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3 years ago

Nate scored a 990 on his first autempton

Mathematics

1 answer:

Brrunno [24]3 years ago

3 0

Answer:

It was a percentage increase of 15.15%

Step-by-step explanation:

1140 is greater than 990, so it is an increase in scores

Percentage increase = (change in score / first score) x 100

change in score = second score - first score

1140 - 990 = 150

(150 / 990) x 100 = 15.15%

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The purchase is greater than $153

Step-by-step explanation:

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2 years ago

An airplane company wants to make a model of an 87 foot airplane. The scale they are using is 2in=8ft. How many inches long with

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I think the correct answer is 10.875

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3 years ago

Find the measure of angle ABC

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First we need to find x so 6x+8x+6x= 180
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3 years ago

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 $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

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4 years ago

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