^2))
(2x196)
392
(13720) - 392
13328
Good Luck!
Answer: First Option
Walter needs to make at least 5 more cookies but no more than 40
Step-by-step explanation:
If we call x the number of cookies that Walter needs to make, then we know that the amount of cookies will be:
Then this amount must be greater than or equal to 20 and must be less than or equal to 55 then.
and 
This is:
We solve the inequality for x.
Then the amount of cookies that Walter must make must be greater than or equal to 5 and less than or equal to 40
