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3 years ago

Help Please Someone Asap

Mathematics

1 answer:

galben [10]3 years ago

5 0

33 over 1

and in 5 hours he would go to 1 mile and 2/3

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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

4 years ago

The benefit of these systems is that they might make a driver aware of an object ahead well before the driver could see it using

hichkok12 [17]

What’s the question?

8 0

4 years ago

Read 2 more answers

At 6:00 PM, a flagpole that is 35 feet tall casts a shadow that is 50 feet long. At the same time, how long will a person's shad

sertanlavr [38]

Answer:

The length of the person’s shadow is 5.7ft

Explanation:

Length of the flagpole =a= 35ft

Length of the shadow of the flagpole= b=50ft

Length of the person=c= 4ft

Suppose the length of the person’s shadow is=d

According to the rules of trigonometry

$\frac{\text { Length of the flagpole }}{\text { Length of the shadow of the flagpole }}=\frac{\text { Length of the person }}{\text { Length of the person's shadow }}$

$\frac{a}{b}=\frac{c}{d}$

$\frac{35}{50}=\frac{4}{d}$

35d=200

d= $\frac{200}{35}$

d=5.7ft

Hence, The length of the person’s shadow is 5.7ft.

3 0

3 years ago

Which property is illustrated? 15 + (5 + 7) = (15 + 5) + 7

Ainat [17]

Associative Property !!

hope this helped!!!

3 0

3 years ago

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In History, you earned an exam score of X-85 where the exam average was μ-65 with a standard deviation of σ-5. In Biology, you e

topjm [15]

Answer: D. History

Step-by-step explanation:

To answer this question, we need to use the z-score formula written below:

$\frac{x-pop. mean}{stan. devi.}$

Now we'll just plug in the numbers and solve.

History:

$\frac{85-65}{5} = 4$

Biology:

$\frac{90-85}{10} =0.5$

As we can see, history wields a higher z-score than biology, thus leaving us with option D. History

4 0

3 years ago