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2 years ago

Factorise X Squared +13+12

Mathematics

1 answer:

Norma-Jean [14]2 years ago

7 0

Answer:

$\left(x+1\right)\left(x+12\right)$

Step-by-step explanation:

$x^2+13x+12$

$x^2+12x+1x+12$

$x(x+12)+1(x+12)$

$\left(x+1\right)\left(x+12\right)$

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Evaluate the function at the given numbers( correct to six decimal places). Use the results to guess the value of the limit or e

netineya [11]

Answer:

Value of the limit is 0.5.

Step-by-step explanation:

Given,

$F(x)=\frac{e^x-1-x}{x^2}$

When,

$x=1,F(1)=frac{e^1-1-1}{1}=e-2=0.718281$

$x=0.5, F(0.5)=\frac{e^0.5-1-0.5}{(0.5)^2}=0.594885$

$x=0.1, F(0.1)=\frac{e^0.1-1-0.1}{(0.1)^2}=0.517091$

$x=0.05, F(0.05)=\frac{e^0.05-1-0.05}{(0.05)^2}=0.508438$

$x=0.01, F(0.01)=\frac{e^0.01-1-0.01}{(0.01)^2}=0.501670 \hfill (1)$

Correct upto six decimal places.

Now,

$\lim_{x\to 0}F(x)=\lim_{x\to 0}\frac{e^x-1-x}{x^2}$ $(\frac{0}{0})$ form, applying L-Hospital rule that is differentiating numerator and denominator we get,

$\lim_{x\to 0}F(x)$

$=\lim_{x\to 0}\frac{e^x-1}{2x}$ $(\frac{0}{0})$ form.

$=\lim_{x\to 0}\frac{e^x}{2}=\frac{1}{2}=0.5\hfill (2)$

Limit exist and is 0.5. That is according to (1) we can see as the value of x lesser than 1 and tending to near 0, value of the function decreases respectively. And from (2) it shows ultimately it decreases and reach at 0.5, consider as limit point of F(x).

8 0

3 years ago

25° decreased by 60%

worty [1.4K]

25 - (60% × 25) =
25 - 60% × 25 =
(1 - 60%) × 25 =
(100% - 60%) × 25 =
40% × 25 =
40 ÷ 100 × 25 =
40 × 25 ÷ 100 =
1,000 ÷ 100 =
10;
The answer is 10

4 0

3 years ago

What is the answer to this question

liraira [26]

Answer:

the answer is z=63

Step-by-step explanation:

6 0

2 years ago

Help me on this please

Butoxors [25]

Answer:

y=35x+50

35*8=280

280+50=330

yes there will be 10 dollars left

I hope this is good enough:

8 0

2 years ago

I WILL GIVE A CROWN JUST NEED HELP ASAP

pav-90 [236]

Answer:

$720

Step-by-step explanation:

First tutor = 30 x 10 = $300

Second tutor = 30 x 14 = $420

Total = 420 + 300 = $720

3 0

2 years ago