Answer:
A. The weekly usage of both coupons is decreasing and approaching a horizontal asymptote as x gets larger.
Step-by-step explanation:
You can see that f(x) is a decreasing exponential function because the base is 0.75, a value less than 1. The horizontal asymptote is 10, the constant added to the exponential term.
Obviously, g(x) is decreasing. If we assume it is an exponential function, we know there is a horizontal asymptote. (Every exponential function has a horizontal asymptote.)
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If you use your graphing calculator's exponential regression function, you can find a good model for g(x) is ...
g(x) = 950·0.7^x +12
That is, it is an exponential function that decays faster than f(x), but has a higher horizontal asymptote.
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Both functions are decreasing and approaching horizontal asymptotes.
Answer: 691
<u>Step-by-step explanation:</u>
There are 3 different ways to find the remainder. I am not sure which method you are supposed to use, so I will solve using all 3 methods.
Long Division:
<u> 10x³ + 24x² + 77x + 230 </u>
x - 3 ) 10x⁴ - 6x³ + 5x² - x + 1
- <u>(10x⁴ - 30x³) </u> ↓ ↓ ↓
24x³ + 5x² ↓ ↓
- <u>(24x³ - 72x²) </u> ↓ ↓
77x² - x ↓
- <u>(77x² - 231x) </u> ↓
230x + 1
- <u>(230x - 690)</u>
691 ← remainder
Synthetic Division:
x - 3 = 0 ⇒ x = 3
3 | 10 -6 5 -1 1
|<u> ↓ 30 72 231 690</u>
10 24 77 230 691 ← remainder
Remainder Theorem:
f(x) = 10x⁴ - 6x³ + 5x² - x + 1
f(3) = 10(3)⁴ - 6(3)³ + 5(3)² - (3) + 1
= 810 - 162 + 45 - 3 + 1
= 691
Answer:
c tomato 2.5
pepper = 3.5
Step-by-step explanation:
Let t= the price of tomato plants
p =the price of pepper plants
3t+ 4p = 21.50
5t+ 2p = 19.50
Multiply the second equation by -2
-10t -4p =-39
Add this to the first equation to eliminate p
-10t -4p =-39
3t+ 4p = 21.50
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-7t = -17.5
Divide by -7
t = 2.5
Now find p
5t+ 2p = 19.50
5( 2.5) + 2p = 19.50
12.5+2p = 19.50
Subtract 12.5 from each side
2p =7
p =3.5
We want the price of 1 tomato and 1 p
3.5+2.5
Linear Regression is an approach for modeling the relationship between a scalar dependent variable y and one or more explanatory variables denoted x. the case of one explanatory variable is called simple linear regression
