Write a quadratic function in standard form with zeros 12 and -3

[tex]x^{\frac{1}{\frac{-3}{6} }}[/tex]

First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.

[tex]x^{\frac{6}{-3} }[/tex]

Now that the fraction in the denominator is taken care of, we can reduce the denominator.

[tex]x^{-2}[/tex]. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.

[tex]x^{-2} = \frac{1}{x^{2} }[/tex]

Answer:

*i forgot what a radical is but* your answer is -2

Step-by-step explanation:

there is something called

REDUCE COMPOUND FRACTIONS

basically it's

 [tex]m/f/t[/tex]

so

[tex]1/-3/6\\[/tex]

is gonna be

[tex]1*6/-3[/tex]

which is -2

Answer: X = 5

Step-by-step explanation:

solve by multiplying the inside ( )

4x -24 = -4

add 24 to both sides

4x = 20

divide by 4

x = 5

Answer:

56 underwater breathing potions

Explanation:

Create variables to represent the different potions

-  flying = f   underwater breathing = b   mind reading = m

Make equations to represent all of the information you've been given.

- The number of flying potions is ten more than the number of mind reading potions. f = r + 10

- The number of water breathing potions is two more than three times the number of mind reading potions. b = 3r + 2

- The total number of potions is 102. f+b+r = 102

Substitute the variable in your equation for the total number of potions.

102 = (r +10) + (3r + 2) + r = 102

Combine like terms.

102 = 5r + 12

Solve for r.

90 = 5r

18 = r

You have to find the number of underwater breathing potions, b. Go back the equation for b and substitute 18 for r.

b = 3r + 2

b = 3(18) + 2

b = 56

So, your total number of underwater breathing potions is 56.

Answer:

C, D

Step-by-step explanation:

Calculate the sum of all.

C and D have less then 345,195.

That is the answer.

The expression that has a sum of less than 345,195 are B, C, and D.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

To calculate the number of sentences that have a sum of less than 345,195. The expression is needed to be simplified as shown below.

A) 189,753 + 155,655 = 345,408

B) 324,675 + 19,285 = 343,960

C) 185,476 + 155,923 = 341,399

D) 97,560 + 246,894 = 344,454

E) 313,489 + 32,450 = 345,939

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ2

Given:

Question:

2a - 4b

Step by step explanation:

Step 1:

2×2-4×(-3)

Step 2:

4-4(-3)

Step 3:

4+12

Step 4:

16

So 16 is correct answer

hope it helped you :)

Answer

16

Step-by-step explanation:

2×2-4×-3=

4+12=

16

Step-by-step explanation:

202·87–100·87–2·87

=99.13

Answer:

8700

Step-by-step explanation:

If you want it evaluated, this is the answer. 202 ·87-100·87-2·87= 17574-100·87-2·87=17574-8700-2·87=17574-8700-174= 8700

Answer:12

Step-by-step explanation:

Answer: line k is the segment bisector and the distance between RS is 34

Answer:

43.20

Step-by-step explanation:

First find the tip

36 * 20 %

36 * .2

7.20

Then add the tip to the amount of the meal

36+7.20

43.20

You went to have a meal which costs $36, and maybe becoming very delighted with the taste and service of the food centre, you decided to add a tip.

So, First we need to find the tip by multiplying the percentage with the cost of meal

Tip:

[tex]20\% \: of \: 36[/tex]

[tex] \frac{20}{100} \times 36[/tex]

[tex] \frac{1}{5} \times 36[/tex]

[tex]7.2[/tex]

Now, we have got the amount of money we decided to give as a tip. And, we are already having the cost of meal. So, total money paid:

[tex]36 + 7.2[/tex]

[tex] \boxed{ 43.2}[/tex]

This is our required answer.

#CarryOnLearning

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Initial amount , a = $50 .

Increase in price , d = $25 .

We need to find the recursive relation of the sequence .

If we notice it is an arithmetic progression with common difference $25 .

Which means that difference between any two consecutive term is 25 .

So , T(n) - T(n-1) = 25

T(n) = T(n-1) + 25 .

Hence , this is the required solution .

Answer:

1/2

Step-by-step explanation:

(-4--2)/(3-7)=-2/-4=1/2

Answer:

b. 1/2

Step-by-step explanation:

Points: (7, -2), (3, -4)

slope = (y2 - y1)/(x2 - x1)

slope = (-4 - (-2))/(3 - 7) = (-4 + 2)/(-4) = -2/(-4) = 1/2

Answer:

- 2.2× (-2) ÷ (-1/4)×5

- 2.2× (-2) × (-4) ×5

4.4 × (-20)

-88

Step-by-step explanation:

Answer:

Step-by-step explanation:

For fraction division, multiply with the reciprocal of the fraction.

Reciprocal of (-1/4) = -4/1

-22 * (=2) ÷  (-1/4) * 5 = [tex]-22 * (-2) * \frac{-4}{1}*5\\[/tex]

                                   [tex]= -22 * (-2) * (-4) * 5\\\\= - 880[/tex]

Answer:

the unit rate is 1/4 every 4 ounces

Step-by-step explanation:

12/3=4          3/3=1 so 1/4 of a cup every 4 ounces.

Answer:

d

Step-by-step explanation:

527 / 17 = 31

Answer:

34 square feet

Step-by-step explanation:

First, you need to find the other side of the garden in order to find the area a=l*w

The formula to find the length is, p-w*2=x x÷2=l

because, perimeter is l+l+w+w and area is just l*w

4.25*2=8.50

24.50-8.50=16

16÷2=8

l=8

So now we need to multiply the length and width to get the area.

8*4.25=34 sq. ft.

I hope that helps!

Answer:

(-7,9)

Step-by-step explanation:

When you flip over the x-axis, the y-value changes its sign. Vice versa.

[tex]\huge\boxed{\boxed{\bold{(-7, 9)}}}[/tex]

[tex]\hrulefill[/tex]

To reflect a point across the [tex]x[/tex]-axis, multiply or divide its [tex]y[/tex] coordinate by [tex]-1[/tex]:

[tex]P'=(-7, -9*-1)[/tex]

Multiply:

[tex]P'=\large\boxed{(-7, 9)}[/tex]

An image is attached showing the original point ([tex]P[/tex]) and its image ([tex]P'[/tex]).

Answer:

This is the expression expanded

Step-by-step explanation:

Answer:

Possible value of k is √2

Step-by-step explanation:

The information given are;

The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;

2·(√k - 1) + √8 - 6·√2 = R

Therefore, simplifying gives;

2·√k - 2 + 2·√2  - 6·√2 =  2·√k - 2 - 4·√2 = R

2·√k - 2 - 4·√2 + 2= R + 2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R

(√k - 2·√2) = R/2 = R

Therefore, √2 is a factor of √k such that √k - 2·√2 = R

Which gives k = x·√2, where x = a rational number

When x = 1, k = √2.

Therefore, a possible value of k is √2

Answer:

The string, the height and the ground form a right triangle

The hypotenuse = 300

height =185 = opposite side

sine of the angle = 185 / 300 = 0.6166666667

arc sine (.616666666666) =

38.073 degrees

Step-by-step explanation:

Answer:

Hourly pay rate x 1.5 x hours worked overtime.

Step-by-step explanation:

For example, if you had an hourly wage of $10, you would first:

Start with the $10 owed. Then:

Multiply your hourly pay by 1.5 to get $15.

Lastly, multiply this number by how many hours you worked overtime. Let's say you work 5 hours overtime. Multiply the $15 by the 5 hours worked overtime, and you should get $75.

An equation to help you solve this could look something like this:

Y*1.5*O=T, where the variable "Y" is hours works, the variable "O" is the hours worked overtime, and the variable "T" is the total amount of money earned for working overtime.

Answer:

2x^2 + 23

Step-by-step explanation:

For this problem, we will simply combine like terms after using the distributive property:

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

= 7x^2 + 3 - 5x^2 + 20

= 7x^2 - 5x^2 + 3 + 20

= 2x^2 + 23

Cheers.

Answer:

2x^2 + 23

Step-by-step explanation:

The third option

Answer: B. $112 = $16 x

Hope this helps!

Answer:

  x = 7

Step-by-step explanation:

We can't tell the order of angles here, so we'll assume that ...

  m∠TUV = m∠TUW +m∠WUV

  (9x+1) = (7x-9) +(5x-11)

  9x +1 = 12x -20

  21 = 3x

  7 = x

Answer:

Step-by-step explanation:

Adding the same number to both sides of equation doesn't change the equality.

¹/₉ + t    =   7

+(-¹/₉)        +(-¹/₉)

   t = 7 + (-¹/₉) = 7 - ¹/₉ = 6⁸/₉

addition property of equality