Select the correct answer. The supply and demand curves for a product line of bicycles are shown. Approximately where is the equilibrium point? A. (93,268) B. (132,220) C. (180,355) D. (220,115)

The equivalent form of f(x) + g(x), if  f(x) = x² + 2x + 1 and g(x) = 3(x + 1)² is

4x² + 8x + 4, so option C is correct.

In the case of a function from one set to the other, each element of X receives exactly one element of Y. The function's domain and co-domain are respectively referred to as the sets X and Y as a whole.

Given:

f(x) = x² + 2x + 1 and g(x) = 3(x + 1)²

Calculate the equivalent form as shown below,

f(x) + g(x) = x² + 2x + 1 + 3(x + 1)²

Simplify the above equation,

f(x) + g(x) = x² + 2x + 1 + 3(x² + 2x + 1)

f(x) + g(x) = x² + 2x + 1 + 3x² + 6x + 3

f(x) + g(x) = 4x² + 8x + 4

To know more about function:

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Answer:

C

Step-by-step explanation:

Answer: C. $6.00 monthly fee and $1.25 per video game

Step-by-step explanation:

I did the test

Answer:

A t=19

Step-by-step explanation:

6t=114

t=114/6

t=19

Answer:

t=19

Step-by-step explanation:

Answer:

roughly 20 times

Step-by-step explanation:

2/6 = 1/3 is the probability he will roll a 3 or a 6

1/3 * 60 = 20.

It's not exact because you can't predict exactly what will happen, so it's roughly 20 times.

Answer:

Answer:

y=x+11

Step-by-step explanation:

Answer:

[tex]Salary = \$5670[/tex]

Step-by-step explanation:

Given

[tex]Items = \$27000[/tex]

[tex]Rate = 21\%[/tex]

Required

Determine her salary

Her salary is calculated as:

[tex]Salary = Rate * Items[/tex]

This gives:

[tex]Salary = 21\% * \$27000[/tex]

Convert % to decimal

[tex]Salary = 0.21 * \$27000[/tex]

[tex]Salary = \$5670[/tex]

Answer:

$8.50

Step-by-step explanation:

First, you would look at all the prices. If you have 8 tickets and they cost $62 after discount, what is the discount amount? That is 75 cents. Then, you would divide $62 by 8 tickets to get the price of each ticket. That would be $7.75 for each ticket. You would then add the discount of 75 cents to get the original price of $8.50 for each ticket.

Answer:

I can answer Part B since I can't explain Part A in words.

Step-by-step explanation:

Angle 2 = 109 degrees (since it is a straight angle witch is 180 degrees. What you need to do is subtract the given with 180.)

Angle 3 = 81 degrees (I don't know how to explain this. Sorry.)

Angle 4 = 81 degrees (I also don't know how to explain this.)

Answer:

Approximately 66.66% of swimsuit styles are bikinis.

Step-by-step explanation:

Given

Let 'x' be the percentage of the swimsuit styles are bikinis.

so

x% of 42 = 28

[tex]\frac{x}{100}\times \:42=28[/tex]

[tex]42x = 100 \times 28[/tex]

[tex]42x = 2800[/tex]

divide both sides by 42

[tex]\frac{42x}{42}=\frac{2800}{42}[/tex]

simplify

[tex]\:\:x\:\approx \:66.66\:\%[/tex]

Therefore, Approximately 66.66% of swimsuit styles are bikinis.

Answer:

25

Step-by-step explanation:

15=Girls

10=Boys

25 =The total of the number of students

Answer:

i=prt

i = 1,000 x 0.045 x 1.5

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

3(x+5.50)-3

3x+16.50)-3

-3(3x+16.50)

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

Step-by-step explanation:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

hope this helps a little

Answer:

Point d

Step-by-step explanation:

because the x is -2 and the y is 3 so you look for the x and then the y

Answer:

8

Step-by-step explanation:

Take the biggest value and smallest value, and subtract the smallest value from the biggest value:

9-1=8

The range is 8

The numbers provided are 1, 2, 3, 4, and 9. Subtract the greatest from least,

9 - 1, and your answer is 8

Answer:

the perimeter is 50x

Step-by-step explanation:

Answer:

1,222,222 is the answer

Step-by-step explanation:

You can use a calculator to find out.

Answer:

[tex]x=3\sqrt{5}[/tex]

Step-by-step explanation:

Right Triangles

Right triangles have one of its interior angles with a measure of 90°.

In right triangles the Pythagora's Theorem is satisfied.

Being c the longest side (hypotenuse), a and b the shorter sides (the legs), then:

[tex]c^2=a^2+b^2[/tex]

We have modified the image to include some known data. Both triangles are congruent since they share one side, have a right angle, and have the same base length.

This means the value of x can be calculated as the hypotenuse of the triangle 3-6-x:

[tex]x^2=3^2+6^2=9+36=45[/tex]

[tex]x=\sqrt{45}=\sqrt{9*5}[/tex]

[tex]\boxed{x=3\sqrt{5}}[/tex]

Answer:

hi  hahahah

Step-by-step explanation:

Answer:

Because linear pairs are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.

Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.

Step-by-step explanation:

A linear pair is a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary (that is they add up to 180°).

Therefore m∠1 and m∠2 are linear pairs, also m∠2 and m∠3 are linear pairs.

Hence:

m∠1 + m∠2 = 180°

m∠2 + m∠3 = 180°

Using substitution property:

m∠1 + m∠2 = m∠2 + m∠3

subtracting m∠2 from both sides:

m∠1 + m∠2 - m∠2 = m∠2 + m∠3 - m∠2

m∠1 = m∠3

∠1 and ∠2 are congruent

Because linear pairs are supplementary. m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.

Because angles that are supplementary to the same angle are congruent. It can be concluded that ∠1 ≅ ∠3.

Answer:

45°

Step-by-step explanation:

A triangle is a polygon that has three sides and three angles. There are different types of triangles such as equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

All the three angles in a triangle add up to 180°.

From the question:

x + 2x + 45 = 180° (sum of angles in a triangle)

Adding alike terms:

3x + 45 = 180

Subtract 45 from both sides:

3x + 45 - 45 = 180 - 45

3x = 135

Divide both sides of the equation by 3 to find x:

3x / 3 = 135 / 3

x = 45°

Therefore:

The value of x is 45°

Answer:

-4 and any number above.

Answer:

3.027, 3.27, 3.2742, 3.3

Step-by-step explanation:

Hi! When we have these types of problems we always look at the first number. Is it less than the others? Since they are all 3, we have to look at the decimal place. 0 is less than 2 and 3, so we put 3.027 first. Since the others have 3.27 as the first point, we look at the one with the most decimal placements after 3.27 (3.2742) as being greater than 3.27. 3.27 goes before 3.2742. 3.3 is greater than all of them, so it goes last.

Answer:

3.027, 3.27, 3.2742, 3.3

Step-by-step explanation:

First list the numbers:

3.027

3.2742

3.27

3.3

Add the zero to the numbers without 4 decimal places so that they are equal.

Now you have:

3.0270

3.2742

3.2700

3.3000

Look at the number with the lowest number on the first decimal place, which is 3.0270. This becomes the lowest number. Then move on to the next decimal place. 3.2700 and 3.2742 both have the same digits on the first two decimal places. Look at the third decimal place between the two and you can see that 0 (on 3.2700) is lower than 4 (on 3.2742).

So now we have:

3.0270, 3.2700.

Then looking at the last two you have 3.2742 and 3.3000. In this case it's clear that 3.2742 is smaller so we put it as the third.

The order is as follows:

3.0270 (3.027)

3.2700 (3.27)

3.2742 (3.2742)

3.3000 (3.3)

I think it's b. the first coin is silver and the second coin is gold.