A function g(x) has x-intercepts at (StartFraction 1 Over 2 EndFraction, 0) and (6, 0). Which could be g(x)? g(x) = 2(x + 1)(x + 6) g(x) = (x – 6)(2x – 1) g(x) = 2(x – 2)(x – 6) g(x) = (x + 6)(x + 2)

Answers

Answer 1

Answer:

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

Step-by-step explanation:

[tex]g(x)[/tex] intercepts the x-axis at these 2 points:

[tex](6,0) ;(1/2,0)[/tex]

⇒ 6 and 1/2 are roots ie; if you insert [tex]x=6[/tex] or [tex]x=1/2[/tex] into the equation of g(x) you will obtain a 0.

[tex]g(6) = g(1/2) = 0[/tex]

now in order for 0 to appear we should have [tex]x-6[/tex]

now in order for 0 to appear we should have [tex]x-1/2[/tex]

but  [tex]x-1/2[/tex] doesn't appear in any of these, but its multiple of 2 is there:

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

Therefore the function;

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

Answer 2

Answer:

b

Step-by-step explanation:


Related Questions

Chelsey puts twelve colored pieces of chocolate candy in a bag. Three pieces are green, four pieces are yellow, two pieces are purple, and three pieces are red. She draws one piece of candy from the bag at a time and eats it.
A. What is the probability that Chelsey will draw out three pieces of candy in this order: red, green, yellow?
B. What is the probability that Chelsey will draw out three pieces of candy in this order: green, yellow, red?
C. What is the probability that Chelsey will draw out three pieces of candy in this order: yellow, red, green? D. Make a conclusion about how the order in which she draws out the red, green, and yellow pieces affects the probability.

Answers

The probabilities are as follows A.3/10, B. 1/5, C. 1/10, D.  2/5

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Letitia tells her son, Evan, to close his eyes and pick out one piece of candy from the package. Calculate the probability of selecting each colour of candy.

The probability will be calculated as:-

The probability that Chelsey will draw out three pieces of candy in this order: red, green, yellow

3/10

The probability that Chelsey will draw out three pieces of candy in this order: green, yellow, red

1/5

The probability that Chelsey will draw out three pieces of candy in this order: yellow, red, green

1/10

The order in which she draws out the red, green, and yellow pieces affects the probability.

2/5

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is the square root of 29 rational or irrational?

Answers

Answer:

irrational

Step-by-step explanation:

rational - a number that can turn into a fraction (you could do this with a perfect square)

Irrational - a number that cannot be expressed as a fraction

The square root of 29 is an irrational number because it can not be expressed as a fraction.

To determine whether the square root of 29 is rational or irrational, we need to check if it can be expressed as a fraction (ratio) of two integers.

Assuming that the square root of 29 is rational, we can represent it as √29 = a/b, where a and b are integers with no common factors other than 1, and b is not equal to 0.

Squaring both sides of the equation (√29)² = (a/b², we get 29 = (a²)/(b²).

This implies that 29 is equal to the ratio of two integers (a²)/(b²), which means that 29 can be expressed as a fraction. However, this is not true because 29 is a prime number and cannot be written as a fraction of two integers.

Therefore, the square root of 29 cannot be expressed as a fraction and is therefore irrational.

Hence, the square root of 29 is an irrational number.

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please help with this​

Answers

Answer:

158m^3

Step-by-step explanation:

First, let's figure out the total amount of water in the tank.

It measures 4.5m by 6m by 8m. The volume of a rectangular prism is V=lwh.

Therefore, the volume is:

[tex]V=(4.5)(6)(8)=216 m^3[/tex]

We are told is it filled to the brim, so we can conclude that there are 216 cubic meters of water in the tank.

We used 58 cubic meters of water, so we simply need to subtract that from 216:

[tex]216m^3-58m^3=158m^3[/tex]

There is still 158 cubic meters of water left in the tank.

Answer:

158 m^3

Step-by-step explanation:

Volume of the tank

= 4.5 * 6 * 8

= 216 m^3.

So amount left in the tank

= 216 - 58

= 158 m^3.

Simplify 27^2. _______ a0 Simplify 13^2. _______ a0

Answers

Answer:

Step-by-step explanation:

27^2 = 729

13^2 =169

Answer:

1) [tex]\boxed{729}[/tex]

2) [tex]\boxed{169}[/tex]

Step-by-step explanation:

1) 27²

This means 27 is being multiplied 2 times.

So,

=> 27*27

=> 729

2) 13²

This means 13 is being multiplied 2 times

So,

13*13

=> 169

Which equation represents a line that has a slope of Negative one-half and passes through point (4, –5)? y = negative one-half x + three-halves y = negative one-half x + StartFraction 13 Over 2 EndFraction y = negative one-half x minus 7 y = negative one-half x minus 3

Answers

Answer:

y = (-1/2)x - 3

Step-by-step explanation:

Please present the equation symbolically instead of in words:

m = -1/2, passing through (4, -5):

Using the slope-intercept formula y = mx + b, and using m = -1/2, x = 4 and y = -5, we get:

-5 = (-1/2)(4) + b, or -5 = -2 + b.  Then b = -3 and the desired equation is:

y = (-1/2)x - 3

y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)

What is the equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given that a line has slope -1/2 and passes through point (4, -5)

The standard equation of a line is y = mx + c where m is the slope of the line.

Solving for c,

-5 = -1/2*4 + c

c = -3

Hence, y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)

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Jon has to choose which variable to solve for in order to be able to do the problem below in the most efficient manner. 6 x + 3 y = 27. 5 x + 2 y = 21. Which variable should he choose so that he can use substitution to solve the system?

Answers

Answer:

Your answer is A

Step-by-step explanation:

By using substitution method, we obtained the solution of equations (3, 3).

The given linear system of equations are 6x+3y=27 and 5x+2y=21.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Using substitution method we can solve given equations

6x+3y=27 can be written as 2x+y=9 ----------(I)

5x+2y=21 ----------(II)

From equation (I), we have y=9-2x

Substitute y=9-2x in equation (II), we get

5x+2(9-2x)=21

⇒ 5x+18-4x=21

⇒ x=21-18

⇒ x=3

Substitute x=3 in equation (I), we get

2(3)+y=9

⇒ y=3

Therefore, by using substitution method, we obtained the solution of equations (3, 3).

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Carla bought quail eggs for 10 cents each. She bought 42 eggs. How much did she pay for
the eggs?

Answers

Answer:

420 cents or $4.20

Step-by-step explanation:

if each egg is 10 cents then

U MULTIPLY 42*10=X

420=X

SO 420 CENTS OR 4.20$

HOPE I HELPED

CAN I GET BRAINLIEST PLS?

                 -ZYLYNN

Reflect the given preimage over y=−1 followed by y=−7. Find the new coordinates. What one transformation is this double reflection the same as? (Note: when you are reflecting over a y= line, the x-values of the preimage will remain the same and you will be changing the y-values)

Answers

Answer:

Reflecting over y = -1 line:

A'(8, -10)

B'(10, -8)

C'(2, -4)

Reflecting over y = -7 line:

A''(8, -4)

B'(10, -6)

C''(2, -10)

Step-by-step explanation:

Reflect the given preimage over y=−1 followed

by y=−7. Find the new coordinates. What one transformation is this double reflection the same as? (Note: when you are reflecting over a y= line, the x-values of the preimage will remain the same and you will be changing the y-values)

The coordinates of the preimage are:

A(8,8)

B(10,6)

C(2,2)

Answer: Reflecting over y = -1:

If a point is reflected over a y line, the x values remain the same while the y values change.

For point A(8, 8): The y distance between the y = - 1 line and point A is 9 units. (8- (-1)). If point A is reflected, the y value would be 9 units below the y = -1 line, i.e the new y coordinate would be at -10 (-1-9)

The new coordinate is at A'(8, -10)

For point B(10, 6): The y distance between the y = - 1 line and point B is 7 units. (6- (-1)). If point B is reflected, the y value would be 7 units below the y = -1 line, i.e the new y coordinate would be at -8 (-1-7)

The new coordinate is at B'(10, -8)

For point C(2, 2): The y distance between the y = - 1 line and point C is 3 units. (2- (-1)). If point C is reflected, the y value would be 3 units below the y = -1 line, i.e the new y coordinate would be at -4 (-1-3)

The new coordinate is at C'(2, -4)

Reflecting over y = -7 line:

For point A'(8, -10): The y distance between the y = - 7 line and point A' is 3 units. (-7- (-10)). If point A' is reflected, the y value would be 3 units above the y = -7 line, i.e the new y coordinate would be at -4 (-7+3)

The new coordinate is at A''(8, -4)

For point B'(10, -8): The y distance between the y = - 7 line and point B' is 1 units. (-7- (-8)). If point B' is reflected, the y value would be 1 units above the y = -7 line, i.e the new y coordinate would be at -6 (-7 + 1)

The new coordinate is at B'(10, -6)

For point C'(2, -4): The y distance between the y = - 7 line and point C' is 3 units. (-4- (-7)). If point C' is reflected, the y value would be 3 units below the y = -7 line, i.e the new y coordinate would be at -10 (-7-3)

The new coordinate is at C''(2, -10)

We can also see that h= −7−(−1)=−6. We know that two reflections is the same as a translation of 2h  units down. So 2(−6) is a translation of −12 units down.

Which equation has a graph that is perpendicular to the graph of 4x - 2y = 1?
Select one:
O a. y = -2x + 8
O b. 6x - 3y = 9
O c. 2x + 4y = -1

Answers

Answer:

C

Step-by-step explanation:

2 is the opposite of -1/2, so reciprocals line up for perpendicularity

The answer is C:2x+4y=-1

Pls help xDDDDD thx!

Answers

Answer:

-25

Step-by-step explanation:

-25 is your answer
Tell me if you need an explanation :)

The ten's digit in a two-digit number is 1 greater than the one's digit. If we interchange the digits in the number, we obtain a new number that, when added to the original number, results in the sum 187. Find this number.

Answers

Answer:

98

Step-by-step explanation:

Let's say the tens place is x and the ones place is y.

The tens place is one more than the one's place:

x = y + 1

Reversing the digits, plus the original number, is 187:

(10x + y) + (10y + x) = 187

11x + 11y = 187

x + y = 17

Substituting:

y + 1 + y = 17

2y = 16

y = 8

x = 9

The number is 98.

The answer is 98........

HELPPPP HURRYYYYYYY A bag contains 150 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 9 red marbles, 15 green marbles, and 6 blue marbles. Predict how many green marbles are in the bag.

Answers

Answer:

75 green marbles

Step-by-step explanation:

From the information given in the question, we can create a ratio representing all the marbles in the bag.

9 red:15 green:6 blue

We need to find the total number of times the student drew a marble by finding the sum

9+15+6= 30

The sample size is 30

150 is 5x the amount of 30, that means we need to multiply the given information by 5 to predict the number of green marbles

9x5=45

15x5=75

6x5=30

Now we have 45 red: 75 green: 30 blue

Based on the given information, we can predict that the bag contains 75 green marbles

If A = 8! and B = 8P8, then which one of the following is true: A > B not enough information A < B A = B

Answers

Answer:

A = B

Step-by-step explanation:

A = 8!  = 8*7*6*5*4*3*2*1 = 40320

B = 8P8 = 8! / ( 8-8)! = 8! = 0! = 8! /1 = 8! = 40320

A = B

simplify the expression
[tex]8p + 10 + - 2p - 1 + 10[/tex]

Answers

Answer:

6p+19

Step-by-step explanation:

combine like terms:

8p+10+-2p+-1+10

(8p+-2p)+(10+-1+10)

6p+19

HOPE THIS HELPS!!!!!!:)

Please Help the question is below!!!

Answers

Answer:

A is right its acute angle

Step-by-step explanation:

because supplementary is 180

therefore A +B = 180

since we know A

B = 180- A

B = 73

which is an acute angle as its less than 90

pls mark me brainliest pls

Answer:

Step-by-step explanation:

(a) Acute

A=107 deg

B=?

given A+B=180

=> B=180-A

      = 180-107

      = 73

SO, B is an acute angle.

Select all that apply. To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct? Please help! D:

Answers

Answer:

Hey there!

We can't compare two measurements without converting them to  the same units. Thus, we use proportions to make all the values into the same unit.

[tex]12.5 cm(\frac{10 milimeters}{1 centimeter})[/tex], which converts to centimetres to millimetres.

12.5 cm=125 mm.

Now, we can compare the values of 125 mm and 140 mm.

Clearly, we see that 140 mm is greater than 125 mm.

Let me know if this helps :)

Answer:

If this is your question:

Select all that apply.

To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct?

[tex]\frac{10 mm}{1 cm} = \frac{140 mm}{x} \\\\\frac{10 mm}{1 cm} = \frac{x}{140 mm} \\\\\frac{1 cm}{10 mm} = \frac{12.5 cm}{x} \\\\\frac{12.5 cm}{1 cm} = \frac{140 mm}{x} \\\\[/tex]

Then your answer is:

[tex]\frac{10 mm}{1 cm} = \frac{140 mm}{x} \\\\\frac{1 cm}{10 mm} = \frac{12.5 cm}{x}[/tex]    

I saw a lot of one answers, but the question is Select ALL that Apply

not just c or b

I hope this helped :))))) (●'◡'●)

PS: brainliest would be great but i'm not askin for it

The equations in this sytem were added to solve for x. What is the value of x? Negative 8 x + 8 y = 8. 3 x minus 8 y = negative 18. Negative 5 x = negative 10. x = negative 2 x = negative one-half x = one-half x = 2

Answers

Answer:

change your cringe username please lol

Step-by-step explanation:

jk heres the answer D, x = 2

The Value of x would be as follows:

2

Find the value of x

Given that,

Important Equations:

[tex]-8x + 8y = 8[/tex]

(i) [tex]3x - 8y = -18[/tex]

(ii) [tex]-5x - 0 = - 10[/tex]

(iii) Solving equation

By equation

(iii) [tex]x = -10 / -5[/tex]

∵ [tex]x = 2[/tex]

Thus, [tex]2[/tex] is the value of x.

Learn more about "equation solving," refer

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Need help combining like terms!! PLS

Answers

Answer:

1 - 9/7n

Explanation:

1/7 - 3(3/7n - 2/7)

distribute the 3 with the 2 fractions inside the parenthesis

1/7 - 9/7n + 6/7

add like terms (1/7 + 6/7)

7/7 - 9/7n

or

1 - 9/7n

Answer:

1 -9 sevenths n

step-by-step explanation:

Find Missing Side
Instructions: Find the missing side. Round your answer to the nearest tenth.
help plz​

Answers

Answer:

8.5 units

Step-by-step explanation:

x is the adjacent side, the side that's 19 units is the opposite side.

Given the adj and the opp sides, use tangent.

tanθ= opp/adj

tan 66°= 19/ x

x(tan66°)= 19

x= 19/(tan 66°)

x= 8.5 units (nearest tenth)

5. a) A business company made a profit of Rs 24,00,000 in the last year. The management decided to distribute 20 % bonus from the profit to its 30 employees.

( i ) Find the bonus amount received by each employee.

(ii) By what percent should the bonus be increased so that each employee can receive Rs 20,000?

(iii) What should be the profit of the company so that it can provide Rs 20,000 to each employee at 20 % bonus?

Answers

Answer:

a) = Rs 16000

b) = 5%

c) = Rs 30,000,000

10% = 24,000,00/10 = Rs 240,000

20% = 240,000 x 2 = Rs 480,000

480,000/30 = Rs 16000

b) The bonus percentage needs to be increased by 5%

explanation:

Since every worker needs Rs 20000 we need to times it by 30

20000 x 30 = Rs 600,000

600,000 - 480,000 = Rs 120,000

Now we need to find the percentage of Rs 120,000

10% = Rs 240,000

5% = 240,000 divide by 2 = Rs 120,000

This is the best I can do for now please let me know if you understood the answer!

Answer:

1.Rs.16000

2.Bonus rate:25%

3.profit:Rs.3000000

Step-by-step explanation:

Case 1

Profit=Rs.2400000

Bonus Rate:20%

No.of employees =30

Now,

Bonus = (Bonus Rate of Profit) / no. Of employees

= 20% of Rs.2400000 / 30

= Rs. 16000

Case 2

Bonus=Rs.20000

Profit=Rs.2400000

Bonus rate=?

Now,

Bonus=bonus rate of profit / no. Of employees

Or,Rs. 20000 = Bonus rate × Rs. 2400000/30

Or, Rs. 20000=Bonus rate × Rs. 80000

Or,Rs.20000/Rs.80000 = Bonus rate

Bonus rate = 1/4=25%

Case 3

Bonus=Rs.20000

Bonus Rate = 20%

Now,

Bonus = bonus Rate of profit / no.of employees

Or, Rs. 20000 = 20% × Profit / 30

Or, Rs. 20000 × 30 / 0.2 = profit

Profit= Rs. 3000000

I hope it helped you

How many solution does this following equation have? -7x-10-15x=-22x+83 A. No solution B. Exact 1 solution C. Infinite solution

Answers

Answer:

A. No Solution

Step-by-step explanation:

To solve for x we would just simplify the equation so it is easier to work with. First we will combine the -7x and the -15x and when you combine then you will get -22x so the equation will look like this [tex]-22x-10=-22x+83[/tex] now we would add 22x to both sides and our equation will be [tex]-10=83[/tex] and that is not correct so the answer would be A. No solution

Answer:

A. No solution

Step-by-step explanation:

-7x - 10 - 15x = -22x + 83

-22x - 10 = -22x + 83

0 = 93

Zero doesn't equal to 93, so there are no solutions.

Perry has 24 coins that equal 52 cents. All the coins are pennies, p, and nickels, n. How many nickels and pennies does Perry have? Use the table to guess and check.

Answers

Answer:

7 nickels and 17 pennies

Step-by-step explanation:

7 nickels will give you an answer of 35 and if you subtract 35 from 52 that leaves you with 17. 17 is the number of pennies since it is the remainder and each penny is one cent each

Answer:

c

Step-by-step explanation:

Can anyone help with this thanks guys!

Answers

Answer:

450m squared

Step-by-step explanation:

bc my last answer was wrong (:

Answer:

450 m²

Step-by-step explanation:

The formula for area of a rectangle is A = lw.  You are given the length (30 m) and the width (15 m).  Plug in the numbers and solve for A.

A = lw

A = (30 m)(15 m)

A = 450 m²

The area of the rectangle is 450 m².

15 POINTS!!!!!!!! How is a linear function affected when a constant is multiplied by x?

Answers

Answer:

The Y-intercept changes .

Step-by-step explanation:

Answer:

The y-intercept changes

Step-by-step explanation:

If f(x)= 2x2 + 3, then f(x - 1)=2x2 + 4x + 5.
True
False

Answers

Answer:

[tex]\boxed{\mathrm{True}}[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2+3[/tex]

Put x = x -1

[tex]f(x-1) = 2(x-1)^2+3\\f(x-1) = 2(x^2-2x+1)+3\\f(x-1) = 2x^2-4x+2+3\\f(x-1) = 2x^2-4x+5[/tex]

So, it is true.

Answer:

True

Step-by-step explanation:

A =3x2+4x+1,B=5x2−3x+8,C=4x2−7x−3, find the value of B + C –A.

Answers

Answer:

6x^2 - 14x + 4.

Step-by-step explanation:

5x^2 - 3x + 8 + 4x^2 - 7x - 3 - (3x^2 + 4x + 1)

=  5x^2 - 3x + 8 + 4x^2 - 7x - 3 - 3x^2 - 4x - 1

= 6x^2 - 14x + 4.

The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations? 3 x + 13 y = 14. 6 x + 11 y = negative 2. 4 x + 5 y = 12. 8 x + 3 y = negative 4. 5 x + 4 y = 12. 7 x + 8 y = 12. 10 x + 3 y = 8. 17 x + 6 y = 10.

Answers

Answer:choice one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I did the test


Liam is making chocolate chip cookies. The recipe calls for 1 cup of sugar for every 3 cups of flour. Liam only has 2 cups of flour.
​How much sugar should Liam use?
Explain why your answer is correct.

Answers

Answer:

2/3 cups of sugar

Step-by-step explanation:

Answer:

2/3 cups of sugar

Step-by-step explanation:

If 3 cups of flour: 1 cup of sugar

2 cups of flour: x cup of sugar

Cross multiply

3x = 2 × 1

3         3

x = 2/3

My answer is correct because every 3 cups of flour is a full cup (1) but because he has 2 cups of flour, the cup of sugar is going to be less than 1 because 3 cups of flour is bigger than 2 cups of flour.

help me pls
Tell whether lines m and n must be parallel from the given
Information. If they are, state your reasoning.

Answers

Answer:

The first one isn't the second one is.

Step-by-step explanation:

In the first one, they have to be equal because they're corresponding angles so m and n are parallel.

In the second one, m<2 and m<3 would be supplementary and add up to 180 degrees if the lines were parallel and since they don't add up to 180, the lines are not parallel.

First one isn’t second one is

Please solve for x and y. If you do, also write the steps you used.

Answers

Answer: a = 8, x = 56, y = 68

Step-by-step explanation:

Was there a description that stated this was a parallelogram?

Since that information was not provided....

I used the Law of Cosines to find x = 56°.

Congruent sides implies congruent angles so Center-Q-R = 56°.

Triangle Sum Theorem results in y = 68°

Vertical angles results in S-Center-P = 68°

Triangle sum Theorem results in S-P-Center = 68°

Now we can see that alternate interior angles are congruent, therefore PQRS is a parallelogram. Diagonals are bisected at the intersection so a = 8

Other Questions
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