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2 years ago

24j - 9 Factor the following expression using GCF

Mathematics

1 answer:

Anettt [7]2 years ago

7 0

Answer:

See it and do it

Follow please

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How to do slope intercept form again?!

Anestetic [448]

You intercept by shaping in a volcano form if that's what you mean

8 0

3 years ago

Given f(x) =

sergejj [24]

Answer:

Step-by-step explanation:

We are given the function:

$\displaystyle f(x) = \left\{ \begin{array}{ll} 2\cos(\pi x) \text{ for } x \leq -1 \\ \\ \displaystyle \frac{2}{\cos(\pi x)}\text{ for } x > -1 \end{array} \right.$

And we want to find:

$\displaystyle \lim_{x\to -1}f(x)$

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.

Left-Hand Limit:

$\displaystyle \lim_{x\to-1^-}f(x)$

Since we are approaching from the left, we will use the first equation:

$\displaystyle =\lim_{x\to -1^-}2\cos(\pi x)$

By direct substitution:

$=2\cos(\pi (-1))=2\cos(-\pi)=2(-1)=-2$

Right-Hand Limit:

$\displaystyle \lim_{x\to -1^+}f(x)$

Since we are approaching from the right, we will use the second equation:

$=\displaystyle \lim_{x\to -1^+}\frac{2}{\cos(\pi x)}$

Direct substitution:

$\displaystyle =\frac{2}{\cos(\pi (-1))}=\frac{2}{\cos(-\pi)}=\frac{2}{(-1)}=-2$

So, we can see that:

$\displaystyle \displaystyle \lim_{x\to-1^-}f(x)=\displaystyle \lim_{x\to -1^+}f(x) =-2$

Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:

$\displaystyle \lim_{x \to -1}f(x)=-2$

Our answer is A.

8 0

2 years ago

Fannie has a life insurance policy that will pay her family $24,000 per year if

gregori [183]

Answer:

The rate is 2% per year.

Step-by-step explanation:

It is given that sum to be $1200000.

The interest per year to be received is $24000.

Let the rate of interest be "r".

The amount interest is given by the formula,

$(Interest) = (Principle amount)(\frac{Rate}{100})(Time)$

$24000 = (1200000)(\frac{r}{100})(1)$

$r = \frac{24000}{12000} = 2$

Thus the rate of interest is given by 2% per year.

5 0

3 years ago

Read 2 more answers

Paul's Plumbing charges a flat fee of $90 plus $40/h for a plumbing job. Perfect Pipes charges a flat fee of $60 plus $55 for a

nataly862011 [7]

Equation A.
Paul's plumbing: y= 40h+ 90
Perfect plumbing: y= 55h + 60

B:
Pauls plumbing: y= 40(3) + 90.... 310= y
Perfect plumbing y= 55(3) + 60... y= 225
Not the same

4 0

3 years ago

What number should be added to the sides of the equation to complete the square? x^2+3x=6

Harlamova29_29 [7]

i assume you'd have to subtract [3x] from [x^2+3x=6], so it'd be [x^2 = -3x + 6]

4 0

2 years ago