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2 years ago

Factorise x squared plus 10x

2 answers:

6 0

We know, factorisation is the process of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

x² + 10x

Now we should take x common from both the terms.

= x (x + 10)

Answer:

x (x + 10)

Hope you could understand.

If you have any query, feel free to ask.

andrew-mc [135]2 years ago

3 0

Answer:

$\bold{x(x+10)}$

Step-by-step explanation:

Hi there!

Factoring is the opposite of distributing.

We know what distributing is:

a(b+c)=ab+ac

Well, this is factoring:

ab+ac=a(b+c)

So, let's factorise the given expression:

$\bold{x^{2} +10x}$

What's the common term? That's right, x.

So, we factor x out:

$\bold{x(x+10)}$

Hope it helps! Enjoy your day!

~Just a teen willing to help others

$\bold{Besties4Ever:-):-):-)}$

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Finish the sequence 1,1,2,3,5,8,_,_,_

Papessa [141]

This is a Fibonacci sequence
1; 1
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
next terms:
5 + 8= 13
8 +13 = 21
13 + 21 = 34

3 0

3 years ago

Read 2 more answers

Consider the function: f(x) = 2x^2 - 1.5x - 5 and its graph.

Dominik [7]

Answer:

f(x) = -4x² + 19x - 18

Step-by-step explanation:

$f(x) = 2x^2 - 1.5x - 5$

i) If it is translated 2 units in the positive x direction, therefore we use f(x-2)

$y=f(x-2) = 2(x-2)^2 - 1.5(x-2) - 5\\y = 2(x^2-4x+4) - 1.5x+3 - 5\\y=2x^2-8x+8-1.5x+3-5\\y=2x^2-9.5x+6$

f(x) = 2x² - 9.5x + 6

If it is then translated 3 units in the positive y, we add 3 to the input function to get:

$y=f(x)+3=2x^2-9.5x+6+3\\y = 2x^2-9.5x+9$

ii) stretched vertically by a factor of 2, we multiply the function by 2 to get:

$y =2( 2x^2-9.5x+9) = 4x^2-19x+18\\y= 4x^2-19x+18$

iii) reflected across the x-axis

we multiply the parent function by –1, to get a reflection about the x-axis.

$y= -1(4x^2-19x+18)=-4x^2+19x-18\\y=f(x)=-4x^2+19x-18$

5 0

3 years ago

How do I do this. I dont understand

zavuch27 [327]

I think its D. hope u get it right

6 0

3 years ago

What is the constant of variation, k, of the direct variation, y=kx, through (5,8)

miv72 [106K]

$\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (\stackrel{x}{5}~,~\stackrel{y}{8})\qquad \implies 8=k(5)\implies \cfrac{8}{5}=k$

6 0

3 years ago

After four years in college, Josie owes $21000 in student loans. The interest rate on the federal loans is 3% and the rate on th

klasskru [66]

Answer:

$104.27 is the amount at 3% and $20895.73 is the amount at 4.4%

Step-by-step explanation:

We are given that Josie owes $21000 in student loans.

Let x be principal at 3% rate of interest

Time = 1 year

Formula: $A=P(1+r)^t$

$A=x(1+0.03)^1$

A=1.03x

Interest = Amount - Principal

Interest = 1.03x-x=0.03x

So, (21000-x) is the principal at 4.4% rate of interest

Formula: $A=P(1+r)^t$

$A=(21000-x)(1+\frac{4.4}{100})^1$

A=21924-1.044x

Interest = 21924-1.044x-21000-x=924-2.044x

The total interest she owes for one year was $714.00

So, 0.03x+924-2.044x=714

x=104.27

So, $104.27 is the amount at 3%

The principal at 4.4% rate of interest =21000-x=21000-104.27=20895.73

Hence $104.27 is the amount at 3% and $20895.73 is the amount at 4.4%

7 0

3 years ago