Jameson Middle School gives bottles of water to teachers and students who are going on a field trip. The school orders 500 bottles of water. They plan to give 35 bottles of water to teachers. They ordered at least 2 bottles of water for each student. How many students could be going on the field trip? Show your work.

Answer:

P(x)= x^3 - 4x^2 + 16x - 64

Step-by-step explanation:

First, let’s find all of the zeroes. If the question is asking for a degree 3 polynomial, than there has to be more than 2 zeroes. The complex conjugates theorem states that if a+bi is a zero, than a-bi has to be a zero as well. So if 4i is a zero, than -4i has to be a zero as well. By looking at the zeroes, you can write them as a linear factorization.

(x-4)(x+4i)(x-4i)

If you foil all of it, you will get x^3 - 4x^2 + 16x - 64.

Answer:

  2 bottles

Step-by-step explanation:

The 15 trees will need ...

  (15 trees)×(10.5 fl oz/tree) = 157.5 fl oz

This is about ...

  (157.5 fl oz)/(33.814 fl oz/L) ≈ 4.66 L

This is just slightly more than the quantity available in 1 bottle. It amounts to ...

  4.66 L/(4.1 L/bottle) ≈ 1.14 bottles

We assume that only whole bottles can be purchased, and that we do not have an inventory of fertilizer on hand.

2 bottles are needed to fertilize 15 trees

Answer:x=-1, y=2

Step-by-step explanation:

Summing these equations, we will obtain,

-7x =7

Therefore, x=-1

If we put x in the first equation,

(-3*-1)-5y=-7

3-5y=-7

-5y=-10

y=2

Answer:

x=-1, y=1

Step-by-step explanation:

-3x-5y=-7

-4x+5y=14

-7x=7

x=-1

-3x-5y=-7

-3(-1)-5y=-7

3-5y=-7

-5y=-10

y=2

Answer:

2/5 × 3/2

Step-by-step explanation:

Answer:

T31= 278

Step-by-step explanation:

formula is Tn=a +(n-1)d

T31= 8+(31-1)9

T31=8+(30)9

T31=8+270

T31=278

Answer:

$2009.88

Step-by-step explanation:

767.56+598.99+643.33 = $2009.88

Answer:

2a + 7

Step-by-step explanation:

2a + 6 + 1 ← collect like terms

= 2a + (6 + 1)

= 2a + 7

Answer:

y=68

Step-by-step explanation:

isolate the variable by adding 14 to both sides

54+14=y+14-14

68=y

Answer:

  x = 100

Step-by-step explanation:

The larger area is ...

  A = LW

  A = (300+x)(200+x) = x^2 +500x +60,000

The smaller area is ...

  A = (200)(300) = 60,000

We want the larger area to be double the smaller area, so ...

  x^2 +500x +60,000 = 2(60,000)

  x^2 +500x = 60,000 . . . . . . . . . . . . subtract 60,000

  x^2 +500x + 62500 = 122500 . . . add 250^2 to complete the square

  (x +250)^2 = 350^2

We're interested in the positive solution, so we can take the positive square root to find it:

  x +250 = 350

  x = 100 . . . . . . . . . subtract 250

_____

The graph shows the quadratic in the form x^2 +500x -60,000. That is, we're looking for zeros (x-intercepts) of the function.

The distance between two points is the number of units between them.

Halfway points (a) and (b)

To locate a point halfway points (a) and (b), we use the following steps

Assume the smaller value is (a), the point (P) halfway points (a) and (b) would be

[tex]P = a + \frac{|a - b|}{2}[/tex]

Take for instance, a = 5, and b = 10.

The halfway point would be:

[tex]P = 5 + \frac{|5 - 10|}{2}[/tex]

[tex]P = 5 + \frac{5}{2}[/tex]

[tex]P = 5 + 2.5[/tex]

[tex]P = 7.5[/tex]

The halfway point between 5 and 10 is 7.5

The formula works for negative values, and absolute values are used to return the actual difference between both points

Real world circumstance

The formula can be used to calculate the halfway distance between a school gate and the school library (as an instance)

Fractional distance

To determine the fractional distance, we simply replace the 1/2 in the original formula with the appropriate fraction.

Take for instance, three-fourths from (a) to (b) would be:

[tex]P = a + \frac{3|a - b|}{4}[/tex]

Read more about distance at:

https://brainly.com/question/9935574

Answer:

c

Step-by-step explanation:

The correct answer is option D.

A system of inequalities is a set of two or more inequalities in one or more variables. Systems of inequalities are used when a problem requires a range of solutions, and there is more than one constraint on those solutions.

Learn more about the system of inequalities here: brainly.com/question/4870108

#SPJ2

The height on the wall a 15-foot ladder will reach if it is placed 3. 5 feet from the base of a wall is 14.6 feet.

Using Pythagoras theorem,

c² = a² + b²

where

c = hypotenuse

a and b are the other two legs

The ladder length represent the hypotenuse sides

The distance of the ladder to the base of the wall is one of the leg.

The height on the wall the 15 ft ladder reach is the other leg

Therefore,

a² = 15² - 3.5²

a² = 225 - 12.25

a = √212.75

a = 14.5859521458

a ≈ 14.6 feet

learn more on Pythagoras theorem: https://brainly.com/question/13734303?referrer=searchResults

Answer:

C

Step-by-step explanation:

just took the test trust cuties

Answer:

Red: y=4

Green: x=-1

Yellow: x=6

Blue: x=-2

Step-by-step explanation:

The lines are all passing through the Axis, so there is no slope for each line.

Answer:

i think x = -7, y = -6

Step-by-step explanation:

good luck

Answer:

x = 7

Step-by-step explanation:

Substitute y = 4 into the equation and solve for x

8x - 2(4) = 48

8x - 8 = 48 ( add 8 to both sides )

8x = 56 ( divide both sides by 8 )

x = 7

Answer:

x = 7

Step-by-step explanation:

8x - 2y = 48

y = 4

First, let's substitute y for it's actual value as we know it.

8x - 8 = 48

Next, add 8 on both sides. (When doing these sort of questions you must do the inverse.)

8x = 56

Divide both sides by 8 to get x.

x = 7

Hope this helps and I hope you have a good day!:)

Answer: 62

Step-by-step explanation:

100 - x = 38

x =62

Answer:

x>-4

Step-by-step explanation:

Hope this helps! Pls give brainliest! Also sub to kgir633 on yt.

Answer:

000000004.8

Hope it help!

Answer:

= 5l. 66 in^3

Step-by-step explanation:

Area of cross section (A) = 1/2×b×h

=1/2 ×3.5×4.1

=7.175

Volume =AXH

= 7.175× 7.2

= 5l. 66 in^3

Answer:

2000kkkkkkkkkkklllllk

D = (7, -9)

E = (8, -10)

hope this helps!

Answer:

2/63

Step-by-step explanation:

I'm going to assume that the x is a multiplication symbol.

7 x 9 = 63

Therefore, the simplest form would be 2/63

[tex]\text{Given that,}\\\\ (x_1,y_1) = (-7,-4) ~~ \text{and slope}~ m = 3\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +4 = 3(x+7)~~~~~;[\text{Point-slope form.}]\\\\\implies y = 3x +21 -4\\\\\implies y = 3x +17~~~~~~~~~~~;[\text{Slope-intercept form.}]\\\\\text{Hence the answers are A and F.}[/tex]

Answer:

75%

Step-by-step explanation:

Here are step-by-step instructions showing you how we calculated 39 out of 52 as a percentage:

The first step is to divide 39 by 52 to get the answer in decimal form:

39 / 52 = 0.7500

Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:

0.7500 * 100 = 75.00%

Answer:

its 11

Step-by-step explanation:

because when you add 6 and 5 your answer will be 11 and its very easy and clear

Answer:

 7x^2 + 4x + 5

Step-by-step explanation:

hope that work

this is the answer: -5 < -12/40 < 19/38