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Cloud [144]
3 years ago
9

What are the discontinuity and zero of the function f(x) = x^2+5x+6/x+2

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Answer:

Step-by-step explanation:

Hello,

f(x) =\dfrac{ x^2+5x+6}{x+2}=\dfrac{(x+2)(x+3)}{x+2}=x+3

no discontinuity point

zero = -3

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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Mrs. Daly's reading classes were surveyed about their reading preferences. The data is summarized in the table below.
andriy [413]

Answer:

Required probability is 0.19

Step-by-step explanation:

The two-way table for the given data is,

                              Fiction                Non-Fiction                Total

9th grade                35                            8                             43

10th grade               52                            12                           64

Total                        87                            20                           107

It is required to find the probability of the students who prefer to read non-fiction novels, given that they are in 9th grade.

That is, to find the conditional probability P(Non-fiction| 9th\ grade).

Now, P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}

So, we get,

P(Non-fiction| 9th\ grade)=\dfrac{(Non-fiction\bigcap 9th\ grade)}{P(9th\ grade)}\\\\P(Non-fiction| 9th\ grade)=\dfrac{8}{43}\\\\P(Non-fiction| 9th\ grade)=0.19

<h3>Thus, the required probability is 0.19.</h3>
5 0
3 years ago
Write the equation, in the slope-intercept form, for the line shown in the graph below:
AysviL [449]

Answer:

y = -3x

Step-by-step explanation:

Slope is -3

8 0
2 years ago
1.<br> What is the area of this tile?<br> ina<br> 6 in.<br> 2 in.
satela [25.4K]

Answer:u will kno3

Step-by-step explanation:6 in the side the top 2 the top

5 0
2 years ago
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A machine fills containers with 35 ounces of raisins
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3 0
3 years ago
Which system of inequalities represents reglon Z?<br> 6
yKpoI14uk [10]

Answer:

The system of inequalities is

y\geq 3x-2

y<-(1/5)x+2

Step-by-step explanation:

step 1

Find the equation of the solid blue line

Let

A(0,-2), B(1,1)

Find the slope of AB

m=(1+2)/(1-0)=3

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=3

b=-2 - ----> the point A is the y-intercept

substitute

y=3x-2 - -----> equation of the solid blue line

The solution of the inequality is the shaded area above the solid line

therefore

The first inequality is

y\geq 3x-2

C(0,2), D(5,1)

step 2

Find the equation of the dashed red line

Let

Find the slope of CD

m=(1-2)/(5-0)=-1/5

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=-1/5

b=2 ----> the point C is the y-intercept

substitute

y=-(1/5)x+2  -----> equation of the dashed red line

The solution of the inequality is the shaded area below the dashed line

therefore

The second inequality is

y<-(1/5)x+2

The system of inequalities is

y\geq 3x-2

y<-(1/5)x+2

3 0
3 years ago
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