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lianna [129]
3 years ago
7

Fully factorise X^3 - 100

Mathematics
1 answer:
PIT_PIT [208]3 years ago
5 0

Answer:

(x-10)(x²+10x+100)

Step-by-step explanation:

Given the expression

X^3 - 100

This ca also be expressed as;

X^3 - 100 = X³ - 10³

a³-b³ = (a-b)(a²+b²+ab)

Substitute a = x and b = 10

X³ - 10³ = (x-10)(x²+10²+10x)

X³ - 10³ = (x-10)(x²+10x+100)

Hence the factored form is (x-10)(x²+10x+100)

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I need help with this one math question please!
den301095 [7]

Answer:

see explanation

Step-by-step explanation:

Assuming the fractions are being multiplied

Factorise the denominators of both fractions

x² - 3x - 10 = (x - 5)(x + 2)

x² + x - 12 = (x + 4)(x - 3)

The product can now be expressed as

\frac{x-5}{(x-5)(x+2)} × \frac{x+2}{(x+4)(x-3)}

Cancel (x - 5) and (x + 2) on the numerators/ denominators, leaving

\frac{1}{(x+4)(x-3)} = \frac{1}{x^2+x-12}

3 0
3 years ago
What is the slope of the line whose equation is 2x−4y=10 ?
Olenka [21]

solve for y

2x−4y=10  

-2x       -2x      subtract -2x from both sides

-4y = -2x +10

-4            -4    Divide both sides by -4 (coefficient on y)

y = -2/-4x  + 10/-4

y = 1/2x - 5/2


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and its 1/2

6 0
3 years ago
Read 2 more answers
A cup has a circumference of 28 cm. Approximately what is the diameter?
Ainat [17]

Answer:

The diameter is approximately 8.9 cm

Step-by-step explanation:

The circumference is given by

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Divide each side by pi

28/pi = d

We can approximate pi by 3.14

28 /3.14 =d

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The diameter is approximately 8.9 cm

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3 years ago
Pls help asap due tomorrow
Svet_ta [14]

Based on the information given, it should be noted that the least number of marbles that can be in the bag will be 10 marbles.

<h2>Solution to the probability.</h2>

If the bag contains 60 marbles, the number of red marbles will be:

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The number of white marbles will be:

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The number of blue marbles will be:

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Furthermore, when the bag has 4 red marbles and 6 white marbles, there'll be 10 blue marbles.

Lastly, to find the probability of choosing a blue marble, we've to multiply 1/2 by the number given.

Learn more about probability on:

brainly.com/question/25870256

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2 years ago
How to expand and evaluate
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