4. Identify the zeros and the graph of the function y = x(x − 2)(x + 5).

Answers

Answer 1

The zeros of

y = x(x + 2)(x + 5)y=x(x+2)(x+5)

are

x=0,x=-2,x=-5x=0,x=−2,x=−5

EXPLANATION

The given function is

y = x(x + 2)(x + 5)y=x(x+2)(x+5)

To find the zeros of the above function, we just have to equate the function to zero and solve for x.

x(x + 2)(x + 5) = 0x(x+2)(x+5)=0

This implies that,

x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0

x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5

To graph the above function, we need to consider the multiplicity.

We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.

We also need to consider the position of the graph on the following intervals,

x < - 5x<−5

When

x = - 10x=−10

y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0

The graph is below the x-axis.

- 5 \: < \: x \: < \: - 2−5<x<−2

When

x = - 3x=−3

y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0

The graph is above the x-axis.

- 2 \: < \: x < \: 0−2<x<0

when

x = - 1x=−1

y = -1(1)(4) \: < \: 0y=−1(1)(4)<0

The graph is below the x-axis.

Finally the interval,

x \: > \: 0x>0

when

x = 1x=1

y = 1(3)(6) \: > \: 0y=1(3)(6)>0

The graph is above the x-axis.

We can now use the above information to sketch graph as shown in the diagram above


Related Questions

Solve. 213−12x=−23 Enter your answer in the box.

Answers

[tex]213 -12x = -23\\\\\implies 12x = 213 +23 = 236\\\\\implies x = \dfrac{236}{12}= \dfrac{59}3 = 19.67[/tex]

The value of x from the given equation is [tex]19\frac{2}{3}[/tex].

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is 213-12x=-23.

Now, 213+23=12x

⇒ 12x=236

⇒ x=236/12

⇒ x=59/3

⇒ x=[tex]19\frac{2}{3}[/tex]

Therefore, the value of x is [tex]19\frac{2}{3}[/tex].

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Casey makes a grape salad using green grapes and red
grapes. She adds 5 green grapes for every 3 red
grapes. What is the ratio of all grapes to green grapes in the
grape salad?

Answers

Answer:

the answer is 8:5

Step-by-step explanation:

Find the surface area of the rectangular prism. 7 m 4 m 5m

Answers

Answer:

A = 2 (wl+hl+hw)=2·(4.7+5·7+5·4)=166

Answer: A=2(wl+hl+hw)=2·(4·7+5·7+5·4)=166

Step-by-step explanation:

Please. I just need an answer. I don’t know how to mark brainliest but if I did I would.

Answers

Answer:

60 degrees

Step-by-step explanation:

6) A geologist collects rocks. He has three types, sedimentary, metamorphic and
igneous. The ratio of sedimentary rocks to metamorphic rocks is 2:3.
The ratio of metamorphic to igneous is 9:10.
What is the ratio of sedimentary to igneous?

Answers

Answer:

3:5

Step-by-step explanation:

s:m = 2:3

m:i = 9:10

convert m to same number so they are comparable

s:m = 6:9   (multiple so the ratio is still the same as 2:3)

m:i = 9:10 (the same thing as before)

s:i = 6:10

s:i = 3:5 (simplify)

Are the figures below similar?
NO LINKS!! NEED ANSWER ASAP​

Answers

No as they have different interior angles

Answer:

no

Step-by-step explanation:

At Health Hair, the cost of a children's haircut, x , is $4 and the cost of an adult haircut, y , is $14. The sales from Friday were $568. There were 42 haircuts in all.

Write a system to represent the situation.

AND

Solve the system and interpret the answer.

Your Answer:

Answers

Answer:

[tex]x + y = 42,[/tex]

[tex]4x + 14y = 568,[/tex]

[tex]x = 2, y = 40[/tex]

Step-by-step explanation:

Learn the FULL explanation at: https://brainly.com/question/25629296

Which of the following is equivalent to:
−−(2+5)−(3−7)?

Answers

Answer:

You haven't provided expressions, so I can work out the problem for you. When we divide fractions, remember always "keep, switch, flip!" That's what we're gonna do here. We keep the 2/5, switch the sign to multiplication, and flip the 7/8 to 8/7. Therefore, we have 2/5*8/7. That gives us 16/35. Hope this helps!

Step-by-step explanation:

what is the equation of the line that passes through the point negative -5, 7 and has a slope of -2/5

Answers

Answer: The equation of the line that passes through the point negative -5, 7 and has a slope of -2/5 is y = -0.4x + 5.

I’m a right or nah.


Helppp

Answers

Answer:

You are right

Step-by-step explanation:

It starts at zero and goes up. (Positive slope)

negate the following statements.​

Answers

I will not go to school tomorrow
The earth is not the center of the solar system
Angle A and angle B are not congruent
The money you gave me was not enough
She is enjoying her time
I did bring the key

I hope this helps.

A sample of n = 5 scores has M = 20 and s2 = 4. What is the sample standard deviation?

O 20
O 5
02
O 16

Answers

5 I think sorry if I’m wrong

The sample standard deviation is 2. Therefore, the correct answer is option C.

Given that, a sample of n=5 scores has M=20 and s²=4.

The standard deviation is the fundamental measure of data point dispersion from the mean of a given data set. If the data points on a given distribution are more spread out, the standard deviation will be greater. In contrast, if the data points are close together, the standard deviation will be low.

The standard deviation is simply the square root of the variance;

Here, [tex]s=\sqrt{4}[/tex]

[tex]s=2[/tex]

Therefore, the correct answer is option C.

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Graph the solution to the inequality on the number line.

p<20.2
help

Answers

Answer:

it is an open circle on 20.2 and is going to the left

Step-by-step explanation:

I hope this helps :)

Hellooo, is this simple graphing or do I have to like solve something

Answers

Answer:

Just graph the points

Step-by-step explanation:

no need to solve anything

David, a sales clerk in an appliance store, earns a base salary of $1200 per month plus a commission of 8 percent on monthly sales over $600. If David received $1900 for the month of April, how much were his monthly sales?​

Answers

Answer:

3,700

Step-by-step explanation:

I know it's black because I did it in my head


4) Tom is 4 years older than Bob, Evan is 10 years younger than Tom, Tucco is half of Evan's age, and Mary is 8 year
younger than twice Tucco's age. Mary is 46 years old today. Find the rest of everyone's ages. Be careful with your
thinking

helpp

Answers

Answer:

if you find the age of bob the rest is easy

Step-by-step explanation:

WHAT IS TRUE ABOUT THE HEIGHT OF THE RECTANGLE

Answers

Answer:

It is totaly based on the diagram

Answer:

it is said on diagram or other values are given to find it

Find the surface area of a cylinder with radius 8m and height 5 m

Answers

Answer:

A≈653.45

Step-by-step explanation:

Solution

A=2πrh+2πr2=2·π·8·5+2·π·82≈653.45127

An education website has 434,206 daily unique visitors. An e-commerce website gets double the number of visitors. How many visitors does the e-commerce website get? Thank you in advance:))

Answers

Answer:

868,412 visitors

Explanation:

434,206 x 2 (double)

whats the answer pls

Answers

Answer:

y=0.75x-1

Step-by-step explanation:

Which 2 values are greater than 3/5?


1/4
0.68
2/3
0.599
1/2

Answers

The answer is 0.68 and 2/3

Hoped that helped

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

27.2 ft

Step-by-step explanation:

similar triangles

51/90=x/48

x=27.2 ft

A _______ is a variable, an integer or a product of variables and
integers.

Answers

Product variation .

Urgent!
<6 and what angle are corresponding angles?

Answers

Answer:

11

Step-by-step explanation:

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

Write the equation of the line graphed below in slope-intercept form.

Answers

Answer:

y=1/2x+3

Step-by-step explanation:

grabbing two points in this case (0,3) and (2,4)

we use the rise over run formula meaning it rises 1 and runs 2 so our slope is 1/2

to get the y intercept just look at where the line touches the y line in this case at 3

using the equation y=mx+b and m is slope and b is y interecpt we plug in the numbers

so we get y=1/2x+3

A student earns $8 per hour plus a $15 bonus each weekend day worked. Last week, the student worked 1 weekend day and earned a total of $115 for h hours of work.

Answers

Answer:

12.5 hours

Step-by-step explanation:

[tex]115 - 15 = 100 \\ \frac{100}{8} = 12.5[/tex]

The student worked for 12.5 hours.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

A student earns $8 per hour plus a $15 bonus each weekend day worked.

Now, let the student works for h hours.

So, the earning would be= 15+ 8h

As, he earned $115

So, 15+ 8h= 115

8h = 100

h = 12.5 hours

Hence, the student worked for 12.5 hours.

Learn more about Algebra here:

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I am asking how this is when I found the median is 14!

Answers

Hi there!

2  3  5  5  9  11  13  14  14  17  20  22  24  28

If we count up the numbers, we find that there are 14 numbers. This means that we must take the average of the middle two numbers to find a median since the amount of numbers is not odd.

Count 6 from both sides and we get the middle two numbers to be:

13  14  

Take the average:

(13 + 14)/2 = 13.5

**This must be done if the amount of numbers given is EVEN.**

Answer:

Step-by-step explanation:

There are an even number of entries that make up the Data Set. (14 entries)

When you have an even number, you take the two entries that are at the center to find the median.

The values at the middle are entry seven which is 13 and entry eight, which is 14.

Now average these two. You get (13 + 14)/2 = 27 / 2 = 13.5

Otherwise I think you are correct.

what two decimal
are between the square root of 62

Answers

7 and 8 because the square root is 7.874

find the perimeter of a regular pentagon with each side measuring 6cm.

Answers

Answer:

30cm

Step-by-step explanation:

Perimeter of a Pentagon=5L

P=5×6cm=30cm

With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane.

WILL GIVE BRAINLY TO FIRST ANSWER

Answers

Based on the information given, it can be noted that the air speed that the plane has will be 71.1 km per hour.

The number of hours used for the return trip will be:

= 2 hours - 24 minutes.

= 1 hour 36 minutes.

= 1.6 hours.

Therefore, the speed of the air plane will be:

= (128 + 128) / (2 + 1.6)

= 256/3.6.

= 71.1 km per hour.

Learn more about speed on:

https://brainly.com/question/25860159

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