| 2n+2g = 5
3x + 3y = 7
How many solutions does the system of equations above have?

\(15 + \sqrt{5x - 5} = f(x)\)

Replace y for x and vice versa

\(15 + \sqrt{5y - 5} = x\)

Solve for y.

\(15 + 5y - 5 = {x}^{2} \)

\(15 + 5y = {x}^{2} + 5\)

\(5y = {x}^{2} - 10\)

\(y = \frac{ {x}^{2} - 10 }{5} \)

\(f {}^{ - 1} (x) = \frac{ {x}^{2} - 10 }{5} \)

If

Parallelograms and trapezoids are both two-dimensional shapes with four sides. While they share similarities, there are some key differences between the two that help to distinguish them from each other. In this essay, we will discuss the key differences between parallelograms and trapezoids and explore how these differences can help us to identify each shape.

A parallelogram is a two-dimensional shape with four sides and two sets of parallel lines. It is a quadrilateral with opposite sides parallel to each other and opposite angles equal. A parallelogram can also have opposite sides of equal length, which is known as a rhombus. Examples of shapes that are parallelograms include squares, rectangles, and rhombuses.

A trapezoid is also a two-dimensional shape with four sides. However, unlike a parallelogram, a trapezoid only has one set of parallel lines. The two non-parallel sides of a trapezoid are called the legs, while the two parallel sides are called the bases.

Learn more about parallelograms:

https://brainly.com/question/20695223

#SPJ4

This causes the volume of the balloon to decrease, leading to an increase in the number of collisions between gas particles and the inside surface of the balloon, and causing the balloon to shrink and shrivel up.

Temperature is a measure of the average kinetic energy of the particles in a substance or system. In other words, it is a measure of how hot or cold something is relative to a standard reference point. The SI unit of temperature is the kelvin (K), but temperature is often measured in degrees Celsius (°C) or Fahrenheit (°F) in everyday life. Temperature plays a crucial role in many natural and man-made processes, and is a key factor in determining the behavior of matter at different states.

Here,

When a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy and slow down. As the temperature drops, the average kinetic energy of the gas particles decreases, causing them to move slower and collide less frequently. This results in a decrease in pressure inside the balloon.

According to the Ideal Gas Law, PV = nRT, where P is the pressure of the gas, V is its volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin. As the pressure inside the balloon decreases, its volume also decreases, since the number of moles of gas and the gas constant remain constant.

Since the balloon is sealed, the gas particles cannot escape, so they continue to collide with each other and the inside surface of the balloon. As the volume of the balloon decreases, the gas particles become more crowded, increasing the number of collisions between them. This leads to a decrease in the distance between the gas particles and the inside surface of the balloon, causing the balloon to shrink and shrivel up.

In summary, when a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy, slow down, and collide less frequently, resulting in a decrease in pressure inside the balloon.

To know more about temperature,

https://brainly.com/question/29768169

#SPJ1

Both ∠AKL and ∠AKC have a value of 45 degrees. The rationale is that the regular polygons BKLC (rectangle) and ABCD are bisected by lines AK and KC respectively. Since the sum of angles in a right angle is 90°, thus half of that is 45°.

A regular polygon is a polygon that has two dimensions and can be made or drawn using at least three lines joined together.

Because, the sum of angles in a right angle is 90° and half of that is 45°, we can thus conclude that the values of ∠AKL and ∠AKC are both 45° each.

Learn more about polygons are

https://brainly.com/question/9768117

#SPJ1

The Total Surface area of cardboard in the box is 992 cm².

The region that includes the base(s) and the curved portion is referred to as the total surface area. It is the overall area that the object's surface occupies. The total area of a shape with a curved base and surface is equal to the sum of the two areas.

Given:

length= 20 cm

width = 12 cm

height= 8 cm

So, the TSA of Cuboid

= 2(lw + wh + lh)

=2( 20 x 12 + 12 x 8 + 8 x 20)

=2( 240 + 96 + 160)

= 2(496)

= 992 cm²

Learn more about Total Surface Area here:

https://brainly.com/question/8419462

#SPJ1

The vertex of the graph is a maximum at (-2, 4)

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a quadratic function

From the graph, we can see that the graph has a maximum value

This maximum value represents the vertex of the graph

And it is located at (-2, 4)

So, we have

Maximum = (-2, 4)

Hence, the maximum value of the function is (-2, 4)

Read more about vertex at

brainly.com/question/28180581

#SPJ1

Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.

Answer:

wow u can really dance

Step-by-step explanation:

The measure of side length EF in the right triangle is 24.

The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c²  = a² + b²

From the diagram:

Hypotenuse DE = c = 26

Leg DF = a = 10

Leg EF = b = ?

Plug in the values and solve for b:

c²  = a² + b²

26²  = 10² + b²

676  = 100 + b²

b² = 676  - 100

b² = 576

b = +√576 ( we take the positive value since we are dealing with dimensions)

b = 24

Therefore, the length EF is 24.

Option C)24 is the correct answer.

Learn more about Pythagorean theorem here: brainly.com/question/343682

#SPJ1

Step-by-step explanation:

tan0=opp/adj

where opposite =3,adjacent =x,=70

tan 70=3/x

2.7474=3/x

2.7474x=3

divide both sides by 2.7474

x=3/2.7474

x=1.0919

x=1.10 to 1 d.p

Answer:

\((111two)2\)

The estimated profits for each company are given as follows:

Jones Corporation:

Davis Company:

The function that defines the profit for Jones Corporation is an exponential function defined as follows:

y = 10(0.99)^t

In which t is the number of years since 2015, while the profit is measured in millions of dollars.

Thus the coefficient a = 10 means that the estimated profit for the year of 2015 is of 10 million dollars.

For the year of 2025, that is, 10 years after 2015, the estimate is calculated as follows:

y = 10(0.99)^10 = 9.084821 = $9,084,821.

For Davis Company, the profit function is given as follows:

y = 8(1.01)^t.

Hence the profits are modeled as follows:

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Answer:

8 raspberries

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(p =\frac{q-5r}{2}\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Solving for 'p'...}}\\\\2p+5r=q\\-----------\\\\\rightarrow 2p + 5r - 5r = q - 5r\\\\\rightarrow 2p = q - 5r\\\\\rightarrow \frac{2p=q-5r}{2}\\\\\rightarrow \boxed{p =\frac{q-5r}{2}}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

To learn more about : quadratic

https://brainly.com/question/1214333

#SPJ11

where is the rest of the question?

is that it?

can you give us more info on this question? like anything?

thanks

The required sale for the year is given as $833,333.34.

Given that,
A real estate agent makes an annual salary of $25,000 plus 3% commission on sales. She wants to make at least $50,000 per year.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the sales be x,
according to the question,
25000 + 0.03x = 50000
0.03x = 25000
x = 25000/0.03
x = $833,333.34

Thus, the required sale for the year is given as $833,333.34.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ1

Answer:

C

Step-by-step explanation:

x = \(\frac{2}{3}\) πr³ ( multiply both sides by 3 to clear the fraction )

3x = 2πr³ ( divide both sides by 2π )

\(\frac{3x}{2\pi }\) = r³ ( take cube root of both sides )

\(\sqrt[3]{\frac{3x}{2\pi } }\) = r

Answer:

\(r=\sqrt[3]{\frac{3x}{2\pi }}\)

Step-by-step explanation:

This question make look scary, but don't judge its book by its cover.

\(x=\frac{2}{3} \pi r^{3} \\\frac{2}{3} \pi r^{3}=x\\r^{3} =x / \frac{2\pi }{3} \\r^{3} =x*\frac{3}{2\pi } \\r^{3} =\frac{3x}{2\pi } \\r=\sqrt[3]{\frac{3x}{2\pi }}\)

Answer:

57

Step-by-step explanation:

10x - 3 = (10 x 6) - 3

           = 60 - 3

           = 57

Here's your answer :)

The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

Learn more about the unit rate at:

https://brainly.com/question/28572142

Answer:

a²+2a-8

Step-by-step explanation:

Answer: 12

The answer to this equation would be 12, I hope this helps.

Answer:

3 x 9+3 x 15

Step-by-step explanation:

9514 1404 393

Answer:

  90 m²

Step-by-step explanation:

The given linear dimensions have the ratio ...

  red/blue = (6 m)/(4 m) = 3/2

The ratio of areas is the square of the ratio of the linear dimensions:

  (red area)/(blue area) = (3/2)²

  S = (blue area)(9/4) = (40 m²)(9/4)

  S = 90 m²

Answer:

3%

Step-by-step explanation:

They made 97+3 total jars, 3 out of 100 is 3 percent.

Consider the expression 4(8x + 5)

Complete 2 descriptions of the parts of the expression.

1. The entire expression is the product of 2 factors.

2. On its own, (8x + 5) is a sum with 2 terms.

Answer:  \(\bigg(-3,\dfrac{1}{2}\bigg)\)

Step-by-step explanation:

G = (-7, 3)    H = (1, -2)

\(M_{GH}=\bigg(\dfrac{X_G+X_H}{2},\dfrac{Y_G+Y_H}{2}\bigg)\\\\\\.\qquad = \bigg(\dfrac{-7+1}{2},\dfrac{3+(-2)}{2}\bigg)\\\\\\.\qquad = \bigg(\dfrac{-6}{2},\dfrac{1}{2}\bigg)\\\\\\.\qquad = \large\boxed{\bigg(-3,\dfrac{1}{2}\bigg)}\)

The mid point of the line GH whose end points are (-7,3) and (1,-2) is (-3,1/2).

The mid point is a line which divides the line into two equal parts. The formula to calculate the mid point of line whose end points are (x1,y1) and (x2,y2) is {(x1+x2)/2,(y1+y2)/2}.

To calculate the mid point of the line GH we have to put x1=-7, x2=1,y1=3 and y2=-2 so,

the mid point is {(-7+1)/2,(3-2)/2}

=(-3,1/2)

Hence the mid points of a line GH whose end points are g(-7,3) and h(1,-2) is (-3/1/2).

Learn more about mid point of a line at https://brainly.com/question/18315903

#SPJ2

Answer:

221 cubic metre.

Step-by-step explanation:

Volume of water in tank (v) = π × {3}^{2} × 6

= 54π cubic metre

Volume of tank (v') = π × {5}^{2} × 11

= 275π cubic metre

More Water that can be fit in the tank = v' - v

=275π - 54π

= 221π cubic metre.

ANS.

Answer:

.............................