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LiRa [457]
3 years ago
5

WILL GIVE BRAINLIEST IF CORRECT!!!

Mathematics
1 answer:
babunello [35]3 years ago
3 0

Answer:

16 total meets

Step-by-step explanation:

it would break even at 8 wins and 8 loss so add them together and get 16 total meets.

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Given the function f(x)=x^4+10x^3+35x^2+50x+24 , factor completely. Show all work and steps. Then sketch the graph.
Varvara68 [4.7K]
According to the rational root theorem, the possible rational factors, if any, of the given polynomial are the factors of 24/1=24.
Thus possible factors are
(x +/- k) where k=1,2,3,4,6,8,12,24.
Since all terms are positive, (x-k) do not exist as factors (see Descartes rule of signs) for all k.
Of the remainder, we note that the
sum of coefficients of even degree terms=1+35+24=60
sum of coefficients of odd degree terms=10+50=60
This means that (x+1) is a factor.

Divide f(x) by (x+1) =>
g(x)=f(x)/(x+1)=x^3+9x^2+26x+24 (no remainder)

We continue with x+2=0, or put x=-2 into g(x), and get
g(-2)=-8+36-52+24=0  => (x+2) is another rational factor.

Again, divide g(x) by (x+2) to get
h(x)=x^2+7x+12 (remainder=0)

We can readily factor h(x) by inspection as h(x)=(x+3)(x+4)
[from 3+4=7,3*4=12]

Therefore

f(x)=x^4+10*x^3+35*x^2+50*x+24=(x+1)(x+2)(x+3)(x+4)

6 0
3 years ago
Y=x+2 x input -2 -1 0 1 2​
Alex_Xolod [135]
As you plug in those numbers for x (from left to right) y=
0
1
2
3
4
8 0
3 years ago
By what percent will a fraction change if its numerator is decreased by 20% and its denominator is decreased by 60%?
Vedmedyk [2.9K]

Answer:

The fraction will increase by 100%

Step-by-step explanation:

Say the fraction is x/y. The question is telling us to decrease x by 20% (i.e. 0.8x) and to decrease y by 60% (i.e. 0.4y):

= \frac{0.8x}{0.4y}\\= 2 (\frac {x}{y})

You can see that by applying these changes, the new fraction is actually double the old fraction (i.e. will increase by 100%).

6 0
3 years ago
Read 2 more answers
What is the trigonometric ratio for sin C?
Vesna [10]
<h3>Answer:  9/41</h3>

==========================================================

Explanation:

We have a triangle with these three sides.

  • a = 80
  • b = unknown
  • c = 82

Use the pythagorean theorem to find b

a^2+b^2 = c^2

b = sqrt(c^2 - a^2)

b = sqrt(82^2 - 80^2)

b = sqrt(324)

b = 18

This is the missing vertical leg of the triangle. And this is also the side opposite angle C.

We have enough information to compute the sine of the angle.

sin(angle) = opposite/hypotenuse

sin(C) = AB/AC

sin(C) = 18/82

sin(C) = (9*2)/(41*2)

sin(C) = 9/41

6 0
3 years ago
What is the volume of a cube with an edge length of 3.2 meters?
Llana [10]
3,276.8 cm^3 or 32.768 m^3
3 0
3 years ago
Read 2 more answers
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