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

A restaurant is considering reducing its meal sizes, because it noticed many of its customers cannot finish their meals. The manager decided to weigh the left-over portion of the meals before putting them in to-go containers. The line plot displays the weights of the left-over portions of the meals. If the left-over portions are divided equally among the customers, how much food would each customer take home? Weight of Left-over Meals A. B. C. D.

Answers

Answer:

1/2

Step-by-step explanation:

You need to add all the fractions up to get 1/2 is what food the costumers brought home

Answer:

1/2

Step-by-step explanation:

i got it correct!!

I'VE ASKED THIS 4 TIMES ALREADY. DOUBLE POINTS PLEASE HELP!!!

Please help! Write an equation of the line passing through the point (6,-4) that is perpendicular to the line y=1/3x-9

Answers

Answer:

y=-3x-14

Step-by-step explanation:

y=mx +c

m= 1/3

perp m= -3

goes through point (6,-4)

sub numbers


This expression is scientific notation for what number?
8. 10-6

Answers

Answer:

20-45 answer should be d good luck sorrybif im wrong

Solve for x.
z=(x-8)k

Answers

Answer:

z/k + 8 = x

Step-by-step explanation:

z=(x-8)k

Divide both sides by k

z/k = x - 8

Add 8 to both sides

z/k + 8 = x

Is 24:6 equivalent to 12:3

Answers

Answer:

Yes

Step-by-step explanation:

Yes! If you multiply both of the values in the ratio 12:3 by 2, you get the ratio 24:6. A ratio is equivalent to another if one can be multiplied by or divided by the same number to result in the other ratio.

For example, 1:2 and 3:6 are equivalent ratios since 1:2 can be multiplied by 3 to result in 3:6.

Hopefully that's helpful! :)

PLEASE HELP!!! I’ll mark as brainiest!

Answers

Answer:

1. (-2, 3)

2. (-4, -6)

3. (3, -6)

4. (-5, 2)

5. (9, 1)

1. (-3, -2)

2. (6, -4)

3. (6, 3)

4. (-2, -5)

5. (-1, 9)

What is the solution to this equation?

-8×+4=36

Answers

Answer:

-4

Step-by-step explanation:

[tex]-8x +4 = 36\\\\\implies 8x = 4-36\\\\\implies 8x = -32\\\\\implies x = -\dfrac{32} 8\\\\\implies x =-4[/tex]

make t the subject of the formula in the image

Answers

Answer:

t=[tex]\frac{2-3q}{q+4}[/tex]

Step-by-step explanation:

q(t+3)=2-4t

qt+3q=2-4t

qt+4t=2-3q

t(q+4)=2-3q

t=[tex]\frac{2-3q}{q+4}[/tex]

Last month, Korey’s Comics had $4,350 in net sales with a gross profit of $3,320 and a net income of $1,850. Calculate Korey’s net profit margin. A. 42. 5% b. 55. 7% c. 76. 3% d. 179. 5%.

Answers

Korey's net profit margin is 42.5%.

Net profit margin is the ratio of net income to net sales. It is a profitability ratio.  Profitability ratios measure the efficiency with which a company generates profit from its asset.

Net profit margin = net income / net sales

Net profit margin = $1850 / $4350 = 0.425 = 42.5%

A similar question was answered here: https://brainly.com/question/5990973

Answer:

A. 42.5%

edge⬇️

Aura built a scale model of a building using a scale in which 4 inches represents 60 feet. The height of the building is 420 feet.

What is the height of the scale model in inches?

Answers

Answer:

  28 inches

Step-by-step explanation:

We're told that each 60 ft is represented by 4 inches of model. 420 feet is 7 times 60 feet, so the model will be 7 times 4 inches.

The height of the scale model is 28 inches.

5y+4x=10.51 8y+3x=10.39

Answers

Answer:

  (x, y) = (1.89, 0.59)

Step-by-step explanation:

Written in general form, the equations are ...

  4x +5y -10.51 = 0

  3x +8y -10.39 = 0

These can be solved using the cross-multiplication method to find ...

  ∆1 = (4)(8) -(3)(5) = 17

  ∆2 = (5)(-10.39) -(8)(-10.51) = 32.13

  ∆3 = (-10.51)(3) -(-10.39)(4) = 10.03

Then the values of the variables are ...

  x = ∆2/∆1 = 32.13/17 = 1.89

  y = ∆3/∆1 = 10.03/17 = 0.59

The solution is (x, y) = (1.89, 0.59).

The graph shows that f(x)={is translated
horizontally and vertically to get the function

Answers

Answer: 3

Step-by-step explanation:

What is the value of (-a) to the 4th power / (-a) to the 3rd power

Answers

Step-by-step explanation:

(-a)⁴ / (-a)³ = -a

since both terms have the same exponent base (-a), we can simply do the regular exponent arithmetic (multiplication = +, division = -)

4 - 3 = 1

so, the exponent 1 remains.

it works also, if we process the exponents first

(-a)⁴ = a⁴

(-a)³ = -(a³)

a⁴/-(a³) = a/-1 = -a

help with my math please

Answers

Answer:

j mmmmmmm

Step-by-step explanation:

mmmmmmmmm


At a basketball game, a vender sold a combined total of 161 sodas and hot dogs. The number of sodas sold was 31 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.

Answers

Answer:

65 hot dogs, 96 sodas

Step-by-step explanation:

x + (x + 31) = 161

2x + 31 = 161

2x = 130

x = 65

65 hotdogs

65 + 31 = 96

96 sodas

Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.

Answers

Step-by-step explanation:

x = number of hours A

y = number of hours B

x + y = 23

5.7x + 7.1y = 143.7

from the first equation we get

x = 23 - y

this we use in the second

5.7×(23 - y) + 7.1y = 143.7

131.1 - 5.7y + 7.1y = 143.7

1.4y = 12.6

y = 12.6/1.4 = 9

x = 23 - y = 23 - 9 = 14

she worked 14 hours on job A and 9 hours on job B.

simplify expression

3+2+y+y

Answers

Answer:

2y + 5

Step-by-step explanation:

I hope this helps!

Hey there!

3 + 2 + y + y

= 3 + 2 + 1y + 1y

COMBINE the LIKE TERMS

= (3 + 2) + (1y + 1y)

= 5 + 2y

= 2y + 5

Therefore, your answer is: 2y + 5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

what is the slope of the line

Answers

Answer:

The slope is 1.

Step-by-step explanation:

Let's take two points on a line. (2,0) and (0,2).

Now, determine the rise and run.

Rise: 2 Run: 2

Slope = Rise/Run

=> 2/2

Conclusion:

Therefore, the slope is 1.

Hoped this helped.

HELP WITH MATH!! MARKUPS AND MARKDOWNS! I’LL PUT BRAINLIEST IF ITS CORRECT!

Answers

Answer:

1. $62.50

2. $41.25

3. $90.35

4. $2,160

5. $343

6. $66,602.25

7. $220

Step-by-step explanation:

check the picture and youll know.

Answers

Answer:

24

Step-by-step explanation:

18/3/4. 18 divided by 3/4 is 18x4/3 which is 72/3=24

24 I think sorry i’m not really good at this

Find the slope of the line passing through the points (-3, 3) and (5, 9).

Answers

Answer:

Step-by-step explanation:

9-3/5- -3=  slope= 6/8 or 3/4

given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line. PLEASE! Helppp

Answers

Answer:

(-6,-5)

Step-by-step explanation:

y2-y1

x2-x1

subtract then you get the answer

I need help with this please

Answers

Answer:

  see attached

Step-by-step explanation:

boundary line

When graphing, it can be useful to have the equation in slope-intercept form. You can get that by solving for y.

  4y ≤ -5x -4 . . . . subtract 5x from both sides

  y = -5/4x -1 . . . . divide both sides by 4

This tells you the slope is -5/4, and the boundary line crosses the y-axis at y = -1. The slope is the ratio of rise to run, so -5/4 tells you the line will go down 5 units for each 4 unit to the right. That is, points (4, -6) and (-4, 4) will be on the line.

line type and shading

The "or equal to" part of the inequality symbol (≤) tells you that the boundary line will be solid, not dashed.

The "less than" part of the symbol tells you that the values of x and y are less than those on the boundary line, so shading will be to the lower-left. The graph is shown in the attachment.

_____

Additional comment

You can determine the location of the shading by looking at any variable term that has a positive coefficient, and its relation to the inequality symbol. Here, that could be either of ...

5x ... ≤ ...4y ... ≤ ...

These tell you that x- and y-values in the solution set are less than those on the line, so shading will be left of (x<) or below (y<) the line. (In rare cases where all of the variable coefficients are negative, you can multiply the equation by -1 and reverse the inequality before you make this analysis.)

write 200% as a decimal​

Answers

Answer:

Percent Decimal

80% 0.8

90% 0.9

100% 1

200% 2

Answer:

2.00

Step-by-step explanation:

To convert a percentage to a decimal, divide by 100. So 25% is 25/100, or 0.25. To convert a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the right).

share $ 4,500 between Ben and Jenny in the ratio 4:5​

Answers

Given,
4:5-4500
Let. 4:5 be,
4x and 5x
To find
Value for each person
x=?
4x+5x=4500
9x=4500
×=4500/9
x=500
4x=500×4=2000
5x=5×500=2500

Select the correct answer.
Consider the formula for the slope between two coordinate points, m, shown below.
V2 — 91
m =
12 - 11
Which of the following equations is equivalent to the slope formula?
OA.
OB.
*1 =
Y2 =
m(x2 - x) + y
mly₂-4₂) + x2
12 = m(y₂ - y₂) + x1
yz = m(x2 – x1) + y2
O C.
OD
=
Reset
Next

Answers

Answer:

it's A

Step-by-step explanation:

yeah-ya ............... right?

A student says that it 5x^2 =20,then x must be
equal to 2. Do you agree or disagree with the
student? Justity your answer.

Answers

I agree with the student.Justification:[tex] {5x}^{2} = 20 \\ = > {x}^{2} = \frac{20}{5} \\ = > {x}^{2} = 4 \\ = > x = \sqrt{4} \\ = > x = 2[/tex]Therefore, x must be equal to 2.So his statement is right.

Hope you could get an idea from it.

Doubt clarification - use comment section.

Six less than a number is twenty

Answers

Answer:

the start numbew woould be 26

Step-by-step explanation:

6 less than 26 is 20

Answer:

n=26

Step-by-step explanation:

Concern airplane flying at a cruising speed of 1/2 km in 1/24 of a minute.Compute the unit rate of the airplanes cruising speed in kilometers per minute

Answers

Answer:

12 km/minute

Step-by-step explanation:

In order to convert to kilometers per minute, we are given 1/2 of a kilometer per 1/24 of a minute. First, we must convert to 1 minute. We can multiply both sides by 24 to get 24/2 = 12 kilometers per minute. Since we now have it in kilometers per minute, we have the answer.

Answer:

12 km per min

Step-by-step explanation:

i need help on this assignment

Answers

Answer:

the answer is 10

Step-by-step explanation:

by the why want to be friends??

Answer:

10

Step-by-step explanation:

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