A company is selling specialty ice cream. Their profit is modeled by the equation p(x) = x2 + 3, where x represents the number of cartons sold. Their cost to make the carton is represented by c(x) = -3x + 24, where x represents the number of cartons produced.

A. What does it mean to find the solution to this system?

B. What is the solution to the system? How did you find the solution?

C. What does the solution mean in context of the problem?

D. How do you solve this system when x does not stand for the same thing? What system are you referring to?

Answer:

is it me or can I not see anything

Answer: 70

Step-by-step explanation:

We are required to calculate the total distance Cecilia travelled in 5 days

The total distance Cecilia travelled for 5 days is 99 kilometers

Day 1 = 27 kilometers

Day 2 to day 5 = 2/3 of 27

= 2/3 × 27

= 2 × 9

= 18 kilometers each day

Total distance = day 1 + day 2 + day 3 + day 4 + day 5

= (27 + 18 + 18 + 18 + 18) kilometers

= 99 kilometers

Therefore, the total distance Cecilia travelled for 5 days = 99 kilometers

Read more:

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Answer:

12

Step-by-step explanation:

First substitute the equation with the variable replacements given:

-r/9 + 5x <--- Before

-27/9 + 5(3) <--- After

Next Solve the parts of the Equation

-27/9 + 5(3)

-3 + 15 <--- -27 divided by 9 is -3, 5 times 3 is 15.

= 12 <--- 15 - 3 = 12.

I hope this helps!

Answer:

12

Step-by-step explanation:

[tex]-\frac{27}{9}+5(3)[/tex]

- 3 + 15

15 - 3

12

Answer:

1

Step-by-step explanation:

the line passes point (-3,0) abd (0, 3)

so, the gradient = (3-0)/(0+3) = 3/3 = 1

1. f(-6)=8

2.-2

3. 4

Hope this helps you...

Answer:

e = -1/2

Step-by-step explanation:

To solve this problem, our first step is to add 5/3 to both sides of the equation.  This gives us:

4/3 + 5/3 = -6e - 5/3 + 5/3

9/3 = -6e

We can simplify the left side of the equation by performing the division.

3 = -6e

Next, we can solve for e by dividing both sides of the equation by -6.

e = -1/2

Therefore, the correct answer is e = -1/2.

Hope this helps!

Answer:

The value of e is -1/2

Step-by-step explanation:

4/3 = - 6e - 5/3

Now, add 6e both side we get,

4/3 + 6e = + 6e - 6e - 5/3

4/3 + 6e = - 5/3

Now, subtract 4/3 from both side we get,

4/3 - 4/3 + 6e = -4/3 - 5/3

6e = -4/3 - 5/3

6e = -4 - 5/3

6e = -9/3

6e = -3

Now, divide 6 from both side we get,

6e/6 = -3/6

e = -1/2

Thus, The value of e is -1/2

-TheUnknownScientist

Answer:

12/37

Step-by-step explanation:

We know ,

=> sin B = p/h

=> sin B = 12/ 37

Answer:

Step-by-step explanation:

[tex]Sin \ B = \frac{opposite \ side }{hypotenuse}\\\\Sin \ B = \frac{35}{37}\\\\[/tex]

Answer:

6

Step-by-step explanation:

A = π. r²

36π = π. r²

eliminate π, we get:

36=r²

r=√36

r = 6

Answer:

r = 6

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Given A = 36π , then

πr² = 36π ( divide both sides by π )

r² = 36 ( take the square root of both sides )

r = [tex]\sqrt{36}[/tex] = 6

Answer: Choice C. 32,768

Explanation:

2.5 hours = 2.5*60 = 150 minutes

150/10 = 15

There are 15 periods that are 10 minutes each in a 2.5 hour timespan.

y = a*b^x

y = 1*2^15

y = 32,768

If you started with a = 1 bacterium, then it will double a total of 15 times to end up with 32,768 bacteria after the 2.5 hour period.

Answer:

y = 46

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Hi!

65% → 13 || : 13

5% → 1 || • 20

100% → 20

Answer: 65% of 20 is 13.

Hello,

[tex](211)_x=(10110)_2\\\\2*x^2+x+1=22\\\\2x^2+x-21=0\\\Delta=1+4*2*21=169=13^2\\x=\dfrac{-1+13}{4}= 3\\or\\x=\dfrac{-1-13}{4}\ may\ not\ be\ negative\\\\[/tex]

x=3

Answer:

number 1 is C number 2 is A and number 3 is D

Step-by-step explanation:

Answer:

yeah

Step-by-step explanation:

Answer:

6.14 m

Step-by-step explanation:

If she moves 3.65 metres to the other side of the mirror. Her spouse calculates that there are 1.55 metres between her eyes and the earth. The height of the tail post is 6.14 m.

The distance up or down a specified point of comparison, most often a reference spherical geometry, a mathematical model of the Earth's sea level as an equipotential gravitational surface, determines a physical location's elevation.

Given that, after travelling 14.45 metres from her school, she lays a flat mirror on the ground in the centre, with an x drawn on it. When she can clearly see the top of the goalpost depicted in the x.

She moves 3.65 metres to the other side of the mirror. Her spouse calculates that there are 1.55 metres between her eyes and the earth. 

Suppose the height of the tail post is x,

The geometric relation is,

1.55/3.65 = x/14.45

x=(14.45×1.55)/3.65

x=6.14 m

Thus, if she moves 3.65 metres to the other side of the mirror. Her spouse calculates that there are 1.55 metres between her eyes and the earth. The height of the tail post is 6.14 m.

Learn more about the elevation here:

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#SPJ2

Answer:

2 : 1

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180°

If one of the angle = 120°

The other angle = sum of supplementary angle - one of the angle

= 180° - 120°

= 60°

The other angle = 60°

ratio of pair of supplementary aangle = 120° : 60°

= 120° / 60°

= 2/1

= 2 : 1

ratio of pair of supplementary aangle = 2 : 1

[tex]$\mathcal{PROCESS:}$[/tex]

[tex]{\displaystyle \mathbb {DATA \ \ TO\ \ TAKE \ \ INTO \ \ ACCOUNT}[/tex]

To know the result of trees we will do the following steps...

[tex]200/5=?[/tex]

40 trees were planted

Answer:

41 Trees

Step-by-step explanation:

Answer:

{2,6,14}

Step-by-step explanation:

The range are the f(x) values

the domain are the x values

So we have it that;

f(-1) = 4(-1) + 6 = 2

f(0) = 4(0) + 6 = 6

f(2) = 4(2) + 6 = 14

so we have the range as;

{2,6,14}

Orders of Magnitude are in terms of scientific notation.

23,000 written in scientific notation is 2.3 x 10^4, it's magnitude is 4 ( the number 10 is raised to)

56 in scientific notation would be 5.6 x 10^1, its magnitude is 1.

4 - 1 = 3

2300 is 3 order of magnitudes larger.

The answer is 3.

Answer:

-(cos α)/(sin α)

= -cot α

Step-by-step explanation:

use trigonometric identities

Answer:

a=1

b=-5

c=6

Step-by-step explanation:

ax^2+bx+c=0

Is the formula used for this question.

The given function is the same as y = 1x^2 + (-5x) + 6

Compare it to the form y = ax^2+bx+c, and we have the following:

a = 1

b = -5

c = 6

12.

[tex]we \: know \: that \\ \frac{sum \: of \: all \: quantities}{number \: of \: quantities} = mean \\ => \frac{26 + 22 + 32 + 28 + 35 + x}{6} = 30 \\ = > \frac{143 + x}{6} = 30 \\ = > 143 + x = 30 \times 6 \\ = > 143 + x = 180 \\ = > x = 180 - 143 \\ = > x = 37 \\ [/tex]

This is the answer.

Hope it helps!!

Answer:

The missing monomial should be [tex]3b[/tex].

Step-by-step explanation:

Given that,

[tex]( + 2a)^2 = + 12ab + 4[/tex]

Let the missing monomial is x.

[tex]( x+ 2a)^2 = x^2+ 12ab + 4a^2\\\\( x+ 2a)^2=(3b)^2+ 2(2a)(3b) + (2a)^2\\\\So,\\\\( 3b+ 2a)^2=(3b)^2+ 2(2a)(3b) + (2a)^2[/tex]

So, the missing monomial should be [tex]3b[/tex].

Given:

A point on a graph.

To find:

The location of the point.

Solution:

From the given graph it is clear that the point lies in the third quadrant, it means both coordinates are negative.

The distance between point and y-axis = 1

The distance between point and x-axis = 2

It means, the x-coordinate is -1 and the y-coordinate is -2. So, the location of the given point is (-1,-2).

Therefore, the correct option is B.

Answer:

z = 83 / (- c + 6 - t)

Step-by-step explanation:

Given:

-cz+ 6z = tz + 83

z=?​

-cz+ 6z = tz + 83

Collect like terms

-cz+ 6z - tz = 83

Factorize

z(- c + 6 - t) = 83

Divide both sides by (- c + 6 - t)

z(- c + 6 - t) / (- c + 6 - t) = 83 / (- c + 6 - t)

z = 83 / (- c + 6 - t)

Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Let the angle at the left corner is A, so the angle at the rIght corner should be (180-90-A) = (90-A).

In the left triangle:

tanA = 8√5/16 = √(5)/2

Thus,

cotA = 1/tanA = 2/√5

In the right triangle:

tan(90-A) = 8√5/x

cotA = 8√5/x [tan(90-x) = cotx]

2/√5 = 8√5/x

x = 20

Answer:

y'=3x^2+34x+72

Step-by-step explanation:

I see this has no answer and it might be too late.

It's asking us to find dy/dx, after taking log of both sides and apply any useful properties of log.

Take log of both sides:

log(y)=log[x(x+8)(x+9)]

Apply product rule of logarithms on right:

log(y)=log(x)+log(x+8)+log(x+9)

Now differentiate both sides:

y'/y=1/x+1/(x+8)+1/(x+9)

Multiply both sides by y:

y'=y(1/x+1/(x+8)+1/(x+9))

Replace y with x(x+8)(x+9) -> this is from the given equation:

y'=x(x+8)(x+9)(1/x+1/(x+8)+1/(x+9))

Distribute:

y'=(x+8)(x+9)+x(x+9)+x(x+8)

Multiply/distribute some more:

y'=x^2+17x+72+x^2+9x+x^2+8x

Combine like terms:

y'=3x^2+34x+72

Answer:

36π mm²

Step-by-step explanation:

Formula: πr²

r=radius

r=6

π6²=36π