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3 years ago

X² + 7x + 12 factorise it

Mathematics

1 answer:

Sidana [21]3 years ago

4 0

Step-by-step explanation:

x²+7x+12

x²+4x+3x+12

x(x+4)+3(x+4)

(x+3)(x+4)

hope it helps

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If the nth term of the sequence -1 , 4, 9, 14..... Is 129. Then find the value of n.

Leya [2.2K]

Answer:

Step-by-step explanation:

129-(-1) = 130

130/5 = 26

26+1 = 27

8 0

3 years ago

Read 2 more answers

Rearrange b + 4 = a to b=

mojhsa [17]

$b+4=a\\
b=a-4$

4 0

3 years ago

Read 2 more answers

Hi please help me no links thank you

olya-2409 [2.1K]

Step-by-step explanation: (I'm not gonna' do it all for you tho)

to convert from percent to fraction:

70% = $\frac{70}{100} =\frac{7}{10}$

to convert from fraction to percent:

$\frac{11}{20}=\frac{55}{100}$ = 55%

to convert from fraction to decimal:

$\frac{3}{25} =\frac{12}{100} =0.12$

to convert from decimal to fraction:

$1.25=\frac{125}{100} =1\frac{25}{100} =1\frac{1}{4}$

to convert from percent to decimal:

0.2% = $\frac{0.2}{100} =0.002$

to convert from decimal to percent:

$0.4= (0.4*100)$ % = 40%

With that, you can solve the rest on your own

4 0

3 years ago

Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

expeople1 [14]

Answer:

$cot x = \frac{cos x}{sin x}$

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

$cos x cot x + sin x$

We know from math properties that the definition for cot is $cot x = \frac{cos x}{sin x}$

If we use this definition we got:

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

Now we can use the following identity:

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

4 0

4 years ago

Add an intersection the red light times normally distributed by the mean of three minutes and a standard deviation of .25 minute

Soloha48 [4]

95% of red lights last between 2.5 and 3.5 minutes.

Step-by-step explanation:

In this case,

The mean M is 3 and
The standard deviation SD is given as 0.25

Assume the bell shaped graph of normal distribution,

The center of the graph is mean which is 3 minutes.

We move one space to the right side of mean ⇒ M + SD

⇒ 3+0.25 = 3.25 minutes.

Again we move one more space to the right of mean ⇒ M + 2SD

⇒ 3 + (0.25×2) = 3.5 minutes.

Similarly,

Move one space to the left side of mean ⇒ M - SD

⇒ 3-0.25 = 2.75 minutes.

Again we move one more space to the left of mean ⇒ M - 2SD

⇒ 3 - (0.25×2) =2.5 minutes.

The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.

Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)

Therefore, the percent of red lights that last between 2.5 and 3.5 minutes is 95%

8 0

4 years ago

X² + 7x + 12 factorise it​

X² + 7x + 12 factorise it