A group of friends will buy at most 8 snacks at a movie theater and spend no more than $42. They will pay $4 for each box of candy and $7 for each bag of popcorn. The system of inequalities graphed below represents this information. Which combination of boxes of candy and bags of popcorn could the group buy?

The polynomial function has zeroes as given by x=0

In general, given zeroes of a polynomial function, a, b, c, and d, we can write the function as the multiplication of the factors

(x-a), (x-b), (x- c), and (x-d) then the degrees are 4

simply:

f(x)=(x-a) (x-b) (x- c) (x-d)

In this case, we can show that each of a, b, c, and d are zeroes of the function:

f(a)=(a-a) (a-b) (a-c) (a-d)

     = (0) (a-b) (a-c) (a-d)

     =0

f(b)=(b-a) (b-b) (b-c) (b-d)

      =(b-a) (0) (b-c) (b-d)  

      =0

f(c)=(c-a) (c-b) (c-c) (c-d)

     =(c-a) (c-b) (0) (c-d)

     =0

f(d)=(d-a) (d-b) (d-c) (d-d)

     =(d-a) (d-b) (d-c) (0)

     =0

since the value of the function at x=a, x=b, c, and d are equal to 0, then the function

f(x)=(x-a) (x-b) (x- c) (x-d) has zeroes at a, b, c and d

with the generalized form, we can substitute for the given zeroes,

x=-5, x=-2,0and 5 where a=-5, b=-2, c=0 and x=5

f(x)=(x-(-5)) (x-(-2)) (x-0) (x-5)

simplifying gives:

f(x)=(x+5) (x+2) x(x-5)

from here, we can put it in standard polynomial form by foiling the right side:

f(x)=x^3+2x^2-25x-50

To double-check the answer, just plug in the given zeroes, and ensure the value of the function at those points is equal to 0.

f (-5) =x^3+2x^2-25x-50

       =(-5)^3+2(-5)^2-2(-5)-50

f (-5) =0

f (-2) =(-2)^3+2(-2)^2-2(-2)-50

f (-2) =0

f (0) =0

f (5) =(5)^3+2(5)^2-2(5)-50

    =0

Hence, the function has zeroes as given by x=0.

To learn more about polynomial function, visit

brainly.com/question/19507085

#SPJ9

Answer:

b = 12

Step-by-step explanation:

subtract eight from both sides to leave the b variable on the left

b/2 = 14 - 8

b/2 = 6

multiply by 2 on both sides to leave b by itself

b = 6 * 2

b = 12

Answer:

12

Step-by-step explanation:

8 + b/2 = 14

b/2 = 14 -8

      = 6

b = 6 x 2

  = 12

Therefore b is 12. Hope this helps you and pls mark me as brainliest <3

The airplane that descends at a rate of 2,700 feet per minute, after 3 1/2 minutes it will be at 9450 ft

The formula and procedure we will use to solve this problem is:

v= x/t

Where:

Information about the problem:

Converting the mixed fraction to a fraction, we get:

3 1/2 =

[(3*2) + 1]/2 =

(6+1) / 2 =

7/2

3 1/2 min is equivalent to 7/2

Applying the velocity and isolating the distance we have:

x= v*t

x = 2700 ft/min * 7/2 min

x = 9450 ft

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

Learn more about velocity at: brainly.com/question/3004254

#SPJ4

Answer

14 degrees

Step-by-step explanation:

The resulting product of the expression is 12.017

Fractions are written as a ratio of two integers

Given the following expression

-2 1/3 x -5.15

Convert to improper fraction to have:

-7/3 * -515/100

3605/300

12.017

Hence the resulting product of the expression is 12.017

Learn more on product of expression here: https://brainly.com/question/4344214

#SPJ1

Answer:

(- 5, - 3 )

Step-by-step explanation:

Given the 2 equations

- 3x + 10y = - 15 → (1)

5x - 7y = - 4 → (2)

Multiplying (1) by 5 and (2) by 3 and adding the result, eliminates the x- term.

- 15x + 50y = - 75 → (3)

15x - 21y = - 12 → (4)

Add (3) and (4) term by term to eliminate x, that is

29y = - 87 ( divide both sides by 29 )

y = - 3

Substitute y = - 3 into either of the 2 equations and solve for x

Substituting into (1)

- 3x + 10(- 3) = - 15

- 3x - 30 = - 15 ( add 30 to both sides )

- 3x = 15 ( divide both sides by - 3 )

x = - 5

solution is (- 5, - 3 )

Step-by-step explanation:

where is the line? pls share it

Step-by-step explanation:

There is no question here

Answer: Help with what? You forgot to link your question

Step-by-step explanation:

Answer:

3×6=

68

56

46

78

56

87

986786

Answer:

A

Step-by-step explanation:

Answer:62 degrees

Step-by-step explanation:  BAC and DAF  are equivalent

Answer:

x ≈ 14.7

Step-by-step explanation:

use pythagorean therorem

a^2 + b^2 = c^2

c is hypotenuse and we know the hypotenuse is 21

a^2 + b^2 = c^2

x^2 + 15^2 = 21^2

x^2 + 225 = 441

x^2 = 216

x = √216

x ≈ 14.7

Answer:

Develop the concept of flat and solid shapes with your students. This unit has 12 shape activities that include whole group, small group and differentiated math ...

Step-by-step explanation:

Answer: [tex]\sqrt{170}[/tex]

Step-by-step explanation:

Distance formula: a^2+b^2=c^2 where c is the distance between two points

(-6-5)^2 + (4-(-3))^2=c^2

(-(6+5))^2 + (4+3)^2=c^2

(-11)^2 + 7^2=c^2

121 + 49=c^2

c^2=170

c=[tex]\sqrt{170}[/tex]   ==> distance between A and B

Answer: The answer is 6x–9, please mark me as brainliest and have a wonderful weekend. :D

Step-by-step explanation:

solution

5y+7y+6= 12y+6

= 2(6y+3)

Answer:

2(6y + 3)

Step-by-step explanation:

for the equation to have infinitely many solutions, then both sides must be equal.

consider left side

5y + 6 + 7y ← collect like terms

= 12y + 6 ← factor out 2 from each term )

= 2(6y + 3)

then

5y + 6 + 7y = 2(6y + 3) ← has infinitely many solutions

Answer:

1222222222

Step-by-step explanation:

Answer:

the answer would be the third option. its the only thing that has 3 terms

Step-by-step explanation:

3+x+9

Answer:

3+x+9 is the sum of three terms

Answer:

21

Step-by-step explanation:

1/5 * 35 = 7

7*3 = 21

Answer:

y = 6x + 3

Step-by-step explanation:

Equation of the line

------------------------------------------------------

The equation of the line in slope-intercept form is:

y = mx + b

Being m the slope and b the y-intercept.

Where m is the slope and (h,k) is a point through which the line passes.

We are given the y-intercept as b=3 m=6.

Thus, the equation of the line is:

y = 6x + 3

Answer:

A. 80-5x

Step-by-step explanation:

Let the number of rides be represented by = x

Thomas bought 80 tickets for rides at an amusement park. Each ride cost five tickets, Thomas has been on x right so far.

The number of rides Thomas has been on so far= 5 × x = 5x

The expressions to show the number of tickets that Thomas has left is written as:

80 - 5x

Option A is the correct option.

Answer: clown and watch me and watch all my videos

Step-by-step explanation:

It is wrong. Because Verania has a comparative advantage in washing dishes, she should wash dishes, and Josimar should vacuum.

Having an absolute advantage in both things does not mean that Verania has a Comparative advantage in both as well.

They should find out which activity they both have a comparative advantage in and focus on that. The activity that costs the least opportunity cost is the one they have a comparative advantage.

Verania

Opportunity cost of vacuuming = 2 / 1 = 2 hours of washing dishes

Opportunity cost of washing = 1/2 = 0.5 hours of vacuuming

Josimar

The opportunity cost of vacuuming = 3/2 = 1.5 hours of washing dishes

Opportunity cost of washing = 2/3 = 0.66 hours of vacuuming

Verania has a comparative advantage in washing dishes while Josimar has a comparative advantage in vacuuming.

For more information on calculating cost click on the link below:

https://brainly.com/question/2513267

#SPJ4

Answer:

D, I think, pls don't report if im wrong

Step-by-step explanation:

Answer:

12 red shirts

8 green shirts

4 blue shirts

Step-by-step explanation:

1/2 of the 24 people are wearing red shirts

Of means multiplication, so...

1/2 * 24 = 24/2 = 12, and do the same for the rest!

Answer:1/2 of 24= 24/2=12

             1/3 of 24= 24/3=8

             12+8=20

             24-20=4

Step-by-step explanation:

Answer:

1 is greater than x

Step-by-step explanation:

4x < 0

x<0-4

x< -4

x={ -5,-6,-7,-8,-9,-10,.............}

so {-5,-6,-7,-8,-9,-10,-.............} are lesser than 1

hence 1 >x 0r 1 is greater than x

Answer:

( 4 x 8) x (2 x 5)

32 x 10

320