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3 years ago

Solve the following polynomial function. y=x^4−21x^2−100

Mathematics

1 answer:

Alexxandr [17]3 years ago

5 0

Answer:

y= x⁴ -21x²-100

combine x's I think

x⁴= 1x? cuz if it's 1x⁴ that's 1x*1x*1x*1x = 1x

1x * -21x²

-21x * -21x = 441x

+1x = 442x

y= 442x -100

I'm not sure if I did that right

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A 10ft pole is to be erected and held in the ground by four wires attached at the top. The guy wires are attached to the ground

ad-work [718]

The pole, guy wire and ground forms a right angled triangle with the guy wire being the hypotenuse.
Legs = 10 ft and 15 ft.

The length of guys wire = Sqrt (10^2+15^2) = $5 \sqrt{13}$ ≈18.03 ft

A total of 4 guy wires.
Te total length required = 4* $5\sqrt{13}$ ≈ 72.11 ft.

Since wire cannot be bought in fractions of foot, the length is rounded to the next whole number. That is,

Length required = 73 ft.

6 0

3 years ago

Suzanne has one 10p coin one 50p coin and some 20p coins altogether she has £1.40 how many 20p coins does she have

mash [69]

Answer:

She has FOUR 20p coins altogether.

Step-by-step explanation:

1.40-0.10-0.50=0.8

0.8/0.2=4

6 0

3 years ago

Find the inverse for 43 modulo 660

Tatiana [17]

We're looking for $x$ such that

$43x\equiv1\mod{660}$

so for some integer $n$ we can write

$43x+660n=1$

Apply Euclid's algorithm:

$660=43(15)+15$
$43=15(2)+13$
$15=13(1)+2$
$13=2(6)+1$
$\implies(660,43)=(43,15)=(15,13)=(13,2)=1$

From this we have

$1=13-2(6)$
$\implies1=-6(15)+7(13)$
$\implies1=-20(15)+7(43)$
$\implies1=-20(660)+307(43)$
$\implies(-20(660)+307(43))\equiv307(43)\equiv1\mod{660}$

which means 307 is the inverse of 43 modulo 660.

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4 years ago

There are 8 marbles in a bag. Each marble is a different color. The colors are: red, orange, yellow, green, blue, purple, black,

saveliy_v [14]

Answer:

B. 1/56

Explanation:

There are 8 different marbles. In the first draw, you have a one out of 8 chance of getting the red. In the second draw, there are 7 marbles remaining, so a one out of 7 chance of drawing a white marble. To find the total probability of drawing the red and then white marble, we multiply the probabilities if each draw.

(1/8)*(1/7)=1/56

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4 years ago

Determine whether the function ƒ(x) = x(x3 − x) is even, odd or neither.

Nataly_w [17]

If its even the f(x) = f(-x)

f(-x) = -x ((-x)^3 + x) = x^4 - x^2

f(x) = x^4 - x^2

So the function is even

6 0

3 years ago