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3 years ago

Simplify 3√45 a)5√15 b)9√5 c)15√9

Mathematics

1 answer:

aliina [53]3 years ago

8 0

Well if I did the math correctly it should be B) <span>9√5</span>

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How do you factor 125-x^3?

xz_007 [3.2K]

Step-by-step explanation:

We have

$125 - x {}^{3}$

First, 125 is a perfect cube because

$5 \times 5 \times 5 = 125$

and

x^3 is a perfect cube because

$x \times x \times x = x {}^{3}$

so we can use the difference of cubes identity

$( {x}^{3} - {y}^{3} ) = (x - y)( {x}^{2} + xy + {y}^{2} )$

Let say we have two perfect cubes:

64 because 8×8×8=64

and 27 because 3×3×3=27 and let subtract

$64 - 27$

we know that

$64 - 27 = 37$

but using the difference of cubes identity we should get the same thing.

Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have

$(4 - 3)( {4}^{2} + 4(3) + 3 {}^{2} )$

$1(16 + 12 + 9) = 1(37) = 37$

So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.

Back on to the topic,

we know that 5 is cube root of 125 and x is the cube root of x^3 so we have

$(5 - x)( {5}^{2} + 5x + {x}^{2} ) =$

$(5 - x)(25 + 5x + {x}^{2} )$

3 0

2 years ago

Read 2 more answers

Which equation will solve the following word problem? Vanessa spent $87.00 on entertainment for the week. Her rent costs twelve

Lunna [17]

Answer:

2 * $87 - $12 = R

Step-by-step explanation:

Let R represent the cost of Vanessa's rent.

Vanessa spent $87.00 on entertainment for the week.

Her rent costs twelve dollars less than double that amount. Breaking it down, the expression "double that amount" is expressed as (2 × 87). Subtracting 12 from double that amount, the final expression would become

R = 2(87) - 12

R =

R = 174 - 12

The correct option is

2 * $87 - $12 = R

5 0

3 years ago

6th grade math help me, please :))

Gelneren [198K]

Answer:

$\sf a) \ 2.5\\b) \ 7.5$

Step-by-step explanation:

$\displaystyle \frac{250}{100}$

$\sf Express \ as \ a \ decimal.$

$=2.5$

$\sf Multiply \ 3\% \ with \ 250.$

$\displaystyle 250 \times \frac{3}{100}$

$\displaystyle \frac{750}{100}=7.5$

5 0

3 years ago

Evaluate 2r²+3s³-r²+4+²-r²

Vilka [71]

$2r^2 + 3s^3-r^2+4^2+-r^2 \\ \\ 2r^2 + 3s^3 - r^2 + 16 + -r^2 \\ \\ 2r^2 + 3s^3 = r^2 16 - r^2 \\ \\ (2r^2 - r^2-r^2) + 3s^3+ 16 \\ \\ 3s^3 + 16 \\ \\ Answer: 3s^3 + 16$

7 0

3 years ago

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What is the probability of choosing a king from a standard deck of cards?

arsen [322]

4 out of 52 because there are 52 cards in a deck but only 4 kings therefore it would be 4 king out of a deck of 52

6 0

3 years ago

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