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3 years ago

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2. Divide f(x) by d(x), and write a summary statement in the form indicated. f(x) = x4 - 4x3 + 2x2 - 4x + 1; d(x) = x2 + 1 (2 po

ints) f(x) = (x2 + 1)( x2 + 4x + 1) f(x) = (x2 + 1)( x2 - 4x + 1) + 12x + 3 f(x) = (x2 + 1)( x2 + 4x + 1) + 12x + 3 f(x) = (x2 + 1)( x2 - 4x + 1)

1 answer:

andreyandreev [35.5K]3 years ago

3 0

F ( x ) : d ( x ) =
= x² + 4 x + 5
Answer:
<span>B ) f ( x ) = ( x² + 1 ) ( x² + 4 x + 5 )</span>

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How would I find a? What formula would I use?

xenn [34]

Answer:

You can use either of the following to find "a":

Pythagorean theorem
Law of Cosines

Step-by-step explanation:

It looks like you have an isosceles trapezoid with one base 12.6 ft and a height of 15 ft.

I find it reasonably convenient to find the length of x using the sine of the 70° angle:

x = (15 ft)/sin(70°)

x ≈ 15.96 ft

That is not what you asked, but this value is sufficiently different from what is marked on your diagram, that I thought it might be helpful.

__

Consider the diagram below. The relation between DE and AE can be written as ...

DE/AE = tan(70°)

AE = DE/tan(70°) = DE·tan(20°)

AE = 15·tan(20°) ≈ 5.459554

Then the length EC is ...

EC = AC - AE

EC = 6.3 - DE·tan(20°) ≈ 0.840446

Now, we can find DC using the Pythagorean theorem:

DC² = DE² + EC²

DC = √(15² +0.840446²) ≈ 15.023527

a ≈ 15.02 ft

_____

You can also make use of the Law of Cosines and the lengths x=AD and AC to find "a". (Do not round intermediate values from calculations.)

DC² = AD² + AC² - 2·AD·AC·cos(A)

a² = x² +6.3² -2·6.3x·cos(70°) ≈ 225.70635

a = √225.70635 ≈ 15.0235 . . . feet

3 0

3 years ago

What is the y-coordinate of the solution for the system of equations? x−y=−11 y+7=−2x

ICE Princess25 [194]

Answer:

$y= 5$

Step-by-step explanation:

Given the system of equations:

$x-y=-11$

$y+7=-2x$

In order to find the y coordinate of the solution we must first find the solution to this system of equations. We first start by solving one of the given equations and then substitute the answer of that into the second equation and further solve to get the final answers.

$x=y=-11$

$y+7=-2x$

$y+7=-2x$

$+ -7$

$y = -2x - 7$

$x - y = -11$

$y = -2x-7$

$x-(-2x-7)=-11$

$x--2x=x+2x=3x$

$3x+7=-11$

$-7$

$-11+-7=-18$

$3x=-18$

$\div3$

$-18\div3=-6$

$x=-6$

$y=-2x-7$

$y=(-2)(-6)-7$

$-2\times-6=12-7=5$

$y=5$

Hope this helps.

7 0

2 years ago

List some values that would make this inequality -2x>10

aleksklad [387]

Answer:

-6,-9,-20,-25.

Step-by-step explanation:

You need to multiply a negative to make it positive as a negative multiplied by a negative equals a positive. But anything besides -1,-2,-3,-4,-5 and all positves can be placed.

8 0

2 years ago

Jeff worked 4 2/3 hours in the morning and 3 3/4 hours in the afternoon. How many total hours did he work today?

Rainbow [258]

If you would like to know how many total hours did Jeff work today, you can calculate this using the following steps:

4 2/3 hours in the morning + 3 3/4 hours in the afternoon = 4 2/3 + 3 3/4 = 14/3 + 15/4 = 56/12 + 45/12 = (56 + 45) / 12 = 101/12 = 8 5/12 hours

Jeff worked 8 5/12 hours in total.

7 0

3 years ago

Can someone help me out please!?

Nezavi [6.7K]

48 on call = 3.5 hours for 10 dollars = 1/2 hours for 1.5

6 0

3 years ago