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Tresset [83]
4 years ago
6

Which inequality best represents the situation? A pine tree grows at a rate of 1.5 feet per year. James plants a 2-foot tall pin

e tree in his yard. How many years will it take for the tree to be at least 14 feet tall? A. 2x + 1.5 ≥ 14 B. 2x – 1.5 ≤ 14 C. 1.5x + 2 ≥ 14 D. 1.5x – 2 ≤ 14
Mathematics
2 answers:
Aloiza [94]4 years ago
5 0
The answer is C. because 1.5 is the height while x is next to it to show the multiplication of years to height
Lelu [443]4 years ago
3 0

 it grows 1.5 feet per year so multiply that by number of years (x)

1.5x

 it started at 2 feet tall

 so you would have 1.5x +2 ≥14

 Answer is C. 1.5x + 2 ≥ 14

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Enter the coefficients of the fifth Taylor polynomial T5(x) for the function f(x) = x5−3x4+2x2+5x−2 based at b=1. T5(x)= + (x−1)
DENIUS [597]

Compute the necessary values/derivatives of f(x) at x=1:

f(1)=3

f'(1)=2

f''(1)=-12

f'''(1)=-12

f^{(4)}(1)=48

f^{(5)}(1)=120

Taylor's theorem then says we can "approximate" (in quotes because the Taylor polynomial for a polynomial is another, exact polynomial) f(x) at x=1 by

T_5(x)=\dfrac3{0!}+\dfrac2{1!}(x-1)-\dfrac{12}{2!}(x-1)^2-\dfrac{12}{3!}(x-1)^3+\dfrac{48}{4!}(x-1)^4+\dfrac{120}{5!}(x-1)^5

T_5(x)=3+2(x-1)-6(x-1)^2-2(x-1)^3+2(x-1)^4+(x-1)^5

###

Another way of doing this would be to solve for the coefficients a,b,c,d,e,g in

f(x)=a+b(x-1)+c(x-1)^2+d(x-1)^3+e(x-1)^4+g(x-1)^5

by expanding the right hand side and matching up terms with the same power of x.

5 0
3 years ago
What is the value of y in the equation 6 + y = −3?
oee [108]
The value of y is -9
6 0
4 years ago
Marla writes this problem: 628 divided by 1300 Which expressions represent Marla's problem? Select each correct answer.
Dafna1 [17]
Are there any answer choices sorry for the wait as well lunch time
6 0
4 years ago
Read 2 more answers
Mandy and Jordan each bought some of the same notebooks and the same three-ring binder. Mandy paid $5.85 for 3 notebooks and 1 b
skelet666 [1.2K]
1 notebook costs $3.45

let's turn this into 2 equations, n being notebook price, and b being binder price ->

mandy -> 3n + b = 5.85
jordan -> 2n + b = 4.65

we need to take one equation, simplify for b, and plug it into the other equation, let's take jordan's equation for this ->

b = 4.65 - 2n

plug it into mandy's equation

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simpify until you get n = 1.20
take this and plug it back into jordan's equation ->

2(1.20) + b = 4.65
simplify until you get b = 2.25
plus this value into mnady's equation ->

3n + (2.25) = 5.85
simplify until you get that n = 2.25
3 0
3 years ago
Read 2 more answers
Which of the following is less than 527 m?
Andru [333]
1m = 100cm = 1000mm = 1,000,000,000nm
1Mm = 1,000,000m

A. 0.000699 Mm = 0.000699 · 1,000,000 m = 699 m

B. 914,879,710 nm = (914,879,710 : 1,000,000,000) m = 0.914879710 m

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Answer: C. 51,723 cm = 517.23 m ≈ 527 m
8 0
3 years ago
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