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3 years ago

R t2. Simplify the expressionr stO D. r 15

Mathematics

1 answer:

leonid [27]3 years ago

6 0

$\frac{ r^{-3} s^{5} t^{2} }{ r^{2}s t^{-2} }= r^{-3-2} s^{5-1} t^{2-(-2)}= r^{-5} s^{4} t^{4}= \frac{s^{4} t^{4}}{ r^{5} }$
Answer: option C.

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Plz help ASAP please please

jeyben [28]

It should be figure B

Hope it helps :)

5 0

3 years ago

Please help me out :( I would appreciate it so much

Sophie [7]

Answer: B

Step-by-step explanation: Explanatory means to explain, or provide information. Argumentative tries to prove a claim is correct

I hope this helps you! :)

3 0

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

3 0

3 years ago

Determine the range of the following graph:<br> I’m in a math test Please help!!!

IgorLugansk [536]

Answer:

I have no idea

Step-by-step explanation:

I have no idea

7 0

3 years ago

Bob wants to put down new sod in his backyard except for the part set aside for his flower garden the diagram shows bobs backyar

zmey [24]

Answer:

Bob will need $235\ yd^{2}$ of sod

Step-by-step explanation:

step 1

Find the area of the backyard

$A=20(14)=280\ yd^{2}$

step 2

Find the area of the flower garden

$A=5(9)=45\ yd^{2}$

step 3

Find the difference

$280\ yd^{2}-45\ yd^{2}=235\ yd^{2}$

0 0

3 years ago