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!
Jonathan because if they both do five hours of homework Jonathan will have 3 hours of gaming while Lucas will have an hour and 50 minuets
Answer:
Smart phone sales since 1990:- linear function
Half life of a pesticide :- exponential function
Step-by-step explanation:
Linear function can be applicable in almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit, therefore smart phone sales since 1990 can be model with linear function
Exponential functions can be applicable in social, scientific, or personal finance situations such as population growth, radioactive decay and half life, therefore half life of pesticide can be model with exponential function.
If you need to put $420 this year and the law requires 12% of the income to be invested in the stock market, then you earned:
$240/0.12 = $3500 this year
So, you earned a total of $3,500 this with 12% of it invested in the stock market which is 12% of your total earnings leaving you with just $3,080
Answer:
1/12
Step-by-step explanation:
