Suppose that $x$ is a multiple of 6 (not necessarily positive). If the square of $x$ is less than 200, how many possible values of $x$ are there

Answers

Answer 1

All multiple of 6 under 14 are: -12, -6, 0, 6, 12

How do we get 14 here:

√200= 14.142 (Round to thousandth place)

This is how many x we have found.

A multiple in math is the number you get when you multiply a certain number by using an integer. for example, multiples of 5 are: 10, 15, 20, 25, 30…, and so forth. Multiples of 7 are 14, 21, 28, 35, 42, 49…and many others.

In math, the meaning of a multiple is the product result of one number multiplied by another number. Here, 56 is a multiple of the integer 7. Here is an example of multiples: Fun facts. 0 is a multiple of every number as the product of 0 multiplied by any number is 0.

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Related Questions

if the reserve ratio is 50%, and $10,000 in new deposits is added to the banking system, how much of the new deposits is the bank required to keep on hand? (eco class
$5000

$500

$1500

$50

Answers

Step-by-step explanation:

5,000 by dividing 10.000

$5000 of the new deposits is the bank required to keep on hand.

The answer is option A.

What is problem-solving?

Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

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Jen and marcus got 15 miles up river before they ran out of gas they floated 9 miles back down river before they reached the shore how far did they get

Answers

Answer:

they reached the shore they get 135 miles

40 MORE POIMNTSSSSSSSSSSSSSSSSS

Answers

[tex]y = \sqrt[3]{x + 10} [/tex]

[tex]x = \sqrt[3]{y + 10} [/tex]

[tex]x {}^{3} = y + 10[/tex]

[tex]y = {x}^{3} - 10[/tex]

Letter B

The answer is better B

Solve each of the following by using the general quadratic formula: (2 decimal places)

Answers

The solutions to the given quadratic equation [2x² - 3x - 4 = 0] are x = 2.35, -8.85.

The solutions to the given quadratic equation [x² + 2x + 2 = 0] are x = -1+i, -1-i.

What are the solutions to the quadratic equation?

Given the equation for the general quadratic formular;

[ -b±√( b² - 4(ac)) ]/2a

a) 2x² - 3x - 4 = 0

a = 2b = -3c = -4

We substitute into the equation.

x = [ -(-3)±√(-3)² - 4( 2 × -4 )) ] / 2×2

x = [ 3±√9 + 32 ] / 4

x = [ 3±√41 ] / 4

x = [ 3+√41 ] / 4, [ 3-√41 ] / 4

x = 2.35, -8.85

The solutions to the given quadratic equation [2x² - 3x - 4 = 0] are x = 2.35, -8.85

b) x² + 2x + 2 = 0

a = 1b = 2c = 2

We substitute into the equation.

x = [ -2±√( 2² - 4( 1×2 )) ] / 2×1

x = [ -2±√( 4 - 8) ] / 2

x = [ -2±√(-4) ] / 2

Lets re-write -4 as -1( 4 )

x = [ -2±√( -1 × 4) ] / 2

x = [ -2±√4 × √-1 ] / 2

Write √-1 as i

x = [ -2±√4 × i] / 2

x = [ -2± 2 × i] / 2

x = 2[ -1 ± i] / 2

x = (-1 ± i)

x = -1+i, -1-i

The solutions to the given quadratic equation [x² + 2x + 2 = 0] are x = -1+i, -1-i.

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If diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building? round the answer to the nearest tenth of a foot. 10.3 ft 17.6 ft 30.2 ft 97.2 ft

Answers

Answer:

17.6 ft

Step-by-step explanation:

tan 37 = 130/x

x = 130/tan 37 = 130/0.7536 = 172.5 feet

tan 40 = 130/y

y = 130/tan 40 = 130/0.8391 = 154.9

172.5 - 154.9 = 17.6 ft

Answer:

17.6 Ft

Step-by-step explanation:

Geometry B E2020!! :3

Please help question in the picture

Answers

Answer:

D

Step-by-step explanation:

D is correct because the sqrt of 91 is 9.5 and 9<9.5<10 makes absolute sense

C is not correct because the sqrt of 33 is 5.7 and 6<5.7<7 does not make sense

B is not correct because the sqrt of 13 is 3.6 and 4<3.6<5 does not make sense

A is not correct because the sqrt of 65 is 8.06 and 7<8.06<8 does not make sense

What other circle theorems can cyclic quadrilaterals can be related to? Explain how.

Answers

The circle theoremss that cyclic quadrilaterals can be related to include:

Every corner of the quadrilateral touches the circumference of the circle. The ratio between the diagonals and the sides can be defined.The product of the diagonals is equal to the sum of the product of its two pairs of opposite sides.

What is a cyclic quadrilateral?

It should be noted that cyclic quadrilateral simply means a quadrilateral that's drawn inside a circle.

In this case, every corner of the quadrilateral must touch the circumference of the circle.

Also, the product of the diagonals is equal to the sum of the product of its two pairs of opposite sides.

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Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random with replacement. Define the random variable X X as the number of defective cameras in the sample. Write the binomial probability distribution for X X . Round to two decimal places. X X P ( X ) P(X) What is the expected value of X X ? Round to two decimal places.

Answers

The Expected value of XX is 1.00.

Given that a box contains 8 cameras and that 4 of them are defective and 2 cameras is selected at random with replacement.

The probability distribution of the hypergeometric is as follows:

[tex]P(x,N,n,M)=\frac{\left(\begin{array}{l}M\\ x\end{array}\right)\left(\begin{array}{l}N-M\\ n-x\end{array}\right)}{\left(\begin{array}{l} N\\ n\end{array}\right)}[/tex]

Where x is the success in the sample of n trails, N represents the total population, n represents the random sample from the total population and M represents the success in the population.

The probability distribution for X is obtained as below:

From the given information, let X be a random variable, that denotes the number of defective cameras following hypergeometric distribution.

Here, M = 4, n=2 and N=8

The probability distribution of X is obtained below:

The probability distribution of X is,

[tex]P(X=x)=\frac{\left(\begin{array}{l}5\\ x\end{array}\right)\left(\begin{array}{l}8-5\\ 2-x\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}[/tex]

The probability distribution of X when X=0 is

[tex]\begin{aligned}P(X=0)&=\frac{\left(\begin{array}{l}4\\ 0\end{array}\right)\left(\begin{array}{l}8-4\\ 2-0\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left(\begin{array}{l}4\\ 0\end{array}\right)\left(\begin{array}{l}4\\ 2\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left[\left(\frac{4!}{(4-0)!0!}\right)\times \left(\frac{4!}{(4-2)!2!}\right)\right]}{\left(\frac{8!}{(8-2)!2!}\right)}\\ &=0.21\end[/tex]

The probability distribution of X when X=1 is

[tex]\begin{aligned}P(X=1)&=\frac{\left(\begin{array}{l}4\\ 1\end{array}\right)\left(\begin{array}{l}8-4\\ 2-1\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left(\begin{array}{l}4\\ 1\end{array}\right)\left(\begin{array}{l}4\\ 1\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left[\left(\frac{4!}{(4-1)!1!}\right)\times \left(\frac{4!}{(4-1)!1!}\right)\right]}{\left(\frac{8!}{(8-2)!2!}\right)}\\ &=0.57\end[/tex]

The probability distribution of X when X=2 is

[tex]\begin{aligned}P(X=2)&=\frac{\left(\begin{array}{l}4\\ 2\end{array}\right)\left(\begin{array}{l}8-4\\ 2-2\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left(\begin{array}{l}4\\ 2\end{array}\right)\left(\begin{array}{l}4\\ 0\end{array}\right)}{\left(\begin{array}{l} 8\\ 2\end{array}\right)}\\ &=\frac{\left[\left(\frac{4!}{(4-2)!2!}\right)\times \left(\frac{4!}{(4-0)!0!}\right)\right]}{\left(\frac{8!}{(8-2)!2!}\right)}\\ &=0.21\end[/tex]

Use E(X)=∑xP(x) to find the expected values of a random variable X.

The expected values of a random variable X is obtained as shown below:

The expected value of X is,

E(X)=∑xP(x-X)

E(X)=[(0×0.21)+(1×0.57)+(2×0.21)]

E(X)=[0+0.57+0.42]

E(X)=0.99≈1

Hence, the binomial probability distribution of XX when X=0 is 0.21, when X=1 is 0.57 and when X=2 is 0.21 and the expected value of XX is 1.00.

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AC and BD bisect eachother prove AB || CD and BC ll AD

Answers

1) [tex]\overline{AC}[/tex] and [tex]\overline{BD}[/tex] bisect each other (given)

2) [tex]\overline{AE} \cong \overline{EC}[/tex] (a bisector splits a segment into two congruent parts)

3) [tex]\overline{BE} \cong \overline{ED}[/tex] (a bisector splits a segment into two congruent parts)

4) [tex]\angle BEA \cong \angle CED[/tex] (vertical angles are congruent)

5) [tex]\triangle BEA \cong \triangle DEC[/tex] (SAS)

6) [tex]\angle EBA \cong \angle EDC[/tex] (CPCTC)

7) [tex]\overline{AB} \parallel \overline{CD}[/tex] (converse of alternate interior angles theorem)

8) [tex]\angle DEA \cong \angle BEC[/tex] (vertical angles are congruent)

9) [tex]\triangle AED \cong \triangle BEC[/tex] (SAS)

10) [tex]\angle BCE \cong \angle EAD[/tex] (CPCTC)

11) [tex]\overline{BC} \parallel \overline{AD}[/tex] (converse of alternate interior angles theorem)

Write an algebraic equation to match this graph.

Answers

Using translation concepts, the algebraic equation that matches the graph is given by:

y = |x - 1| - 1

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the function y = |x| is:

Shifted one unit right, hence x -> x - 1.Shifted one unit down, hence y -> y - 1.

Thus the algebraic equation that matches the graph is given by:

y = |x - 1| - 1

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Prism A is similar to Prism B. The volume of Prism A is 4320 cm³.

What is the volume of Prism B?


34,560 cm³

2160 cm³

1080 cm³

540 cm³
Rectangular prism A has a right angle in one corner of its base, and one side of the base is twelve centimeters. Rectangular prism B has a right angle in one corner of its base, and the same one side of the base is six centimeters.

Answers

Answer:

D

Step-by-step explanation:

Omar is playing a computer game. He starts with 0 points wins 8 points loses 6 points 4 times and the wins 2 points. Which integer represents Omar’s score

Answers

The integer that represents Omar's score is -14.

What is the  integer represents Omar’s score?

Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero.

When Omar wins, the points are added and when he losses, the points are subtracted.

0 + 8 - (6 x 4) + 2

0 + 8 - 24 + 2 = -14

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Riddle-if you solve it i will delete your answer and you have to post the riddle. Riddle-you enter a room. 2 dogs, 4 horses, 1 giraffe and a duck are lying on the bed. 3 chickens are flying over a chair. How many legs are on the ground? don’t play if you’re not to continue.

Answers

Considering the number of legs of each animal, it is found that there are 56 legs on the ground.

How many legs does each animal have?

Dogs have 4 legs.Horses have 9 legs.Giraffes have 4 legs.Ducks have 2 legs.Chickens have 2 legs.

Hence the number of legs on the ground is given by:

N = 2 x 4 + 4 x 9 + 1 x 4 + 1 x 2 + 3 x 2 = 56.

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For how many (not necessarily positive) integer values of n is the value 4000x(0.4)^n an integer?

I solved this, nevermind!

Answers

The number of integer values of n for which the value 4000 × (0.4)ⁿ is an integer is; 9

How to find the integer values in algebra?

We are given the expression;

4000 × (0.4)ⁿ

This can also be expressed as;

4000 × (²/₅)ⁿ which can further be expressed in exponent form as;

(2⁵ × 5³) × (²/₅)ⁿ = 2⁽⁵ ⁺ ⁿ⁾ × 5⁽³ ⁻ ⁿ⁾

Since this expression is an integer, we need:

1) 5 + n ≥ 0 for which n ≥ -5

2) 3 - n ≥ 0 for which n ≤ 3

Taking the intersection gives;

-5 ≤ n ≤ 3

Thus;

Number of Integer Values = 3 - (-5) + 1 = 9

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You have just started a colony on Mars. One of the biggest concerns for the colony is government. What is your colony going to do? You must discuss three topics. First, of the five government types discussed in the lesson, what type will you use to make sure your colony operates smoothly? Second, what powers will your government have, and what powers will the people living in the colony have? Third, explain why you believe the government type you choose is the best option for your colony. please help

Answers

Answer:

we will use democracy so that everyone gets a say in what happens to the colony, second the government will make the decisions and the people will provide options and different ideas, and i believe its the best type because everyone has a say in what happens and the government isn't too powerful and has as much power as the people do.

Step-by-step explanation:

I dnt really understand WILL GIVE BRAINLIEST THOUGH

Answers

Answer: (1, -5)


x = 1


y = -5


*Hope this helps, enjoy the rest of your day! ♥️*

Answer: (1, -5)

Step-by-step explanation:

I got you...

In solving system of equations there are three ways..

lets use addition

First we need to cancel out one of the variables

Lets cancel out the y

In order to do this lets multiply the top equation by -2 to get 2y and 4y to cancel out.

(-2)(-9x+2y) = -19(-2)

18x - 4y = 38

Now our system looks like this:

18x - 4y = 38

5x  + 4y = -15

lets add these together

18x - 4y = 38

5x  + 4y = -15   +

= 23x = 23

x = 1

We know x = 1, so substitude 1 for x in one of the equations

5(1) + 4y = -15

5 + 4y = -15

4y = -20

y = -5

This is the y value

Our final answer is (1, -5)

As an ordered pair

find the perimeter of each of the rectangles whose sides are given as follows a. 5.5cm and 4.8 cm​

Answers

Answer:

here is what I came up with 26.4

What is the quotient of startfraction negative 8 x superscript 6 baseline over 4 x superscript negative 3 baseline endfraction?

Answers

The fractional number given has a quotient of -2x⁹.

Given that (-8x⁶)÷(4x⁻³) is the fractional number.

The resultant number obtained by dividing two numbers is known as the quotient. Let's divide number a by number b. Then, q=a÷b will be these two numbers' quotient.

Here are the actual numbers (a,b).

In this case,the fraction is (-8x⁶)÷(4x⁻³).

Assume that q=(-8x⁶)÷(4x⁻³)

If you write the denominator variable as x⁻¹=1÷x, you obtain

[tex]\begin{aligned}q&=\frac{-8x^6}{4\frac{1}{x^3}}\\ &=\frac{-8x^6\times x^3}{4}\end[/tex]

As we are aware, if two numbers are multiplied together and their bases are the same, their powers can be represented as sums, such as

q=(-8x⁶⁺³)÷(4)

q=(-8x⁹)÷(4)

By dividing the numerator by the denominator, we get

q=-2x⁹

Hence,the given fraction (-8x⁶)÷(4x⁻³) has a quotient of -2x⁹.

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Answer: option D -2x^9 on edge 2023

Step-by-step explanation:

please help me im in a rush

Answers

Answer:

[tex] \frac{x}{y} = \frac{10}{5} \\ = \frac{5}{1} [/tex]

1. •°• y is 5 times x

[tex] \frac{x}{y} = \frac{30}{5} \\ = \frac{6}{1} [/tex]

2. •°• y is 6 times x

[tex] \frac{x}{y} = \frac{56}{8} \\ = \frac{7}{1} [/tex]

3. •°• y is 7 times x

[tex] \frac{x}{y} = \frac{88}{11} \\ = \frac{8}{1} [/tex]

4. •°• y is 8 times x

[tex]2 \times \frac{7}{4} [/tex]

•°• y is 2 times x

[tex]5 \times \frac{7}{4} [/tex]

•°• y is 5 times x

[tex]8 \times \frac{7}{4} [/tex]

•°• y is 8 times x

[tex]11 \times \frac{7}{4} [/tex]

•°• y is 11 times x

Line l has slope −4/5, and contains points (a,−6),(−8,a). Determine the value of a. SHOW YOUR WORK

Answers

Answer:

a = 2

Step-by-step explanation:

[tex] \frac{a - ( - 6)}{ - 8 - a} = - \frac{4}{5} [/tex]

[tex] \frac{a + 6}{a + 8} = \frac{4}{5} [/tex]

[tex]4(a + 8) = 5(a + 6)[/tex]

[tex]4a + 32 = 5a + 30[/tex]

[tex]a = 2[/tex]

Which is larger? a or -a

Answers

Answer:

a. a is bigger than -a

b. a is equal to -a

c. a is less than -a

Step-by-step explanation:

Let's say a = 2

If a > 0, 2 > -2

If a = 0, 0 = -0; -0 and 0 are the same

Let's say a = -1

If a < 0, -1 ? -(-1)

-1 < 1

the question is in the attached picture​

Answers

Answer: [tex]\frac{1}{3} \sin x^{3}+C[/tex]

Step-by-step explanation:

Let [tex]u=x^3[/tex]. Then, [tex]3x^2 dx = du \longrightarrow x^2 dx =\frac{1}{3}du[/tex]

So, we can rewrite the original integral as

[tex]\frac{1}{3} \int \cos u \text{ } du=\frac{1}{3} \sin u+C=\frac{1}{3} \sin x^{3}+C[/tex]

please help me im in a rush 25 points

Answers

Answer:

74 yards squared

Step-by-step explanation:

Divide the shape up into 2 3x5 rectangles and one 11x4 rectangle

2(3x5)+11x4=30+44=74

74 yards squared

PLEASE HELP I NEED THIS SOON! The monthly revenue of a digital magazine from each user is represented by the function f(x) = 4x + 1. The monthly cost to provide the digital magazine to each user per month is represented by the function g(x) = x2. Which of the following evaluates the profit function for each user of the digital magazine after 2 months?

A (f • g)(2) = (4(2) + 1)(22) = (9)(4) = $36
B (f + g)(2) = (4(2) + 1) + 22 = 9 + 4 = $13
C (g − f)(2) = 22 − (4(2) + 1) = 4 − 9 = −$5
D (f − g)(2) = (4(2) + 1) − 22 = 9 − 4 = $5

Answers

Answer:

The answer is D(f-g)

Step-by-step explanation:

Profit minus expenses

Answer:

D

Step-by-step explanation:

The profit can be defined as (cost of production) - (revenue) and since the cost is defined as g(x) = x^2 and the revenue is f(x) = 4x+1. The profit can be defined as [tex](f-g) = (4x+1)-x^2 = -x^2+4x+1[/tex]. After 2 months you can calculate the profit by simply plugging in 2 as x. This gives you the equation: [tex](f-g) = (4(2) + 1) - 2^2 = 9-4 = 5\$[/tex]

Please help ill give whoever answers the best the brainliest answer :0

Answers

Expression (5x² - 2x + 7), ([tex]\frac{1}{5}x^3 -\frac{7}{2}x^2 -2[/tex]) and (y⁵ - √(5y²) + 7) are polynomials.

What is a polynomial ?

A polynomial is a type of algebraic expression where exponents of all variables are whole number.

1) 5x² - 2x + 7

Since there are no variables raised to negative or fraction exponents,

the expression is a polynomial.

2) [tex]\frac{1}{5}x^3 -\frac{7}{2}x^2 -2[/tex]

Since there are no variables raised to negative or fraction exponents,

the expression is a polynomial.

3) y⁵ - √(5y²) + 7

This can be re-written as

[tex]y^5-(\sqrt{5})y+7[/tex]

Since there are no variables raised to negative or fraction exponents,

the expression is a polynomial.

4) [tex]\frac{y^3}{3} -\sqrt{y} +2[/tex]

This can be re-written as

[tex]\frac{1}{3}y^2 -y^{1/2}+2[/tex]

Since variable y is raised to a fraction exponent,

the expression is not polynomial.

Therefore, expression (5x² - 2x + 7), ([tex]\frac{1}{5}x^3 -\frac{7}{2}x^2 -2[/tex]) and (y⁵ - √(5y²) + 7) are polynomials.

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i need help fast please​

Answers

Answer:

The answer is 540 mm^3

Step-by-step explanation:

using v= BH

v= 30×18

v= 540mm^3

pls like and follow, hope this helps.:-):-)

Please help me with this linear inequalities as graphs question!
I'd really appreciate if you added workings out and explained it a bit, as I'm terribly stuck.

Answers

The system of linear inequalities which satisfy the region R in the graph above are:

y ≤ 2x + 3y ≥ -x + 4y ≤ x + 4

How to find the inequalities?

Mathematically, the general equation of a straight line is given by y = mx + b.

In order to determine the system of linear inequalities that satisfy the region R, we would identify the points through which these straight lines passes through.

For the left line, we have:

y-intercept = 3.

x-intercept = -3/2.

Points (x, y) = (0, 3) and (-3/2, 0).

Thus, the inequality is given by:

(x/-3/2) + y/3 ≤ 1.

-2x + y ≤ 3

y ≤ 2x + 3

For the right line, we have:

y-intercept = 4.

x-intercept = 4.

Points (x, y) = (0, 4) and (4, 0).

Thus, the inequality is given by y ≥ -x + 4

For the lower line, we have:

y-intercept = 0.

x-intercept = 4.

Points (x, y) = (4, 0)

Thus, the inequality is given by y ≤ x + 4

In conclusion, the system of linear inequalities which satisfy the region R in the graph above are:

y ≤ 2x + 3y ≥ -x + 4y ≤ x + 4

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Are these two angles corresponding?

Answers

Answer:

Yes they are

Step-by-step explanation:

Because AE and FD both make a 50 degree angle with AC they are parallel which means that the two angles are corresponding.

The slope of the line below is 3. Use the coordinates of the labeled point to
find a point-slope equation of the line.
A. y-6-3(x-8)
B. y-8--3(x-6)
C. y-6--3(x-8)
D. y-8-3(x-6)
10
(6,8)
10

Answers

The point-slope equation of the line is y - 8 = 3(x - 6)

How to determine the equation?

The points are given as:

(x1, y1) = (6, 8)

The slope is given as:

m= 3

The equation is then calculated as:

y - y1 = m(x - x1)

This gives

y - 8 = 3(x - 6)

Hence, the point-slope equation of the line is y - 8 = 3(x - 6)

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A function g(x) has x-intercepts at (startfraction 1 over 2 endfraction, 0) and (6, 0). which could be g(x)?

Answers

If function has points (1/2,0) and (6,0) then [tex]g(x)=2x^{2} -13x+6\\[/tex]

Given x-intercepts at (1/2,0)(6,0) and we have to find the function g(x)

If the x-intercepts lie at (1/2,0)(6,0) then the function has roots of 6 and 1/2. Function is a relationship between variables having value of y for each value of x. Value of x is domain and value of y is known as codomain.

If we insert x=6 or x=1/2 into the equation of g(x) we will obtain 0 as under:

g(6)=0

In order to get 0 the equation will be x-6.

In order to get 0 for root the equation will be x-1/2.

but x-1/2 does not appear in any of these but its multiples can be there :

[tex]2(x-1/2)=2x-1[/tex]

Therefore the function will be as under:

[tex]g(x)=(x-6)(2x-1)[/tex]

[tex]g(x)=2x^{2} -x-12x+6[/tex]

[tex]g(x)=2x^{2} -13x+6[/tex]

Hence the function g(x) is [tex]g(x)=2x^{2} -13x+6[/tex].

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Other Questions
The Surface Area of a square pyramid is 3600 ft2. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cubic blocks can be stuffed in the pyramid?(*Some of the blocks might have to be cut up to fit into crevices*) What is 10 1/2 divded by 2 1/4? Sunland Company uses a perpetual inventory system. Its beginning inventory consists of 83 units that cost $56 each. During June, (1) the company purchased 248 units at $56 each on account, (2) returned 10 units for credit, and (3) sold 206 units at $83 each on account. Journalize the June transactions. Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O A is 3. The length of A A prime is 9.Triangle ABC is dilated to create triangle A'B'C' using point O as the center of dilation.What is the scale factor of the dilation?One-third34One-fourth The work required to accelerate an object initially at rest to a speed v0 is W. What is the additional work needed to increase its speed from v0 to 2v0? Group of answer choices W W/2 2W 3W None of them what is something you do that can be set up as a two- step equation? how would you set that up as an equation to explain to someone else how it can be solved? How long does it generally take the body to metabolize one alcoholic drink equivalent?. Read the poem and answer the question.[1]) wandered lonely as a cloudThat floats on high o'er vales and hills,When all at once I saw a crowd.A host, of golden daffodils;[5]Beside the lake, beneath the trees,Fluttering and dancing in the breeze.Continuous as the stars that shineAnd twinkle on the milky way,They stretched in never-ending line[10]Along the margin of a bay:Ten thousand saw I at a glance,Tossing their heads in sprightly dance.The waves beside them danced; but theyOut-did the sparkling waves in glee:[15]A poet could not but be gay.In such a jocund company.I gazed-and gazed-but little thoughtWhat wealth the show to me had brought:For oft, when on my couch I lie[20]In vacant or in pensive mood,They flash upon that inward eyeWhich is the bliss of solitude;And then my heart with pleasure fills,And dances with the daffodils.Line three signals a tone shift from sadness toO concernO curiosityO humorOwonder the results of a poll indicate that between 33% and 37% of the population of a town visit the library at least once a year. what is the polls margin of error? Which set of coordinates most accurately locates the boundary between the jurassic shales and mudstones and the cretaceous shales and sandstones?. (2, -7) and (4, -13) A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are given:50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45Which of the following histograms is the best representation of the data?a.A histogram with frequency on the x-axis and ages on the y-axis. 20 to 24, 2; 25 to 29, 2; 30 to 34, 5; 35 to 39, 4; 40 to 44, 5; 45 to 49, 5; 50 to 54, 1; 55 to 59, 1.b.A histogram with frequency on the x-axis and ages on the y-axis. 20 to 24, 4; 25 to 29, 1; 30 to 34, 6; 35 to 39, 2; 40 to 44, 5; 45 to 49, 5; 50 to 54, 3; 55 to 59, 4.c.A histogram with ages on the x-axis and frequency on the y-axis. 20 to 24, 2; 25 to 29, 2; 30 to 34, 5; 35 to 39, 4; 40 to 44, 5; 45 to 49, 5; 50 to 54, 1; 55 to 59, 1.d.A histogram with ages on the x-axis and frequency on the y-axis. 20 to 24, 4; 25 to 29, 1; 30 to 34, 6; 35 to 39, 2; 40 to 44, 5; 45 to 49, 5; 50 to 54, 3; 55 to 59, 4.Please select the best answer from the choices providedABCD Graph the set x-6 x < -2} on the number line.Then, write the set using interval notation. How many atoms are present in 8.78 grams O2? When attracting new clients, which of the following is the most effective way for a trainer to find new prospects? Post on social media Hand out flyers at the grocery store Get referrals from clients Hire an advertising firm A garden table and a bench cost 735 combined. The garden table costs 35 more than the bench. What is the cost of the bench? The perimeter of a square field is 336 yards. How long is each side? What is the distance between the points (3, 6) and (4, 2)?Select the best answer from the choices provided.A. 113B. 65C. 50D. 17 Which of the following is a safety precaution to take in order to avoid wildlife?A. Make plenty of noise.B. Do not wear anything scented.C. Stay away from food and water sources.D. All of the above. Polonium-208 is an alpha emitter with a half-life of 2.90 years. How many milligrams of polonium from an original sample of 2.00 mg will remain after 8.00 years