Evaluate 2^9 (2 to the 9th power)

For this equation you simply have to graph it.

First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.

Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.

Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.

Hope this helps a bit,

Answer:  B.    y = -13/6x + 8  

Step-by-step explanation:

13x + 6y = 48    subtract 13x from both sides

-13x           -13x

  6y = -13x + 48      Divide both sides by 6  

   y = -13/6x + 8

Answer:

The answer is B. y = -13/6x+8

Step-by-step explanation:

Answer:

c! :))

Step-by-step explanation:

i cant exactly remember how  to explain it step by step, but all i remember is that i took a similar test not too long ago that had the same question!

Answer:

C. There are infinetly many solutions.

Step-by-step explanation:

A system of linear equations has infinite solutions when the graphs are the exact same line.

Answer:

Step-by-step explanation:

You want the population density in each of two countries with populations of 6.6 million and 807 thousand in areas of 6025 and 462,268 square miles, respectively.

The population density is found by dividing the population by the area.

  6.6·10^6/6025 ≈ 1095 . . . . people per square mile

  807,000/462,268 ≈ 1.746 . . . . people per square mile

Answer:

x=1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Answer:

  x = 36

Step-by-step explanation:

Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.

The product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.

  24² = 12(12 +x)

  2·24 = 12 +x . . . . . . . divide by 12

  36 = x . . . . . . . . . subtract 12

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Answer:

C.

Step-by-step explanation:

because x value cannot be repeated in an ordered pair

Answer:

F(x)=x+7  the answer is A

Step-by-step explanation:

You can see the table is adding positive 7 to each number on the X column because -8+7=-1, -2+7=5, 5+7=12, 7+7=14. I PROMISE ITS RIGHT :)

Answer:

Step-by-step explanation:

First compare functions f(x) and g(x),

Output values f(x) are same in both the tables.

Input value of f(x) = -2

Input value of g(x) = -3

Difference in input values = -3 + 2 = -1

This reveals that function has been shifted by (-1) units on the x-axis.

Therefore, g(x) = f(x - 1)

Now compare f(x) and h(x),

Input values of both the tables are same.

Difference in output values = 0 - (-2) = 2

That means graph of the function has been shifted by 2 units up along y-axis.

Therefore, h(x) = f(x) + 2

Answer:

Step-by-step explanation:

let (x1 , y1) = ( - 3, - 4) and (x2 , y2) = ( 6 , 8)

Slope (m)

= y2 - y1 / x2 - x1

= 8 + 4 / 6 + 3

= 12 / 9

= 4/3

The two points with an x-coordinate of 2 and a distance of 5 from (-2, -4) are: (2, -4 + 2√13) and (2, -4 - 2√13)

What is distance formula?

Distance is a measurement of how far away two things or locations are, either numerically or occasionally qualitatively.

Distance formula: \(distance = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)}\)

We can solve this problem using the distance formula, which gives us the distance between two points in a plane:

\(distance = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)}\)

Let (x, y) be a point with an x-coordinate of 2. Then we can write the distance from (-2, -4) to (x, y) as:

\(distance = \sqrt{((x - (-2))^2 + (y - (-4))^2)}\)

Simplifying this expression, we get:

\(distance = \sqrt{((x + 2)^2 + (y + 4)^2)}\)

We know that the distance between (-2, -4) and (x, y) is 5. Therefore, we can write:

\(\sqrt{((x + 2)^2 + (y + 4)^2)} = 5\)

Squaring both sides, we get:

\((x + 2)^2 + (y + 4)^2 = 25\)

Expanding the left side, we get:

\(x^2 + 4x + 4 + y^2 + 8y + 16 = 25\)

Simplifying this expression, we get:

\(x^2 + 4x + y^2 + 8y - 5 = 0\)

To find all points with an x-coordinate of 2 that satisfy this equation, we can substitute x = 2 and simplify the resulting equation:

\(2^2 + 4(2) + y^2 + 8y - 5 = 0\)

Simplifying this equation, we get:

\(y^2 + 8y + 3 = 0\)

We can solve this quadratic equation using the quadratic formula:

y = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = 8, and c = 3.

Plugging in these values, we get:

y = (-8 ± sqrt(8^2 - 4(1)(3))) / 2(1)

Simplifying this expression, we get:

y = (-8 ± √52) / 2

y = (-8 ± 2√13) / 2

y = -4 ± √13

Therefore, the two points with an x-coordinate of 2 and a distance of 5 from (-2, -4) are: (2, -4 + 2√13) and (2, -4 - 2√13)

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Answer:

mu = the population true mean time spent by teenagers playing computer game this year

Step-by-step explanation:

Dear student, there is no much information given to answer this question but we will try as much as possible to explain  (what is the parameter) of the true mean.

In 1990s;

μ = 10.2 hours/week

From the information given,we understand that the parameter is linked to the population, and we're looking for the population average time spent playing computer games by teens in the current situation.

In this situation, the population parameter is the population true mean mu = the population true mean.

The solutions to the equation \(x^2 = 100\) are \(x = 10\) and \(x = -10\).

A formula that explains the relationship between the two expressions on either side of a sign. According to algebra, an equation is a statement that shows the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 is made up of the two equations 3x + 5 and 14, which are separated by the equal sign. Your example is indeed an equation because an equation is any expression with just an equals sign. Equations are frequently employed in mathematical statements because mathematicians like equal signs. A formula is a list of rules for achieving a particular result.

To solve the equation \(x^2 = 100\), we can follow these steps:

Each side of the equation's square root is as follows:

x = ±10

Therefore, the solutions to the equation \(x^2 = 100\) are \(x = 10\) and \(x = -10\).

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Step-by-step explanation:

The lines or plains which contain R:

$37.50

tax = 8%

tip = 18%

a) 37.5 ------------------ 100%

x ------------------- 8%

x = (8 x 37.5) / 100

x = 3

Tax = $3

b) Money of lunch plus tax = $40.5

40.5 -------------------- 100

x --------------------- 18

x = (18 x 40.5) / 100

x = 7.29

Total amount paid = 7.29 + 40.5

= $ 47.79

The other Washington DC landmark with coordinates (8,-10) is located in the fourth quadrant of the map.

To determine in which quadrant of the map a point with coordinates (8,-10) is located, we need to look at the signs of the x and y coordinates.

Since the x-coordinate (8) is positive and the y-coordinate (-10) is negative, this point is located in the fourth quadrant.

In general, the four quadrants of a Cartesian coordinate system are divided by the x and y-axes.

The first quadrant is located in the upper right-hand corner and contains points with positive x and y coordinates.

The second quadrant is located in the upper left-hand corner and contains points with negative x and positive y coordinates.

The third quadrant is located in the lower left-hand corner and contains points with negative x and y coordinates.

Finally, the fourth quadrant is located in the lower right-hand corner and contains points with positive x and negative y coordinates.

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Answer:

\(y = - \frac{2}{3} x + 7\)

You get this equation when you plug in the values to find out the y intercept.

The percent of people in poverty increases by 0.77 percentage points.

The equation of the linear regression line for the association between the percent of people in poverty and the percent of population 25 years and over with no high school diploma is y = 0.77x - 0.72.

This indicates that for every 1 percentage point increase in the percent of population 25 years and over with no high school diploma, the percent of people in poverty increases by 0.77 percentage points.

Therefore, the percent of people in poverty increases by 0.77 percentage points.

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To determine whether the furnace will be adequate for a 1,400 square foot house with a 9-foot ceiling, we need to calculate the volume of the house and compare it to the volume the furnace is designed to heat.

The volume of the house can be found by multiplying the square footage by the ceiling height:

1,400 sq ft x 9 ft = 12,600 cubic feet

Since the furnace is designed to heat 10,000 cubic feet, and the house has a volume of 12,600 cubic feet, the furnace may not be adequate for heating the house. The furnace is not capable to heat the entire house.

The original point has coordinates (11,-5)

The transformation applied to this point are Rx=0 * T(11,-5)

First, you have to do the translation T(11,-5), this means that you have to make a horizontal translation 11 units to the right, and a vertical translation 5 units down, following the rule:

So, add 11 units to the x-coordinate and subtract 5 units to the y-coordinate of (11,-5)

Once you've made the translation, you have to reflect the point (22,-10) over the vertical line x=0, this vertical line is the y-axis. This means that you have to reflect the point over the y-axis.

To do this reflection you have to invert the sign of the x-coordinate of the point and leave the y-coordinate the same:

The coordinates of the point after the translation and reflection are (-22,-10), option 1

The correct option is: As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0. As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.

The end behavior of the function f(x) = -2∛x describes how the function behaves as x approaches positive or negative infinity.

Since the cube root of x approaches infinity as x approaches infinity, and negative infinity as x approaches zero from the right, the negative cube root of x will approach negative infinity as x approaches zero from the right.

Therefore, as x approaches negative or positive infinity, f(x) approaches zero. As x approaches zero from the right, f(x) approaches negative infinity.

So, the correct option is: As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0. As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.

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Answer: D

Substitute 0 for x and to find the y-intercept.

y-intercept(s): (0,5)

Answer:

For y(-7) =6.4

        The  largest interval  is  between  

                                       \(-\infty \to -5\)

For   y(-2.5) = -0.5.

          The  largest interval  is  between  

                                        \(-5 \to 5\)

For  y(0) = 0

          The  largest interval  is  between  

                                        \(-5 \to 5\)

For y(4.5) = -2.1.

            The  largest interval  is  between  

                                        \(-5 \to 5\)

For y(14)= 1.7.

                          The  largest interval  is  between  

                                        \(9 \to \infty\)        

Step-by-step explanation:

From m the question we are told that

     The first order differential equation is   \(\frac{y' - t}{ t^2 -25} = \frac{e^t}{t-9}\)

Now the first step is to obtain the domain of the differential equation

Now to do that let consider the denominators

  Now generally

                           \(t^2 - 25 \ne 0\)                                           side calculation

                   =>     \(t\ne \pm5\)                                                      \(t^2 - 25 = 0\)

                                                                                          \(t = \pm 5\)

Also              \(t-9\ne 0\)                                                     \(t -9 = 0\)

        =>          \(t\ne 9\)                                                            \(t= 9\)    

This means that this  first order differential equation is discontinuous at

       \(t = -5 , \ \ t = 5 \ \ t = 9\)

  \(This \ is \ illustrated \ below \ \\ ------------------\\\. \ \ \ | \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ | \ \ \ \ \ \ \ \ \ \ \ \ \ |\\. \ -5 \ \ \ \ \ \ \ \ \ \ \ \ 5 \ \ \ \ \ \ \ \ \ \ \ \ \ 9\)

So

For y(-7) =6.4

        The  largest interval  is  between  

                                       \(-\infty \to -5\)

For   y(-2.5) = -0.5.

          The  largest interval  is  between  

                                        \(-5 \to 5\)

For  y(0) = 0

          The  largest interval  is  between  

                                        \(-5 \to 5\)

For y(4.5) = -2.1.

            The  largest interval  is  between  

                                        \(-5 \to 5\)

For y(14)= 1.7.

                          The  largest interval  is  between  

                                        \(9 \to \infty\)        

The exact slope is impossible to know for sure, because the function is not written out explicitly. (If we did, we could just do dV/dt evaluated at t = 10.)

However, you can estimate the slope at P by finding the average rate of change between t=5 and t=15, or by taking the average of the slopes of the adjacent secants. There are several ways to approximate the answer, but I don’t think you can find its exact value.

The correct answer or scientific notation when 3.185× 10¹⁷ is divided by 9.1×10⁸ is 3.46×10⁸ and multiplying  3.185× 10¹⁷ with 9.1×10⁸  is 2.9×10²⁶.

It is given in the question that 3.185× 10¹⁷ is divided by 9.1×10⁸

we can write 3.185×10×10¹⁶ which equals 31.5×10¹⁶.

Now dividing 31.5×10¹⁶ by 9.1×10⁸ we get 3.46×10⁸.

Now multiplying  3.185× 10¹⁷ with 9.1×10⁸ we get 28.98×10²⁵

Converting 28.98×10²⁵ in scientific notation we get 2.9×10²⁶.

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation and known as standard form in the UK .

In scientific notation, a representation of a number that is a power of ten can also be written with equal ease. Additionally, you'll see that the amount of zeros in a regular decimal expression is exactly equal to the power to which 10 is raised.

Any time a number is expressed in words, it must first be written down as a regular decimal number before being converted. "Ten million" becomes "10,000,000" and vice versa.Ten million is written in powers of ten notation because there are seven zeros in all.

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The algebraic solution for the variable x is as follows:

The equation is represented as follows;

2 / 5 (2 - x) = - 1 / 3 x + 1 / 2

open the bracket on the left side

2 / 5 (2 - x) = - 1 / 3 x + 1 / 2

4 / 5  - 2x / 5 = - 1 / 3 x + 1 / 2

Add 1  /3 x to both sides

4 / 5  - 2x / 5 = - 1 / 3 x + 1 / 2

4 / 5  - 2x / 5 + 1 / 3 x  = - 1 / 3 x + 1 / 3 x  + 1 / 2

4 / 5 + 1 / 3 x - 2 / 5 x = 1 / 2

4 / 5 + 5x - 6x / 15 = 1 / 2

4  / 5  - x / 15 = 1 / 2

subtract 4 / 5 from both sides

4  / 5 - 4 / 5  - x / 15 = 1 / 2 - 4 / 5

- x / 15 = 5 - 8 / 10

- x / 15 = - 3 / 10

cross multiply

- x / 15 = - 3 / 10

-10x = - 45

divide both sides by -10

x = 45  /10

x = 9 / 2

Therefore, the algebraic solution for the variable x is 9 / 2.

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4x-4=20

or, 4x=20+4

or,4x=24

or,x=20/4

tgerefore,x=5

Answer:

honesty i don't know fam

Answer:

a.

\( {15x}^{3} - 26 {x}^{2} + 26x - 24\)

b. No

Step-by-step explanation:

a.

\((3x - 4)(5 {x}^{2} - 2x + 6)\)

\( = 15 {x}^{3} - 6 {x}^{2} + 18x - 20 {x}^{2} + 8x - 24\)

\( = 15 {x}^{3} - 26 {x}^{2} + 8x - 24\)

b. No, because 4 - 3x = -(3x -4).