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elixir [45]
3 years ago
6

A. Factor the polynomial: x^5-4x^3+8x^2-32 b. Solve by factoring: 2x^2-3x+1=0

Mathematics
1 answer:
lawyer [7]3 years ago
7 0

Answer:

a. (x^3+8)(x^2-4)

b. x=1 and x=1/2

Step-by-step explanation:

a. (x^3+8)(x^2-4) = x^5-4x^3+8x^2-32 [foil method: first,outside,inside,last]

b. use quadratic formula: -b +/- square root b^2-4ac / 2a

2=a; -3=b; 1=c

-(-3) + square root (-3)^2 - 4(2)(1) / 2(2)

3 + 1 / 4 = 4/4 = 1

3 - 1/4 = 2/4 = 1/2

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konstantin123 [22]

Answer:

B) {-8,-2,3,4,7,11}

Step-by-step explanation:

range is y

3 0
3 years ago
Which of these functions is not a linear function? Why?
Nitella [24]

Answer:

f(x)=x3

Step-by-step explanation:

If you meant f(x)=x3 by f(x)=x^3 then that would be a cubic equation and not linear?

5 0
2 years ago
A baseball team plays in a stadium that holds 50000 spectators. When the ticket price is $10, the average attendance is 27000. W
crimeas [40]

Answer:

the answer is below

Step-by-step explanation:

Demand seems to be based on price.

Therefore we must consider two things:

that "x" is equal to the price and that "y" is equal to the average attendance.

Thus:

the two points would be:

(x1, y1) = (10,27000)

(x2, y2) = (6.39000)

The slope of a straight line is given by:

m = (y2-y1) / (x2-x1)

we replace:

m = (39000 - 27000) / (6 - 10) = 12000 / -4 = -3000

The equation of a straight line can be expressed like this

y = m * x + b.

where

m is the slope and b is the y-intercept.

we replace

y = -3000 * x + b.

To solve for b, replace x and y with the value of one of the points on the line.

We choose (6.39000). and we replace:

39000 = -3000 * 6 + b

39000 = -18000 + b

39000 + 18000 = b

b = 57000.

if we replace we have:

the equation becomes y = -3000 * x + 57000

since it is the demand and * x is the price.

t = d (x), therefore the equation becomes

d (x) = -3000 * x + 57000.

d (x) = 57000 - 3000 * x.

when x = 0, the price is 0 and the demand will be 57000, which will be more than the stadium can contain because the stadium can only contain 50,000.

So:

when x = 6, the price is 6 and the demand is 57000 - 18000 = 39000.

when x = 10, the price is 10 and the demand is 57000 - 30000 = 27000.

6 0
3 years ago
Solve division problem around answer to nearest hundredth 9.2 / 52.063
kifflom [539]
The nearest hundredth would be 0.17
8 0
3 years ago
Which of the following is the correct factorization of -y²+y+6?
SpyIntel [72]

Answer:

<h2>(−y−2)(y−3)</h2>

Step-by-step explanation:

I'm just going to factor it for you.

Factor −y^2+y+6

−y^2+y+6

=(−y−2)(y−3)

Answer:

(−y−2)(y−3)

6 0
3 years ago
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