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NikAS [45]
3 years ago
10

Factorise the following :​

Mathematics
2 answers:
timurjin [86]3 years ago
5 0

Answer:

2.

x³+2x²+5x+10

x²(x+2)+5(x+2)

taking common

(x+2)(x²+5) is your answer

a³-a²b²-ab+b³

taking common

a²(a-b²)-b(a-b²)

taking common

(a-b²)(a²-b)

Len [333]3 years ago
3 0

Answer:

See below

Step-by-step explanation:

(ii) \\  \\  {x}^{3}  + 2 {x}^{2}  + 5x + 10 \\  \\  =  {x}^{2} (x + 2) + 5(x + 2) \\  \\  = (x + 2)( {x}^{2}  + 5) \\  \\ (iii) \\  {a}^{3}  -  {a}^{2}  {b}^{2}  - ab +  {b}^{3}  \\  \\  =  {a}^{2} (a -  {b}^{2} ) - b(a -  {b}^{2} ) \\  \\  = (a -  {b}^{2} )( {a}^{2}  - b)

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Y=4x+8x, Solve for x.<br><br> It's x=y/12, I just need to know how to work it out.
Scrat [10]

Step-by-step explanation:

<h2>Answer:-</h2>

\tt{y = 4x+8x}

First, we need to add up the x.

We know that 4+8 = 12, so

\tt{4x+8x=12x}

Now, equating it to y,

\tt{y = 12x}

Now, if I multiply \tt{\dfrac{1}{12}} on both sides,

I get,

\tt{\dfrac{y}{12}= \dfrac{\cancel{12}x}{\cancel{12}}}

Now, as 12 got cancelled , I got the final answer as

\boxed{\tt{x =\dfrac{y}{12}}}

Hope it helps :)

4 0
3 years ago
It's candy time! Suppose 5 friends go out candy collecting. Starting out, Ms. Gleason gave each of them 12 pieces of candy. Then
sdas [7]

Answer:

6 hours

Step-by-step explanation:

First, since they all collected 510, you divide 510 by 5, to figure out how much each person got.

You then know that each of them got 102 candies, so now, you subtract 12 from from 102, since the teacher gave them that much in the beginning.

You're left with 90, so last step is to divide 90 by 15, since they collect 15 every hour, which you get left with 6. Meaning they collected candies for 6 hours

8 0
2 years ago
Read 2 more answers
One hour after yolanda started walking from x to y, a distance of 45 miles, bob started walking along the same road from y to x.
Rufina [12.5K]
<span>Answer: When bob starts walking The distance between them is 45-3 = 42 miles If they meet at time t then Yolanda would have walked X/3 minutes and Bob would have walked (42-X)/4 mins X/3 = (42-X)/4 so X = 18 Bob would have walked 42-18 = 24 miles.</span>
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3 years ago
What is 3x-2y=24 in slope intercept form??
elixir [45]

Answer:  3x-2y=24 in slope intercept form is y=\frac{2}{3}x -12

The graph of the equation is in the attachment

Step-by-step explanation: Slope intercept form is y = mx + b

m is the slope b is the y-intercept  x is the "input" in the equation y is the "output" or the y-value in the graph for a given x-value.

You need to rearrange the standard form to slope-intercept to isolate y on the left side of the equation.

3x - 2y = 24 Standard form. Subtract 3x from both sides.

-2y = -3x + 24   divide both sides by -2

-2y/-2 = -3x/-2 + 24/-2 . Simplify.

y = 3x/2 - 12 .

To clarify the slope as a fraction

y=\frac{2}{3}x -12

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3 years ago
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Answer:

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