All categories

3 years ago

Rewrite in a simplest exponential form. Please show work.

Mathematics

1 answer:

Mama L [17]3 years ago

4 0

(-4n^(2))* (5n^(7)):-20n to the power of 9

(2x)^(3)*(5x^(4 ))^(2): 200x to the power of 11

You might be interested in

5 ( 3 squared x) + 9 ( 3 squared x)

yulyashka [42]

Answer:

42x^2

Step-by-step explanation:

$5(3x^{2} )+9(3x^2)\\\\=(5+9)(3x^2)\\\\=14(3x^2)\\\\=42x^2$

5 0

3 years ago

The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)

Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

$f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}$

Now, we have to find the quotient of the above expression.

So, here we go:

$Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)$

Now, we will divide the above simplest form with g(x):

$\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2$

Hence, the quotient is (x-2).

6 0

3 years ago

Read 2 more answers

Doyle Company issued $500,000 of 10-year, 7 percent bonds on January 1, 2018. The bonds were issued at face value. Interest is p

mezya [45]

Answer:

Step-by-step explanation:

6 0

2 years ago

0.2x - 1 = -1<br> Fndndndnddsmsmsskaalamakaksnsndnx c cncjxmdnd

Sedaia [141]

Answer:

0.2

Step-by-step explanation:

6 0

3 years ago

The total mass of Sandeep and his sister, Leela, is 54.75 kg. The total

krok68 [10]

He is 38 kg.

I'll use only the first letters of their names, to make it simpler:

S+L=54.75
S+M=105
M=4L

S+4L=105
105-54.75=4L-L=3L
L=50.25/3=16.75
S=54.75-16.75=38

6 0

3 years ago

Read 2 more answers