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3 years ago

Complete the following statement. Write

Mathematics

1 answer:

Anika [276]3 years ago

4 0

The answer is the second option-always

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An animal shelter has 910 of its crates filled with animals.

AnnZ [28]

12/910 which simplifies to 6/455.

Explanation:

Take the amount of crates holding dogs over the total amount of crates

5 0

3 years ago

Which of the following expressions is equivalent to a3 + b3?

lubasha [3.4K]

ANSWER
${a}^{3} + {b}^{3} = (a + b)( {a}^{2 } - ab + {b}^{2} )$

EXPLANATION

To find the expression that is equivalent to
${a}^{3} + {b}^{3}$
we must first expand
${(a + b)}^{3}$
Then we rearrange to find the required expression.

So let's get started.

${(a + b)}^{3} = (a + b) {(a + b)}^{2}$

We expand the parenthesis on the right hand side to get,

${(a + b)}^{3} = (a + b) ( {a}^{2} + 2ab + {b}^{2} )$

We expand again to obtain,

${(a + b)}^{3} = {a}^{3} + 3 {a}^{2}b + 3a {b}^{2} + {b}^{3}$

Let us group the cubed terms on the right hand side to get,

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2}b + 3a {b}^{2}$

${(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab (a+ b)$

We make the cubed terms the subject,

${(a + b)}^{3} - 3ab (a+ b) = {a}^{3} + {b}^{3}$

We factor to get,

$(a + b)({(a + b)}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We expand the bracket on the left hand side to get,

$(a + b)( {a}^{2} + 2ab + {b}^{2} - 3ab ) = {a}^{3} + {b}^{3}$

We finally simplify to get,

$(a + b)( {a}^{2} - ab + {b}^{2} ) = {a}^{3} + {b}^{3}$

5 0

3 years ago

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What is the ratio of daises to all the flowers in the vase?

ddd [48]

Answer: Do you have the original ration so we can simplify it then??

Step-by-step explanation:

3 0

3 years ago

The base of a pyramid has n sides write an expression for the number of faces of the pyramid

kumpel [21]

A pyramid always have a number of slant triangles equal to the number of the sides of the base.

This means that a pyramid always have the number of face which is one more than the number of sides of the base.

Therefore, given that a pyramid has n number of sides of the base, the expression for the number of faces of the pyramid is given by

number of faces = n + 1.

6 0

3 years ago

Which of the following is the quotient of the rational expression (x-2/x+3) divided by (2/x)

zloy xaker [14]

Answer:

(x²-2x)/(2x+6)

Step-by-step explanation:

When you are asked to divide two fractions just do keep-change-flip. Keep the first fraction, change the ÷ to x and flip the second fraction upside down. So the problem becomes ((x-2)/(x+3)) times (x/2). Then just multiply numerators and multiply denominators.

6 0

3 years ago

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