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3 years ago

The sum of two consecutive cube numbers is 341. Work out the two numbers. (2 marks)

Mathematics

1 answer:

Kobotan [32]3 years ago

3 0

Answer:

63 and 53

Step-by-step explanation:

you could use trail and error. So:

13+23=9

33+43=91

63+73=559

53+63=341

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Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check

kirill115 [55]

Given: The algebraic expression 3x(x – 12x) + 3x² – 2(x – 2)² --------(i)

To prove: The final simplified product = –28x² +8x – 8.

Solution:

Step No. 1

First, we shall expand the term (x – 2)² by using Identity (a-b)²= a² + b² - 2ab

So, (x – 2)² = x² + 4 - 4x

From given expression (i)

3x(x – 12x) + 3x² – 2(x² + 4 - 4x) --------(ii)

Step No. 2

Now, we shall multiply by the terms within the parentheses in (ii)

(3x² – 36x²) + 3x² – (2x² + 8 - 8x) --------(iii)

Step No. 3

Now, we shall simplify the terms within the parentheses in (iii)

(– 33x²) + 3x² – (2x² + 8 - 8x) --------(iv)

Step No. 4

Now, we shall open the parentheses to eliminate parentheses in (iv)

– 33x² + 3x² – 2x² - 8 + 8x --------(v)

Step No. 5

Now, we shall add and subtract the like terms in (v)

– 28x² + 8x -8 --------(vi)

Hence, the simplified expression will be – 28x² + 8x -8

8 0

3 years ago

Read 2 more answers

Q.16 please With steps

blsea [12.9K]

The equations

$2x^2+9x-5=0$

and

$2\left(t-\dfrac12\right)^2+9\left(t-\dfrac12\right)-5=0$

are really the same, we're just setting $x=t-\dfrac12$ , or $t=x+\dfrac12$ .

$2x^2+9x-5=(2x-1)(x+5)=0\implies x=\dfrac12,x=-5$

So we get

$t=\dfrac12+\dfrac12=1,t=-5+\dfrac12=-\dfrac92$

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Answer:

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Step-by-step explanation:

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2 years ago

4x+8y=17 Solve for y

olasank [31]

Answer:

4x + 8y = 17

Solve for y.

You want to get y on one side of the equal sign by itself so... you subtract 4x from both sides to get:

8y = -4x + 17

Then you divide both sides by 8 to get:

y= -4x/8 +17/8

Then simplify the fractions to get:

y = -2x/4 + 17/8

Step-by-step explanation:

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3 years ago

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Will mark Brainlest!! Help Please! (1). find the domain and range of the following

miss Akunina [59]

Answer:

Step-by-step explanation:

You have the domain. It is given as -1≤x≤1

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I've included a graph so you can see how this all works.

So the range = 1 ≤ y ≤ 3

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