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USPshnik [31]
2 years ago
8

Derek's truck used 8 gallons of gasoline to travel 320

Mathematics
2 answers:
OleMash [197]2 years ago
7 0

Answer:

40 miles

Step-by-step explanation:

320/8=40 miles

madam [21]2 years ago
5 0

Answer:

40 miles

Step-by-step explanation:

8 gallons = 320 miles

1 = ?

320 miles / 8 gallons = 40

Derek's truck can drive 40 miles on 1 gallon

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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
RUDIKE [14]

The taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Given a function f(x)=9/x,a=-4.

We are required to find the taylor series for the function f(x)=8/x centered at the given value of a and a=-4.

The taylor series of a function f(x)=f(a)+f^{1}(a)(x-a)/1!+ f^{11}(a)(x-a)^{2} /2! +f^{111}(a)(x-a)a^{3}/3!+..........

Where the terms in f prime f^{1}(a) represent the derivatives of x valued at a.

For the given function.f(x)=8/x and a=-4.

So,f(a)=f(-4)=8/(-4)=-2.

f^{1}(a)=f^{1}(-4)=-8/(-4)^{2}

=-8/16

=-1/2

The series of f(x) is as under:

f(x)=f(-4)+f^{1}(-4)(x+4)/1!+  f^{11}(-4)(x+4)^{2}/2!.............

=8/(-4)-8/(-4)^{2} (-4)(x+4)/1!+  24/(-4)^{3} (-4)(x+4)^{2}/2!.............

=-2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Hence the taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 (x+4)^{2}/2!+...........

Learn more about taylor series at brainly.com/question/23334489

#SPJ4

3 0
1 year ago
Please help graph below | What is the slope of this line?
ehidna [41]

The slope is 0 because there is no slope it is not pointing up nor is it down. It is just a straight line. I hope this helps!! Have a nice day!!

4 0
2 years ago
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The graph above represents the following polynomial function.
Korvikt [17]

Answer:

C. 0, -1, 3

Step-by-step explanation:

Note: There is no graph. I assume you mean "zeroes/roots" by "solutions".

x(x^2-2x-3)=0

/(x^2-2x-3)

x=0


x^2-2x-3 = x^2+x-3x-3 = x(x+1) + ( -3(x+1) = (x-3)(x+1)

/(x-3) --> x +1 =0, x=-1

/(x+1) --> x-3 = 0, x=3


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Answer:

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Step-by-step explanation:

area/length = width

(x^2+9x+14) / (x+7) =?

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The Goodsmell perfume company has a new line of perfume and is designing a new bottle for it. Because of
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