Write the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3. (Use the letter x to represent the variable.)

Write The Quadratic Equation Whose Roots Are 2 And 3, And Whose Leading Coefficient Is 3. (Use The Letter

Answers

Answer 1

The quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3 will be 3x² - 15x + 18 = 0.

What is a quadratic equation?

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

Then the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3.

Then the factor or the quadratic equation will be

(x - 2) and (x - 3)

Then the equation will be

     3(x - 2)(x - 3) = 0

3(x² -2x -3x + 6) = 0

    3(x² - 5x + 6) = 0

   3x² - 15x + 18 = 0

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Related Questions

For one binomial experiment, n1 = 75 binomial trials produced r1 = 30 successes. For a second independent binomial experiment, n2 = 100 binomial trials produced r2 = 50
successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ.

(a) Compute the pooled probability of success for the two experiments. (Round your answer to three decimal places.)

(b)Compute the corresponding sample distribution value. (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.)

(c)Find the P-value of the sample test statistic. (Round your answer to four decimal places.)

Answers

The correct answer to your question would be B because it’s computea with the corresponding sample that distributes the value. welcome.

in need of help! please help!

Answers

Answer:

3 1/4 if im not mistaken ive done the math so im pretty sure im right :)

Step-by-step explanation:

heres what i did:

i added everything that would make 2 3/4 then added the remaining together to get 3 1/4 which the question wanted you to see the reaming bit so 3 1/4 was the remaining sorry if that was confusing

PLEASE HELP 20 POINTS!!

Answers

Answer:

D) x² - y = 10x + 25 + y

Step-by-step explanation:

A relation only becomes a function if each x-value only has a single y-value as the answer.

Evaluating

A and B cannot be the answers as each value will get 2 answersC will also not be the answer as y² means at least 2 answers will be givenD is the best option as each inputted x-value will get an answer of a single y-value

What is the volume, in cubic in, of a rectangular prism with a height of 12in, a width of 10in, and a length of 12in?

Answers

Answer:

1440 cubic inches

V = [tex]l[/tex] × [tex]w[/tex] × [tex]h[/tex]

V = 12 × 10 × 12 = 1,440 cubic inches

Factor and write the x-intercepts 6x^2-5x-21 PLEASE HELP I NEED ANSWER

Answers

Answer:

Your answer is in the picture.

Step-by-step explanation:

Visit the website if you want to factor polynomial.

Pa help naman po sa math Salamat po ​

Answers

Answer:  See the table below

========================================================

Explanation:

The first task is to sort the values from largest to smallest.

Doing so gets us this list

57, 51, 48, 46, 45, 44, 43, 41, 40, 39, 39, 38, 37, 36, 36, 35, 35, 34, 33, 32, 31, 29, 29, 28, 24, 21, 19, 18, 13, 8

Next, we look for values that are between 56 and 60. That would be the single value of 57. This means we have 1 tally mark for the first row and the frequency is 1.

After that, we look for values between 51 and 55. That would be the single value of 51. Like the previous row, we'll have a single tally and a frequency of 1.

The 46-50 group will have the values 48 and 46 in it, so we have two tally marks and a frequency of 2 for this row.

This process is continued until all the values are accounted for. Effectively you are sorting the values into the proper bins.

You should end up with the table below. The fourth column is optional. It helps show where all of the values are sorted (to help confirm we have the correct tallies and frequencies).

3.1 Find the equation of the line passing through (4, 5) and parallel to the line 3x – 2y = 4.

Answers

                   [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

            Find the equation of the line passing through (4, 5) and parallel to

                3x-2y=4.

 [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

[tex]\rightarrow[/tex] First, add 2y on both sides:-

                            [tex]\Large\textsf{3x+2y=4}[/tex]

[tex]\rightarrow[/tex] Now, subtract 3x on both sides:-

                  [tex]\Large\textsf{2y=-3x+4}[/tex]

[tex]\rightarrow[/tex] Divide by 2 on both sides

    [tex]\Large\text{$y=-\displaystyle\frac{3}{2}x +2$}[/tex]

[tex]\rule{300}{3}[/tex]

Now, let's find the equation of the line that's parallel to the given line.

Remember, if lines are parallel to each other, then their slope's the same.

So the slope of the line that's parallel to the line whose equation we just found, is

[tex]\Large\text{$-\displaystyle\frac{3}{2}$}[/tex]

Now let's write the equation in point-slope form:-

[tex]\hookrightarrow\sf{y-y_1=m(x-x_1)}[/tex]

Replace numbers with letters, as follows:-

[tex]\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}[/tex]

The equation above is the equation in point-slope form.

Incase you need it converted to slope intercept form, refer to the steps below ~

Multiply -3/2 times x and -4:-

[tex]\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}[/tex]

Now, Add 5 on both sides:-

[tex]\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}[/tex]

[tex]\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}[/tex]

Good luck with your studies.

#TogetherWeGoFar

[tex]\rule{300}{1}[/tex]

A bag of dozen oranges was selling for $3. The manager of the store decided to add some oranges to the bag, but not to change the $3 sticker price on the bag. Now the price of the oranges was actually $2 a dozen. How many oranges were added to the bag

Answers

Answer:

A fruit seller buys some oranges and by selling 40% of them he realizes the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the price and sells 80% of the remaining oranges at half the previous rate of profit.

Step-by-step explanation:

16+ y =24
What is the value of y?

Answers

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

    16+y=24, What is y?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

When solving an equation, we need to make sure that all variables are on one side and all numbers are on the other side.

Since we have numbers on both sides, we need to move all of them to one side:-

[tex]\tt{16+y=24}[/tex]

[tex]\tt{y=24-16}[/tex]

[tex]\tt{y=8}[/tex]

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

Please help me solve this equation that has surface area in a cylinder question

Answers

Answer:

Where's the picture?

Step-by-step explanation:

Please provide a picture

the teacher had 9 pencils. she gave 6 pencils as prizes to the students what fraction of pencils did she have left.

Answers

Answer:

3/9 (or) 1/3 (reduced)

Step-by-step explanation:

1.  Before handing pencils to the students, the teacher had 9 out of 9 (9/9) pencils.

2.  When she gave pencils to the students, she gave them 6 of the 9 pencils (6/9)

3.  Now we do the math:

9/9 - 6/9

= 3/9 (or) 1/3 (reduced)

Therefore, the teacher now has 3/9 or 1/3 of the pencils left.

she has 3/9 or 1/3 left

PLEASE HELP!!!!!! IMA DESPRATE!!!!!!Determine whether f(x) = 2x3 − 6 is linear. If so, give the slope and y-intercept.

Answers

The slope of the cubic polynomial and it's y-intercept are respectively; f(1) = -4 and f(0) = -6

What is the slope of the equation?

We are given the equation;

f(x) = 2x³ - 6

Now, because the highest power of x is 3, it means that this is a cubic polynomial and not linear because it has a degree of 3

Thus, let us differentiate to get the slope;

f'(x) = 6x² - 6

At f'(x) = 0; x = 1

Thus, slope is;

f(1) = 2(1)³ - 6

f(1) = -4

y-intercept is f(x) at x = 0. Thus;

f(0) = 2(0³) - 6

f(0) = -6

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The local grocer is charging $17.50 for five pounds of hamburger. Determine total cost of hamburger based on the weight of the hamburger purchased.

Answers

Answer:

3.5

Step-by-step explanation:

17.50 divided by 5 is 3.5 so 1 pound is 3.5

PLS HELP THIS IS MY LAST QUESTION I NEED THIS DONE ASAP PLS DONT DELETE MY QUESTION

Answers

Answer:

10 points

Step-by-step explanation:

you just need to subtract the score in game 6 from the score in game 5

Answer:

10

Step-by-step explanation:

Look in the graph.

In game 6, use the last bar to the right in dark blue. The Tigers scored 35 points.

In game 5, use the purple bar. the Tigers scored 25 points.

To find the difference, we subtract.

35 - 25 = 10

Answer: 10

Simplify, y-8(y+12) + 4

NEED HELP​

Answers

so first distribute the 8 out then add everything together:

y-8y-96+4 = -7y-92

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{y - 8(y + 12) + 4}[/tex]

[tex]\huge\textbf{Solving:}[/tex]

[tex]\mathbf{y - 8(y + 12) + 4}[/tex]
[tex]\huge\textbf{DISTRIBUTE -8 WITHIN the}\\\\\\\huge\textbf{PARENTHESES:}[/tex]

[tex]\mathbf{= y - 8(y) - 8(12) + 4}[/tex]

[tex]\mathbf{= y - 8y - 96 + 4}[/tex]

[tex]\huge\textbf{COMBINE the LIKE TERMS:}[/tex]

[tex]\mathbf{= (y - 8y) + (-96 + 4)}[/tex]

[tex]\mathbf{= y - 8y - 96 + 4}[/tex]

[tex]\huge\textbf{Simplify it!}[/tex]

[tex]\mathbf{ = -7y - 92}[/tex]

[tex]\huge\textbf{Answer:}[/tex]

[tex]\huge\boxed{\mathbf{ -7y - 92}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

a pentagon with sides 3 4 5 6 and 7 has area 48m. find the perimeter of a similar pentagon whose area is 27m

PLS RESPOND I WILL GIVE BRAINLIEST

Answers

Answer & step-by-step explanation:

See the image attached below:

Please help me find the answer to:
12x^5 ÷ 3x^2

Answers

Graph for 12*X^5/ (3*X^2)

HELP PLEASE I NEED HELP .”!

Answers

Answer:

4 × 10^-1

Step-by-step explanation:

ask if you need further explanation

how is 0.5600 written on scientific notation

Answers

Answer:

5.6 x 10^-1

Step-by-step explanation:

give brainliest, please!

hope this helps :)

How many square centimeters are in an area of 3.30in

Answers

Answer:

8.382 cm

Step-by-step explanation:

1in = 2.54 cm

3.30 x 2.54 = 8.382 cm

please help will mark Brainliest!!​

Answers

Answer:

The answer is (-2,0)

Step-by-step explanation:

The rest of them is not a right triangle or just upside down.
Hope this helps! ;-)

A personal trainer determines that an individual will get the most benefit from a workout if they keep their heart rate at an average of 150 beats per minute during workouts. To determine if the individual is doing so successfully, a random sample of 30 workouts is selected from their fitness watch. A 95% confidence interval for these workouts reveals that the true mean heart rate while working out is between 158 and 167 beats per minute. Based upon this interval, what conclusion should be made about the hypotheses: H Subscript 0 Baseline: mu = 150 versus H Subscript alpha Baseline: mu not-equals150 where μ = this individual’s true mean heart rate during working out at α = 0.05?

Reject H0. There is convincing evidence that the mean heart rate from these 30 workouts differs from 150.
Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.
Fail to reject H0. There is not convincing evidence that the mean heart rate from these 30 workouts differs from 150.
Fail to reject H0. There is not convincing evidence that this individual’s true mean heart rate while working out differs from 150.

Answers

Using the confidence interval, it is found that the correct conclusion regarding the hypotheses test is given by:

Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.

What are the hypotheses tested?

At the null hypotheses, it is tested if the mean is of 150, that is:

[tex]H_0: \mu = 150[/tex]

At the alternative hypotheses, it is tested if the mean is different of 150, hence:

[tex]H_0: \mu \neq 150[/tex].

The confidence interval is (158, 167). Since it does not contain 150, we reject the null hypotheses, hence the correct option is:

Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.

More can be learned about confidence intervals at https://brainly.com/question/25890103

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Which is the correct rule to use when converting the complex number z = a + bi to polar coordinates?

Answers

The correct rule is the range of eligibility of evocative

make x the subject: y=x+p/x-p


step-by-step explanation please​

Answers

Answer:

x = p + yp / y - 1

Step-by-step explanation:

y = x+p / x-p

y(x-p) = x + p

y(x-p) -x = p

yx - yp - x = p

yx - x = p + yp

x(y - 1) = p + yp

x = p + yp / y - 1

Choose the conjecture that describes how to find the 6th term in the sequence 4, 20, 36, 52, ….

A)
Add 16 to 32.

B)
Add 32 to 52.

C)
Multiply 52 by 5.

D)
Multiply 52 by 9.

Answers

Answer:

B

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

20 - 4 = 36 - 20 = 52 - 36 = 16

thus to obtain the next term in the sequence add 16 to the previous term

To obtain 2 terms distant then add 16 + 16 = 32

so 6th term = 52 + 32 = 84

A large company boasts in their promotional literature that 75% of their employees have college degrees. A simple random sample of 54 employees from this company is taken, and the proportion with a college degree is calculated. If a hypothesis test were to be performed to test the company’s claim, which of the following would represent the appropriate pair of hypotheses?

Answers

The hypotheses that represent the appropriate pair of hypotheses will be H₀: p = 0.75 and Hₐ: p ≠ 0.75. Then the correct option is C.

What are null hypotheses and alternative hypotheses?

In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

A large company boasts in their promotional literature that 75% of their employees have college degrees.

A simple random sample of 54 employees from this company is taken, and the proportion with a college degree is calculated.

If a hypothesis test were to be performed to test the company’s claim.

Then the hypotheses represent the appropriate pair of hypotheses will be

H₀: p = 0.75

Hₐ: p ≠ 0.75

Thus, the correct option is C.

More about the null hypotheses and alternative hypotheses link is given below.

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On the class field trip there will be 150 students
and 10 chaperones What is the unit rate of students
per chaperone?

Answers

Answer:

The answer is 1:15

That means for every 1 chaperone, there is 15 students

what is the expression in simplest form x^2+x-2/x^3-x^2+2x-2

Answers

Answer:

[tex]\frac{-2}{x^{2} } -2[/tex]

Step-by-step explanation:

[tex]x^{2} + \frac{x-2}{x^{3} } -x^{2} +2x-2[/tex]

= [tex]\frac{-2}{x^{2} } -2[/tex]

Answer: see photo#2

Step-by-step explanation:

Find the slope of the given line. Please see attached photo. Thank you

Answers

Answer:

-2

Step-by-step explanation:

Find two points which lie on the line :

Take (-2, -1) and (-1, -3)

Formula for slope (m) :

m = y₂ - y₁ / x₂ - x₁m = -3 + 1 / -1 + 2m = -2/1m = -2

Answer: [tex]-2[/tex]

Step-by-step explanation:

[tex]Slope:m=0[/tex]

[tex]y=mx+b[/tex]

[tex]-2*10^0[/tex]

[tex]-2~is~a~rational~number[/tex]

[tex]\frac{180}{pi}[/tex]°

Which of the following figures has a circumference that is closest to 121 inches?
A
a circle with a diameter of 38.5 inches

B
a circle with a diameter of 19.3 inches

C
a circle with a radius of 38.5 inches

D
a circle with a radius of 6.2 inches

Answers

Answer:

B

a circle with a diameter of 19.3 inches

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