What are the zeros of the function y=6x^2-11x+3

Answers

Answer 1
To algebraically find the zeroes of this function, we must factor by grouping

y = ax^2 -bx +c
y = 6x^2 - 11x + 3

Multiply a and c.

6 x 3 = 18

Identify b, b= -11

We need to think of 2 numbers that when added, will give us the b value -(11) and when multiplied, will give us (ac) 18.

-9 + -2 = -11

-9 • -2 = 18

Now, we rewrite the equation using these 2 numbers.

y = 6x^2 - 9x - 2x + 3

Now, we put brackets around the first 2 and last 2 terms.

y = (6x^2 - 9x) (-2x + 3)

Now, simplify the two sets of brackets individually. You will find that the things left inside the brackets will be the exact same.

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

Attach the 2 coefficients together and rewrite.

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

Since we are solving for zeroes, make y = 0

0 = (-3x - 1) (2x + 3)

Both of these binomials equal 0, we must evaluate them separately.

0 = -3x - 1

3x = -1

x = -1/3

Second one:

0 = 2x + 3

-3 = 2x

x = -3/2

zeroes: (-1/3) , (-3/2)








Related Questions

1. During which of the following situations would the government most likely have a
contractionary fiscal policy?
A. when the volume of net exports is unusually low
B. when the economy is in a trough of the business cycle
C. when the inflation rate is negative
D. when the level of economic output is running unusually high
E. when the unemployment rate is running unusually high

2. During a recession, unemployment will ________, tax revenue collected by the
government will ________, and spending by the government will ________.
A. decrease; decrease; decrease
B. increase; increase; decrease
C. decrease; decrease; increase
D. increase; decrease; increase
E. decrease; increase; decrease

3. According to the new classical critique of fiscal policy, why do consumers increase their
savings in response to government spending?
A. They shift their consumption toward more expensive goods, which must be saved up
for.
B. Government spending incentivizes firms to lower prices, which means consumers
spend less.
C. Government spending drives interest rates up and so makes saving more profitable.
D. When workers’ earnings increase, they are able to save a greater percentage of their
total earnings.
E. They believe they will eventually need the saved money when they have to pay
higher taxes.

Answers

A situation when the government most likely have a contractionary fiscal policy is D. when the level of economic output is running unusually high.

What is contractionary fiscal policy?

Contractionary fiscal policy is when the government collects more money than it spends. This is usually done by increasing taxes and reducing government expenditure.

During a recession, unemployment will increase tax revenue collected by the government will decrease, and spending by the government will increase.

According to the new classical critique of fiscal policy, consumers increase their savings in response to government spending because they believe they will eventually need the saved money when they have to pay higher taxes.

Learn more about fiscal policy on:

https://brainly.com/question/6583917

How do you solve the Goldbach's Conjecture?

Answers

Answer:

Every integer greater than 5 can be written as the sum of three primes.

Step-by-step explanation:

Every integer greater than 5 can be written as the sum of three primes.

solve pls brainliest

Answers

Answer:

1/4

Step-by-step explanation:

20n=5

n=5/20

n=1/4

therefore, it's 1/4

Answer:

1/4th

Step-by-step explanation:

All we need to do is get the N by itself, and since the 20 is multiplied by the N, we would divide to get rid of it on both sides. then we have n=5/20, and since 5 goes into 20 4 times, we can simplify it to 1/4th.

please mark as brianlest.

please help!!!! what is the equation for this graph

Answers

Answer:

[tex]f(x)=\sqrt[3]{x-2} +1[/tex]

Step-by-step explanation:

Given function for graph:  [tex]f(x)=1\sqrt[3]{x-h} +k[/tex]

where (h, k) is the midpoint of the curve.

Therefore, the parent function is [tex]f(x)=\sqrt[3]{x}[/tex]

[tex]f(x)=1\sqrt[3]{x-h} +k[/tex] can be obtained by translating [tex]f(x)=\sqrt[3]{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up

The x and y intercept of [tex]f(x)=\sqrt[3]{x}[/tex] is the origin

Therefore, this graph has been translated 2 units to the right and 1 unit up.

Therefore, [tex]h=2[/tex] and [tex]k=1[/tex]

Substituting these values into the given function:

[tex]\implies f(x)=\sqrt[3]{x-2} +1[/tex]

Use multiplication or division to find the missing number
2/5 = ?/15
HELP IVE BEEN ON THIS QUESTION FOR HOURS!!
god bless you and your family if your reading this .

Answers

What is 2/5 of 15?

Want to quickly learn or show students how to convert 2/5 of 15? Play this very quick and fun video now!

How to Calculate the Fraction of a Whole Number

  How to Calculate the Fraction of a Whole Number

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

15

1

So now that we've converted 15 into a fraction, to work out the answer, we put the fraction 2/5 side by side with our new fraction, 15/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

2 x 15

5 x 1

=

30

5

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 30 and 5 is 5.

We can now divide both the new numerator and the denominator by 5 to simplify this fraction down to its lowest terms.

30/5 = 6

5/5 = 1

When we put that together, we can see that our complete answer is:

6

1

The complete and simplified answer to the question what is 2/5 of 15 is:

6

hope this helps

Missing number is 6

Set up the proportion

[tex] \frac{2}{5} = \frac{x}{15} [/tex]

Cross multiply to get 5x=30.

Divide both sides by 30 to get the answer

5x÷5=30÷5

x=6

What is the area of a square with vertices: G(1, 0), O(5, 2), A(3, 6) and T(-1, 4)? Show your work!

Answers

By finding the side length of the square, we will see that the area is 20 square units.

How to get the area of a square?

For a square of side length S, the area is:

A = S^2

In this case, the side length of the square will be the distance between two consecutive vertices, so we can say that S is the distance between points G and O.

Remember that the distance between two points (x₁, y₁) and (x₂. y₂) is:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

So the distance between the points G(1, 0) and O(5, 2) is:

[tex]S = \sqrt{(5 - 1)^2 + (2 - 0)^2} = \sqrt{20}[/tex]

Then the area of this square is:

[tex]A = S^2 = (\sqrt{20})^2 = 20[/tex]

The area is 20 square units.

If you want to learn more about squares, you can read:

https://brainly.com/question/24487155

Say that australia has a working population of 11,565,470 people, and that the average salary is $26,450 annually. how much tax revenue would australia generate each year by instituting a 31.4% income tax? a. $81,528,467,671 b. $90,224,333,274 c. $96,054,697,991 d. $209,851,983,509

Answers

The tax revenue Australia would generate each year is $96,054,697,991.

What is the percentage?

The percentage is the value per hundred.

Working population of Australia =  11,565,470 people

Annual average salary = $26,450

Income tax rate = 31.4%

Tax revenue generated by each resident = 26450*(31.4/100)

Tax revenue generated by each resident =$8305.3

So, Tax revenue generated by 11,565,470 residents =  11,565,470*8305.3

Tax revenue generated by 11,565,470 residents = $96,054,697,991

Therefore, the tax revenue Australia would generate each year is $96,054,697,991.

To get more about taxes visit:

https://brainly.com/question/509359

You woke up at 9:00 am 5 hours later still doing school work then you took a nap for 2 hours what time was it is when you woke up

Answers

4pm. Explanation: 9+15=14. In military time, 14:00 is equivalent to 2pm. Then the nap lasted two hours. 2 hours after 2pm is 4pm. You could also think of it this way: 9+7 (the 5 hours of work + 2 hour nap) =16, and 16:00 is equivalent to 4pm.

Ms. Lee takes out a loan to start a business. She borrows $5,000 of a simple annual interest rate of 6. 5% for 5 years. What is the total amount of interest Ms Lee must pay

Answers

Answer:

A = $6,625.00

Step-by-step explanation:

A = P(1 + rt)

A = 5000(1 + (0.065 × 5)) = 6625

Based on this stock price model, what is the best prediction of what the price will do next?

Answers

Go up. This is because the stock price is going up.

You buy 45 shares of evu confectioners at $63.12 apiece. unfortunately, the company falls on hard times and you end up selling the stock for $41.20 per share. how much money did you lose? a. $1,854.00 b. $986.40 c. $1,183.68 d. $2,840.40

Answers

Answer:

b is your answer to this question

The money lost due to a hard time for the company is $986.4.

Number of shares =45

Price per share =$63.12

So, the total cost of buying 45 shares = 45*63.12 = $2840.4

Total selling price when the company falls on hard times and you end up selling the stock for $41.20 per share = 41.20*45 = $1854

What is a loss?

Mathematically, the loss is the difference between the cost price and the selling price.

Difference between the selling price and the cost price = 2840.4 - 1854

So, the difference between the selling price and the cost price = $986.4

Therefore, The money lost due to a hard time for the company is $986.4.

To get more about profit and loss visit:

https://brainly.com/question/19104371

Algebra 1 :
Work must be shown….

write the an equation for linear function f(x) if f(3)=-4 and f(2)=6

Answers

What we have been given here are two points.

f(3) = -4 is the same as (3, -4)

f(2) = 6 is the same as (2, 6)

We can then use these two points to find the equation of a line.

Step 1: Find the slope

Slope Formula: (y2 - y1) / (x2 - x1)

Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10

Step 2: Find the y-intercept

To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.

Slope-Intercept Form: y = mx + b

Point = (2, 6)

6 = 2(-10) + b

6 = -20 + b

b = 26

Step 3: Create the equation of the line

Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.

y = -10x + 26

Answer: y = -10x + 26

Hope this helps!

Find the t-value such that the area in the right tail is 0.005 with 28
degrees of freedom.

Answers

Answer:

t=3.673900

Explanation:

Given

df = 28df=28 -- degree of freedom

Area = 0.005Area=0.005

Required

Determine the t-value

The given parameters can be illustrated as follows:

P(T > t) = \alphaP(T>t)=α

Where

\alpha = 0.005α=0.005

So, we have:

P(T > t) = 0.005P(T>t)=0.005

To solve further, we make use of the attached the student's t distribution table.

From the attached table,

The t-value is given at the row with df = 28 and \alpha = 0.005α=0.005 is 3.673900

Hence, t = 3.673900t=3.673900

Victor+earns+a+gross+annual+income+of+$84,482+and+is+buying+a+home+for+$185,500. +he+is+making+a+15%+down+payment+and+financing+the+rest+with+a+25-year+loan+at+4. 25%+interest

Answers

Answer:

185,500 -.15(185,500)=157,675

Yes he can afford it, it doesn't go over his income and it's %27 below.

So sorry to ask another question but I need some help-
The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet. What is the perimeter of the triangle?​

Answers

Answer:

14x + 23

Step-by-step explanation:

The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet.

The perimeter of a triangle: the sum of all of its sides.

5x + 9 + 2x + 14 + 7x

14x + 23

It's the expression of the perimeter of the triangle. Once you will be asked to find x, you'll probably be given the exact perimeter of the triangle.

In which quadrant does θ lie given that sinθ < 0 and cosθ < 0? Thank You!

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

Answers

Answer:

Quadrant III.

Step-by-step explanation:

u said the answer :3

The quadrant that θ lies given that sinθ < 0 and cosθ > 0 will be Quadrant IV

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

we need to first know the signs of the trigonometric functions in each of the 4 quadrants going in an anti-clockwise direction.

In the first quadrant, the cot, sin, cos and tan are all positive.

In the second quadrant going anti-clockwise, only sine is positive.

In the third quadrant going anti-clockwise, only tangent is positive.

In the fourth quadrant going anti-clockwise, only cosine is positive.

We are told that the

sinθ < 0 and cos θ > 0.

This means that sine is negative and cosine is positive.

Looking at the rule, it is clear that the angle is in the fourth quadrant.

Read more about quadrant signs of trigonometric functions at;

brainly.com/question/12380695

#SPJ2

Question in photo, please answer ASAP !! Many thanks. : )

Answers

Answer:

Step-by-step explanation:

EF and CD are meant to be parallel. Whatever you do to one, you do the same thing to the to maintain slope symmetry.

So the blank should contain 90 clockwise.

Please Help! Will Give Brainlest! Locks In an Hour!

Answers

Answer:

B. - 0.383

Step-by-step explanation:

Since cotangent of angle is:

cot λ = cos λ / sin γ

And

cos λ = x/1, sin λ = y / 1

The value of cot λ is:

cot λ = x/y = - 0.358/0.934 = - 0.383 (rounded)

Correct choice is B

if A = (0,0) and B = (8,2), what is the length of AB

Answers

Answer:

Hope the picture will help you

The table below shows data for a class's midterm and final exam. Use the table to answer the following questions. Mid-Term Final 100 98 100 95 100 93 95 91 95 88 92 82
9278 88 78 85 65 75 60 What is the 5 number summary for the class's Final Exam? Minimum
type your answer... Lower Quartile type your answer.... Median type your answer... Upper Quartile type your answer...
Maximum
type your answer...

Answers

Based on the scores in the final exam, the five number summary of the class is:

Minimum = 60Lower quartile = 71.5.Median = 85.Upper Quartile = 94.Maximum = 98What is the five number summary for the final exams?

The minimum is the smallest score of 60. The maximum will be the largest score of 98.

The lower quartile can be found by the formula:

= (Second score + Third score) / 2

= (65 + 78) / 2

= 71.5.

The upper quartile is:

= (Third to last score + Second to last score) / 2

= (93 + 95) / 2

= 94

The median is:

= (5th score + 6th score) / 2

= (82 + 88) / 2

= 85

Find out more on the five number summary at https://brainly.com/question/24809873.

what is the square root of 6​

Answers

Square Root of 6: 2.449489742783178
Square Root of 6 in exponential form: (6)½ or (6)0.5
Square Root of 6 in radical form: √6

How far is 75% of a 2,000-kilometre trip?

Answers

Answer:

1500

Step-by-step explanation:

Simply multiply 0.75 by 2000 to get the percent of the trip, 1500. Hope this helps!

Anthony deposits $800 into a savings account that carns 3.5% interest annually.

Answers

after 1 year he will get : 800 + 800 x 3,5% = 800 x 1,035 = $828

after 2 years he will get : 828 x 1,035 = 800 x 1,035 x 1,035 = 800 x 1,035²

so

after n years he will get : 800 x 1,035ⁿ

Answer:

Step-by-step explanation:

800 x 1,035ⁿ

What are the step to solving
3(5x - 2 = 3x + 8 - 2x

Answers

this should be the answer

What is the distance between (4, 6) and (4, -1) ?

7 units

5 units

4 units

I don't know​

Answers

The distance between points (4,6) and (4,-1) is 7 units.

Given The coordinates of the end points of line (4,6) and (4,-1).

Distance is the measurement about how far things are present on the surface. It is usually calculated in some units known as km, m, etc.

The distance between two points can be calculated as under:

Distance=[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex] where the coordinates are (x1,y1),(x2,y2).

To calculate the distance we need to put the values of coordinates in the formula:

Distance between (4,6) and (4,-1)=[tex]\sqrt{(4-4)^{2} +(-1-6)^{2} }[/tex]

=[tex]\sqrt{(0)^{2}+(-7)^{2} }[/tex]

=[tex]\sqrt{0+49}[/tex]

=[tex]\sqrt{49}[/tex]

=7

Hence the distance between (4,6) and (4,-1) is 7 units.

Learn more about distance at https://brainly.com/question/2854969

#SPJ10

Answer:

it would be 7 units :)

Step-by-step explanation: cuz im smart and said so

Solve for the missing angle

Answers

Answer:

[tex]\displaystyle 55,7[/tex]

Step-by-step explanation:

[tex]\displaystyle 1\frac{41}{53} = sec\:x \hookrightarrow sec^{-1}\:1\frac{41}{53} = x \hookrightarrow 55,678930951...° = x \\ \\ 55,7° ≈ x[/tex]

OR

[tex]\displaystyle \frac{53}{94} = cos\:x \hookrightarrow cos^{-1}\:\frac{53}{94} = x \hookrightarrow 55,678930951...° = x \\ \\ 55,7° ≈ x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

what is a solution in 6th-grade math?

Answers

Answer:

A solution means any variable that makes the equation true


coach wilson hopes to have no more than 15 turnovers during today's basketball game which inequality best represents this situation



Answers are A t is greater than or equal to 15. B is t is greater than 15. C is t less than 15. D is t less than or equal to 15

Answers

Answer:

it is D

Step-by-step explanation:

since he wants no more than 15

Answer:

D

Step-by-step explanation:

Since it says "no more than 15" coach Wilson wants either 15 turnovers or less in his game. Therefore, t is equal to less than or equal to 15.

A 50 ml IVPB bag of ampicillin 500 mg in normal saline is to be run in over 20 minutes. What is the infusion rate in ml/hr?​

Answers

Using proportions, it is found that the infusion rate is of 150 ml/hr.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 50 ml are administered over 20 minutes. How much is administered over one hour = 60 minutes? The rule of three is:

50 ml - 20 min

x ml - 60 min

Applying cross multiplication:

x = 50(60)/20

x = 50(3)

x = 150.

The infusion rate is of 150 ml/hr.

More can be learned about proportions at https://brainly.com/question/24372153

5 pounds=. Ounces



I need Helpppp

Answers

5 ounces!!!! I studied the gallon hour

Answer:

80 ounces

Step-by-step explanation:

1 pound is 16 ounces

5 pounds is x ounces.

[tex]\frac{1}{16}=\frac{5}{x}[/tex]

Cross multiply.

[tex]\frac{16*5}{1}=80[/tex]

Other Questions
HELPDetermine the empirical formula of a compound containing 48.38grams of carbon, 6.74 grams of hydrogen, and 53.5 grams of oxygen.In an experiment, the molar mass of the compound was determined to be 180.15 g/mol.What is the molecular formula of the compound?For both questions, show your work or explain how you determined the formulas bygiving specific values used in calculations. In today's generation, what does it mean to be half black half white? What rights are you considered to have? What does society think about this particular race? You work as a personal assistant for a very high-profile fashion photographer. She has given you her credit card and asked you to equip one of her new studios with every piece of equipment, tool, and accessory that she might need to properly perform her job as a fashion photographer. What should you buy? Discuss why you would choose these items and what they do. Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to compare the ratios. Finally make sure to answer how the ratios compare. Which outdoor sport can combine both aerobic and nopn aerobic Special committees created to study specific issues are called _____ committees.Committee created to resolve differences in a bill are called ___ committees. What might happen to its symbiotic partner of commensalism suddenly became extinct? PLEASE HELP BEFORE MIDNIGHT explain the scope of population education and environent education. Follow the directions to convert the analog sound wave into a digital signal. the lines on the grid intersect at various points (x, y). for each whole-number value of x, find the intersection point that is closest to the wave. draw a small circle on that point, and record its y-value. the circles for the x-values 0 through 3 are already done for you. draw circles for the x-values 4 through 18. in a textbox, write down all 19 y-values obtained by sampling the wave. HELP WILL GIVE BRAINLIEST!!!!2. Which of the following equations is FALSE?BC=20AC=20BD= 10AD= 10 How can you avoid being tricked into buying worthless or even dangerous products from fraudulent sources? What are some warning signs that a site, product, company, etc. Is not trustworthy? write using algerba a skick l feet long is brokeninto two parts one of which is twice as long as the other how long is the shoter peice A construction company takes1/6 hours to remove 1/2metric tons of dirt from a construction site.What is the unit rate in metric tons per hour?Write your answer in simplest form. At what constant velocity must a spacecraft travel from earth if it is to reach the star in 3. 7 years, as measured by travelers on the spacecraft? Name at least two capital cities in south america that are located on an ocean If both parents have normal pigmentation, what are all of the possible genotypes that may be observed in their offspring (Squirrels gather and store acorns for the winter, which is an example of a ___________ adaptation.)A. MimicryB. BehavioralC. StructuralD. Environmental why are means of communication available in urban areas than in rural areas in Nepal hello, please answer the question, please show work