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2 years ago

HELP ME THIS IS DUE TMR

Mathematics

1 answer:

Amanda [17]2 years ago

7 0

Answer:

Rational, irrational, irrational, rational.

Step-by-step explanation:

It's a negative number.

It repeats forever

It's equivalent to 8

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Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po

jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

Step-by-step explanation:

The given equation is

$x^3-21x=-20$

It can be written as

$x^3+0x^2-21x+20=0$

Splitting the middle terms, we get

$x^3-x^2+x^2-x-20x+20=0$

$x^2(x-1)+x(x-1)-20(x-1)=0$

$(x-1)(x^2+x-20)=0$

Splitting the middle terms, we get

$(x-1)(x^2+5x-4x-20)=0$

$(x-1)(x(x+5)-4(x+5))=0$

$(x-1)(x+5)(x-4)=0$

Using zero product property, we get

$x-1=0\Rightarrow x=1$

$x-4=0\Rightarrow x=4$

$x+5=0\Rightarrow x=-5$

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

$x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}$

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

3 0

3 years ago

A pool in the shape of a rectangular prism is being filled with water. The length and width of the pool is 24 feet and 15 feet.

Zina [86]

478.8u^3 should be the answer

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3 years ago

How many sides has a regular polygon whose sum of interior angles is 540degrees

Svetllana [295]

It’s a pentagon (5 sides) . (n-2) x 180°. if you put it into the formula and do the reverse. 540 / 180 = 3
, 3+2 = 5

7 0

3 years ago

Findthe domain of the function f(x) = √19-x

Jet001 [13]

Answer:

(-∞,19)

Definition: The domain of a function is the set of input or argument values for which the function is real and defined

7 0

1 year ago

Read 2 more answers

Anfernee bought 4 umbrella and 5 hats and spent between $80.00 and 100.00. Each umbrella cost the same amount. Each hat cost the

barxatty [35]

Answer:

$15, $20

Step-by-step explanation:

Let u represent the unit price of umbrellas and h the unit price of hats.

Case 1: A. spent $80.

Then $80 = 4u + 5($4), or $80 = $20 + 4u, or $60 = 4u, or

u = $15/umbrella.

Case 2: A spent $100.

Then $100 = 4u + 5($4), or $100 = $20 + 4u, or $80 = 4u, or

u = $20/umbrella.

The least A. could have spent on a single umbrella was $15, and the most was $20.

6 0

3 years ago