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:  Choice C

(-19/2, -33/2)

=========================================================

Explanation:

We'll plug the second equation into the first one

In other words, we'll replace every copy of y with 3x+12 and solve for x

This is an example of the substitution rule.

x-y = 7

x-( y ) = 7

x - (3x+12) = 7

x - 3x - 12 = 7

-2x - 12 = 7

-2x = 7+12

-2x = 19

x = -19/2

Based on this alone, we can see the answer must be choice C. No other answer choice has this x coordinate.

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

If you want to find y based on this x value, then,

y = 3x+12

y = 3(-19/2)+12

y = -57/2 + 12

y = -57/2 + 24/2

y = (-57+24)/2

y = -33/2

This fully confirms choice C is correct.

So we have x = -19/2 and y = -33/2 pair up to get us (-19/2, -33/2)

In decimal form, this would be (-9.5, -16.5)

Answer:

3. (-19/3, -33/2)

You have to make a equation system :

[tex]\left \{{{x - y = 7} \atop { y = 3x + 12}} \right. <=> \left \{{{y = x - 7} \atop { y = 3x + 12}} <=> x-7 = 3x + 12 <=> 3x -x = -7 - 12 <=>[/tex] [tex]2x = -19 <=> x = -19/2[/tex]

Replacing x=-19/2 in the first equation (it's the easiest to solve) :

[tex]y = -19/2 - 7 <=> y =-19/2- 14/2 <=> y = -33/2[/tex]

Answer:

B

Step-by-step explanation:

6/11 * 7/3 = 6*7/11*3 = 42/33

We can simplify this by dividing both by 3.

42/3 = 14

33/3 = 11

So we get 14/11

Answer:

300

Step-by-step explanation:

Just because it makes sense.

Answer:

300

Step-by-step explanation:

Just because it makes sense. and you would get the answer that i did as well

It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.

Let the point be having coordinates (x,y).

If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

It is given that in Part F, reflect the line segment across the x-axis. Then, rotate it 90° clockwise.

Also No effect as we assumed rotation is being with respect to origin.

Finally, translate it down to 2 units.

Therefore, It is found that the relationship between the original line segment and the transformed line segment is rotation because when you flip everything around its called rotation.

Learn more about rotation of a point with respect to origin here:

https://brainly.com/question/18856342

#SPJ2

Answer:

a, d and e.

Step-by-step explanation:

A perfect square is one where the coefficient is a perfect square and the exponent is even.

So they are 25x^12, 36x^16 and 9x^8.

Answer:

3, 50 and 70

Step-by-step explanation:

Using exterior angle property, we have 15x+5+22x+4=120, 37x+9=120. x=3

B=15x+5=50

C=22x+4=70

Step-by-step explanation:

Hey there!

Given;

-6(2x-9) + (7-6x) = 0

Simplify it.

-12x + 54 + 7 - 6x = 0

-18x +61 = 0

Therefore, answer is option B.

Hope it helps!

Answer: x=8

Step-by-step explanation:

So to begin with we need to find the connection being that they are the same triangle but with a dilation. We need to find the dilation by matching the new angles with each other H=E F=C and D=G. We need to find the relation ship between CD and FG. 65 divided by 24= 2.6 take ED and multiply 2.6 to find HG. HG= 91. Now we need to find x. 8 times x+ 3=91. Find the closest eight multiple to 91 which is 8 times 8= 88 and add 3 to see it makes 91.

8 is your answer.

Answer: 0

Step-by-step explanation:

In this equation 0/y would equal 0, no matter what y is. 0/y means that there's 0 items out of y items (ex: substitute y with 2, it would be 0/2). Beginning with 1*0 (one times zero) the answer there would be 0. Since we already know that 0/y equals 0, the rest of the equation would be 0 - 0 which would equal to 0. Hope this explanation helps :)

[tex]\\ \sf\longmapsto 0-\dfrac{0}{y}[/tex]

[tex]\\ \sf\longmapsto \dfrac{0-0}{y}[/tex]

[tex]\\ \sf\longmapsto \dfrac{0}{y}[/tex]

[tex]\\ \sf\longmapsto \infty[/tex]

[tex]\\ \sf\longmapsto 0[/tex]

Answer:

42 more times

Step-by-step explanation:

1) 4×105=420 (pounds)-blue whale

2) 1×10=10 (pounds)- elephant

3) 420:10=42

The amount of times that the blue whale is more heavier than the elephant in pounds is; 40 times heavier.

Average weight of blue whale; W_w = 4 × 10^(5) pounds

Average weight of elephant; w_e = 1 × 10⁴ pounds

W_w/W_e = (4 × 10^(5))/(1 × 10⁴)

According to laws of exponents;

a¹²/a³ = a¹² ¯ ³ = a^(9)

Applying that to our question gives;

4(10^(5 - 4)) = 4 × 10 = 40

Read more about exponents at; https://brainly.com/question/18248071

Answer:

a^2 +4ab+4b^2

Step-by-step explanation:

(a+2b)^2

(a+2b)(a+2b)

FOIL

first: a*a = a^2

outer:  a*2b = 2ab

inner: 2b*a = 2ab

last: 2b*2b = 4b^2

Add them together

a^2 +2ab+2ab+4b^2

Combine like terms

a^2 +4ab+4b^2

Answer:

Solution given:

(a+2b)²

we have

by using formula

(a+b)²=a²+2ab+b²

so

we get

a²+2*a*2b+(2b)²

=a²+4ab+4b²

Answer:

n = -4

Step-by-step explanation:

-32=8n

Divide each side by 8

-32/8 = 8n/8

-4 = n

- 32 = 8n

Cross multiplying we get

n = -32/8

n = -4

Answer:

6

Step-by-step explanation:

Altitude = 3400t +600

21,000 = 3400t +600

21000-600= 3400t

20400/3400 = 3400t/3400

t= 6

Answered by Gauthmath

Answer:

123

Step-by-step explanation:

Large rectangle:

8 - 3 = 5

5 × 4 × 3 = 20 × 3 = 60

Smaller rectangle:

3 × 3 × 7 = 9 × 7 = 63

Both:

63 + 60 = 123

Hope this helped.

Answer:

It should be 0.012566 rounded

Step-by-step explanation:

Answer:

0.01 pounds

Step-by-step explanation:

A milligram is approximately 2.2046e-6 pounds (which is really small), so 5700 milligrams is around 0.012566 pounds. Also, did you mean "hundredth"?

Answer:

This is trapezium.

Area of this figure =1/2h(d1-d2)

1/2×5(14-8)

=30/2

=15cm^2

Answer:

No it is not a collection of well defined and distinct objects

Hope this helps <3

Answer:

hey the answer is cylinder= 211.5л!

Answer:

1

Step-by-step explanation:

To do this, we can first look at each factor of each number.

For 5a²b², we can split this up into three parts: 5, a², and b². The factors of 5 are 1 and 5, the factors of a² are 1, a, and a² (because a*a = a² and a²*1 = a²), and the factors of b² are 1, b, and b²

For 9x³y³, the factors for 9 are 1, 3, and 9, the factors of x³ are 1, x, x², and x³ (because x * x² = x³ and x³ * 1 = x³), and the factors of y³ are 1, y, y², and y³.

The only number that is a factor of at least 1 item in each number is 1. Therefore, 1 is the HCF

Another way of looking at this is seeing that a, b, x, and y are all different variables with nothing to connect them, so as a result, they will have no common factors except for 1

Answer:

nice answer

Step-by-step explanation:

true because there is every assurance that you might lose or win

Answer:

21. C, 24.B

Step-by-step explanation:

Since the y-value for x = 0 is not zero, the function cannot have sine in it because sin of 0 is always 0. Therefore, the function will have cos in it. That leaves only B and C left. Since cos(0) is always 1, and the value of y when x = 0 is 0.5, the function will have 1/2 multiplied by a cos function. The only answer option that has that is C.

Now, for the next problem, we know the values of all three sides, and we need to find one angle. We can use the law of cosines for this and plug the values into the equation:

[tex]55^2=40^2+24^2-2(40)(24)\cos(C)[/tex]

We can subtract 40 squared plus 24 squared from both sides to get

[tex]849=-2(40)(24)\cos(C)[/tex]

Negative two times 40 times 24 equals -1920. Dividing -1920 from both sides gets us

[tex]\frac{849}{-1920}=\cos(C)[/tex]

Plugging this equation into a calculator and solving for C, we get the answer as approximately

C = 116.24353.

This rounds to 116.2

Answer:

p < 0.24

Step-by-step explanation:

If earning is 24% less Than predicted, this means that the we can represent the predicted earning with a variable, p

If the predicted earning = p

Then, the actual earning can be represented by the inequality ; p < 24%

p < 0.24

Answer:

x=2*sqrt(5)

Step-by-step explanation:

Since the triangle is isosceles, the other side of the triangle is sqrt(10) too. By using Pythagoras theorem, we have 10+10=x^2, x=2*sqrt(5).

Answer:

please i need educere answers

Step-by-step explanation:

i have one day left and i cannot finish please reply with any way to contact you

Answer:

Part 1: Find w

w=15

Step-by-step explanation:

Part 1: Find w

Step 1:

3w+15=60. If this is true, then first: Subtract 15 from both sides.

Result: 3w=45

Step 2:

3w=45. If this is true, now: Divide by 3 to both sides.

Result/Answer: w=15.

Answer:

Part 2: If w=15, then what is 8w2+8w+9?

8w2+8w+9= Well I have 2 options. If you mean 8w^2+8w+9, then the answer is 14529. If you mean 16w+8w+9, then the answer is 369.

Answer:

-9

Step-by-step explanation:

11+15u=-7+13u

or, 15u-13u = -7-11

or, 2u = -18

or, u = -9

Answered by GAUTHMATH

Answer:

proportion

Step-by-step explanation:

In a proportion, the means or the extremes (or both) may be interchanged. In proportion, the product of the means equals the product of the extremes.

hope it helps :)

mark brainliest!