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3 years ago

luke bought 6 pretzels for himself and friends he spent a total of $13.50 let p represent the price of one pretzel

Mathematics

1 answer:

brilliants [131]3 years ago

6 0

Answer:

6p=$13.50

Step-by-step explanation:

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Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that

kherson [118]

Answer:

The answer is

$f(x) = {\displaystyle 8 + \frac{-28}{1}(x+2)+\frac{-36}{2!}(x+2)^2 + \frac{-18}{3!}(x+2)^2 }$

Step-by-step explanation:

Remember that Taylor says that

$f(x) = {\displaystyle \sum\limits_{k=0}^{\infty} \frac{f^{(k)}(a) }{k!}(x-a)^k }$

For this case

$f^{(0)} (-2) = 8(-2)-3(-2)^3 = 8\\f^{(1)} (-2) = 8-3(3)(-2)^2 = -28\\f^{(2)} (-2) = -3(3)2(-2) = -36\\f^{(2)} (-2) = -3(3)2 = -18$

$f(x) = {\displaystyle 8 + \frac{-28}{1}(x+2)+\frac{-36}{2!}(x+2)^2 + \frac{-18}{3!}(x+2)^2 }$

5 0

3 years ago

Solve the system by substitution.<br> y = -7x. y = -5x + 10

ohaa [14]

Answer: (-5,35)

Step-by-step explanation:

-7x=-5x+10

Get x on one side by adding 5x

-2x=10

Simplify by dividing by -2

X=-5

Substitute into y=-7x

Y=-7(-5)

Simplify

Y=35

5 0

3 years ago

A(n) = -5 + 6(n - 1)a(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, min

DENIUS [597]

Answer:

The 12th term is 61

Step-by-step explanation:

I will assume that your a(n) = -5 + 6(n - 1) is correct; the rest is redundant (duplicative, unneeded).

To find the 12th term, substitute 12 for n in the above formula:

a(12) = -5 + 6(12 - 1) = -5 + 6(11) = 66 - 5, or 61

The 12th term is 61

6 0

3 years ago

a car covers a distance of 490 km with a speed of 70km and then covers a speed of 90km calculate its average speed

DaniilM [7]

Average speed = total distance divided by total time.

In the first part, the car covered 490 km in 7 hours, but I think you mistyped the second part (“then covers a speed of 90km”) and a critical piece is missing to find the total distance and time.

3 0

3 years ago

205 students enrolled in a freshman-level chemistry class. By the end of the semester, 4 times the number of students passed as

AlexFokin [52]

Answer: 164 students passed and 41 students failed.

Step-by-step explanation:

Let the number of students be x

x students failed, but 4 times the failed students passed.

So 4x students passed and x students failed.

4x + x = 205

5x = 205

x = 205/5

x = 41

41 times 4 is 164 and 41 times 1 is 41.

So 164 students passed and 41 students failed

3 0

2 years ago

luke bought 6 pretzels for himself and friends he spent a total of $13.50 let p represent the price of one pretzel​

luke bought 6 pretzels for himself and friends he spent a total of $13.50 let p represent the price of one pretzel