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3 years ago

What is the length of the edge of a cube with a wolume of 512?

1 answer:

3 0

A≈8
V Volume

Using the formula
V=a3
Solving fora
a=V⅓=512⅓≈8

Therefore, to find the lenght of an edge of the cube, just find the cube root of the volume. In this case, the cube root of 512 is equal to 8.

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If m(x)=x 5/x-1 and n(x) = x – 3, which function has the same domain as (m*n)(x)

Tatiana [17]

Answer:
m(x) has the same domain as (m*n)(x)

Explanation:
1- For m(x):
m(x) is a fraction. This means that the denominator cannot be zero, otherwise, the fraction would be undefined.
The denominator of m(x) would be zero at x = 1.
This means that the domain of m(x) can be any real number except 1

2- For n(x):
The value of x in n(x) can be any number. This is because there is no value that would make n(x) undefined.
This means that the domain of n(x) is all real numbers

3- For (m*n)(x):
(m*n)(x) = m(x) * n(x) = $\frac{x-5}{x-1} *(x-3) = \frac{(x-5)(x-3)}{(x-1)}$

We can note that the product is also a fraction. This means that the denominator cannot be zero.
The denominator here will be zero at x = 1.
This means that the domain of (m*n)(x) is all real numbers except 1.
This is the same as the domain of m(x)

Hope this helps :)

8 0

3 years ago

I need to find the least common denominator of x+2/x^2+2x-3 , x-7/x^2+5x+6

grin007 [14]

Answer:

(x + 3)(x - 1)(x + 2)

Step-by-step explanation:

The fractions are:

$\dfrac{x + 2}{x^{2} + 2x - 3} \text{ and } \dfrac{x - 7}{x^{2} + 5x + 6}$

Factor each denominator

$x^{2} + 2x - 3 = (x + 3)(x - 1)\\x^{2} + 5x + 6 = (x + 3)(x + 2)$

We must find the least common multiple of the denominators. We take the maximum power of each separate factor.

Factors of first fraction = (x + 3) × (x - 1)

Factors of second fraction = (x + 3) × (x + 2)

LCM = (x + 3)(x - 1)(x + 2)

The lowest common denominator of the two fractions is (x + 3)(x - 1) (x + 2).

4 0

3 years ago

Amy and rob each improve thier yards by pmanting rose bushes and ivy. They brought thier supplies from the same store. Amy spent

Rzqust [24]

Answer: cost of 1 pot of ivy = $12

Cost of 1 rose bush =$ 10

Step-by-step explanation:

Step 1

Let rose bushes be represented as r

and pot of ivy be represented as p

such that Amy who spent 82 dollars on 7 rose bushes and 1 pot of ivy can be expressed as

7 r + p = 82----- eqn 1

Rob who spent 74 on 5 rose bushes and 2 pots of ivy can be expressed as

5r +2 p = 74----- eqn 2

Step 2

Solving

7 r + p = 82----- eqn 1

5r +2 p = 74----- eqn 2

By elimination method Multiply eqn 1 by 5 and eqn 2 by 7

35r+ 5p= 410--- eqn 3

35r+ 14p =518--- eqn 4

Subtracting eqn 4 from eqn 3

9p = 108

p = 108/9

p=12

p = pot of ivy = $12

therefore rose bush wll be ( from equation 1)

7r+ p= 82

7r=82-12

7r= 70 r= 70/7

r= rose bush =$ 10

5 0

3 years ago

Can someone help me asap please thanks

prisoha [69]

Just divide 10 by 2.5.

7 0

3 years ago

Read 2 more answers

a paper airplane can be made out of two different pieces of paper: a circular piece 10 inches wide and a square piece 11 inches

madreJ [45]

Compare the areas of the 2 different pieces of paper.

For the circle, the area is A=pi * r^2, which works out to A = pi(5 inches)^2.

For the square, the area is A = s^2, where is the side length, which here is 11 inches.

Finish these calculations, and then compare your two areas. Which is the larger?

5 0

3 years ago