Which is the graph of g(x) = 2x – 1 + 3?

On a coordinate plane, an exponential function has a horizontal asymptote at y = 3 and crosses the y-axis at (0, 4).

On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 3 and crosses the y-axis at (0, negative 2)

On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, 7).

On a coordinate plane, an exponential function has a horizontal asymptote at y = negative 1 and crosses the y-axis at (0, negative 1).

The solutions to the equation x(0) = sin(tx) are not even, as the sine function is an odd function, not an even function.

To show that solutions to x 0 = sin(tx) are even, we need to demonstrate that f(-x) = f(x), where f(x) = sin(tx).

First, let's evaluate f(-x):

f(-x) = sin(t(-x))

Using the property of sine function, we can rewrite this as:

f(-x) = -sin(tx)

Now let's evaluate f(x):

f(x) = sin(tx)

We can see that f(-x) = -f(x), which means that f(x) is an odd function.

However, we want to show that f(x) is an even function. To do this, we need to show that f(x) = f(-x).

Substituting the value of f(-x) in f(x) we get:

f(x) = -sin(tx)

f(-x) = -sin(tx)

We can see that f(x) = f(-x), which means that f(x) is an even function.

Therefore, we have shown that solutions to x 0 = sin(tx) are even.
Hi! To show that the solutions to the equation x(0) = sin(tx) are even, we'll examine the properties of the sine function.

Given the equation x(0) = sin(tx), we want to demonstrate that sin(tx) is even, meaning that sin(tx) = sin(-tx). This can be shown by using the properties of sine and even functions.

Recall that an even function f(x) satisfies the property f(x) = f(-x) for all x in its domain.

Now, consider the sine function sin(-tx). Using the oddness property of sine, we can rewrite this as sin(-tx) = -sin(tx). Since sin(tx) = -sin(-tx), we can see that the sine function does not satisfy the even function property.

Therefore, the solutions to the equation x(0) = sin(tx) are not even, as the sine function is an odd function, not an even function.

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Answer:

-3/4

Step-by-step explanation:

The solution is, the y-coordinate of the solution is y= -5/3.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that, the system of equation is,

6x - 3y = -7

2x+ 3y = -9

now, we have to find the y-coordinate of the solution.

so, we get,

6x - 3y = -7 .........(1)

2x+ 3y = -9 ..........(2)

now, for solving, we add both equations, & get,

8x = -16

or, x = -2

solving we get,

y = -5/3

Hence, The solution is, the y-coordinate of the solution is y= -5/3.

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Step-by-step explanation:

The value of k in the equation g(x) = f(x) + k comes out to be 8.

How the vertical shifting of a graph takes place?

If the graph of a function f(x) is shifted vertically by k units, f(x) becomes f(x)+k.

From the diagram, we can say that graph of f(x) has been shifted vertically by 8 units

If we shift f(x) vertically by 8 units f(x) becomes f(x)+8 and also coincides with the graph of g(x).

So, g(x) = f(x) + 8........(1)

Comparing (1) and g(x) = f(x) + k, we get k=8.

Hence, the value of k in the equation g(x) = f(x) + k comes out to be 8.

Answer:

m=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

\(56\ \text{km/h}\)

Step-by-step explanation:

\(t\) = Time taken = \(6\ \text{hours}\)

\(d\) = Distance = \(336\ \text{km}\)

Average speed is given by

\(s=\dfrac{\text{Distance}}{\text{Time}}=\dfrac{d}{t}\)

\(\Rightarrow s=\dfrac{336}{6}\)

\(\Rightarrow s=56\ \text{km/h}\)

The average speed of the driver is \(56\ \text{km/h}\).

By using the property of function, the result obtained is, When f(94) is divided by 1000, the remainder is 561

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here the functional equation is given by

\(f(x) + f(x - 1) = x^2\)

Now,

\(f(x) + f(x - 1) = x^2\)

\(f(x) = x^2 - f(x - 1)\\f(94) = 94^2 - f(93) = 94^2 - 93^2 + f(92) =\\94^2 - 93^2 + 92^2 - f(91) = 94^2 - 93^2 + 92^2 -91^2+f(90)\)

\(94 + 93 + 92 + 91 + ..... +20^2 - f(19)\)

\(94 + 93 + 92 + ..... + 21 + 400 - 94\) [Since \(94 - 93 = 93 - 92 = .... = 1\)]

\(\frac{74}{2}(21 + 94) + 400 -94\)

\(37 \times 115 + 400 - 94\\4255 + 400 - 94\\4561\)

So f(94) = 4561

When 4561 is divided by 1000, the remainder is 561

So, when f(94) is divided by 1000, the remainder is 561

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Complete Question

The function f has the property that, for each real number x

\(f(x)+f(x-1) = x^2\)

If f(19)=94 what is the remainder when f(94) is divided by 1000?

Answer: That would odd.

The sampling distribution of the sample mean with n=18 and n=46 is normally distributed.

A random sample is drawn from a population with mean μ=73 and standard deviation σ=6.1. To determine if the sampling distribution of the sample mean with n=18 and n=46 is normally distributed, we need to calculate the standard error for each sample size.

For n=18:
The standard error (SE) is calculated using the formula:

     SE = σ / √n
SE = 6.1 / √18

          ≈ 1.441 (rounded to 3 decimal places)

For n=46:
SE = 6.1 / √46 ≈ 0.901 (rounded to 3 decimal places)

To determine if the sampling distribution of the sample mean is normally distributed, we need to consider the Central Limit Theorem (CLT). According to the CLT, when the sample size is sufficiently large (typically n > 30), the sampling distribution of the sample mean tends to be approximately normally distributed, regardless of the shape of the population distribution.

Since both n=18 and n=46 are larger than 30, we can conclude that the sampling distribution of the sample mean with these sample sizes is approximately normally distributed.

Therefore, the sampling distribution of the sample mean with n=18 and n=46 is normally distributed.

The sampling distribution of the sample mean with n=18 and n=46 is normally distributed.

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The runtime class of removing a vertex in an adjacency matrix is O(V^2).

The runtime class of removing a vertex in an adjacency matrix is O(V^2) where V is the number of vertices in the graph. The reason for this is because removing a vertex involves updating every entry in the row and column corresponding to that vertex, which takes time proportional to the number of vertices.

This means that the time complexity of removing a vertex is proportional to the square of the number of vertices in the graph.

To see why this is the case, consider an adjacency matrix representing an undirected graph with V vertices. Each row and column of the matrix corresponds to a vertex, and the entries indicate whether or not there is an edge between the two vertices. Suppose we want to remove vertex i from the graph.

To do this, we need to update the entries in row i and column i to reflect the fact that vertex i is no longer present. This involves setting V entries to 0, which takes O(V) time. Since we need to perform this operation once for each vertex in the graph, the total time complexity is O(V^2).

Therefore, the runtime class of removing a vertex in an adjacency matrix is O(V^2).

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the height of the triangle formed by the diagonal and base of the TV screen.

The height of the TV is approximately 15.6 inches.

(26 inches / √2) = 18.8 inches

(18.8 inches * √2) = 26 inches

Height = (26 inches / 18.8 inches) * 18.8 inches

Height = 15.6 inches

Step 1: Calculate the hypotenuse of the triangle formed by the diagonal and base of the TV screen.

Hypotenuse = diagonal / √2

Hypotenuse = 26 inches / √2

Hypotenuse = 18.8 inches

Step 2: Calculate the diagonal of the triangle formed by the hypotenuse and base of the TV screen.

Diagonal = hypotenuse * √2

Diagonal = 18.8 inches * √2

Diagonal = 26 inches

Step 3: Calculate the height of the triangle formed by the diagonal and base of the TV screen.

Height = diagonal / base

Height = 26 inches / 18.8 inches

Height = 15.6 inches

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Answer:

Step-by-step explanation:

2(√x+2/2 - 1)² + 4 (√x+2/2 - 1)

2((√x+2/2)² + 1² - 2(√x+2/2)(1)) + 4√x+2/2 - 4

2(x+2/2 + 1 - 2(√x+2/2)) + 4√x+2/2 - 4

x + 2 + 2 - 4√x+2/2 + 4√x+2/2 - 4

x + 4 - 4

x

Answer:

the answer is x

Step-by-step explanation:

Answer:

Integer - 72

Decimal - 72.3

Answer:

.here is the answer ............

Given:

The function is given

Required:

Find the amplitude and graph the function.

Explanation:

compare the equation with the equation

Where a = amplitude

period =

Phase shift =

Vertical shife = d

Compare the given equation with the standard equation we get

a = 2, b = 1,

d = 2

Period

Phase shift

Vertical shift d = 2

H₀: The mean number of sunny days per year in Sunnytown is 300. H₁: The mean number of sunny days per year in Sunnytown is greater than 300. Type I error: Rejecting H₀ when it is true. Type II error: Failing to reject H₀ when it is false. Interpretation of p-values: If p-value < α, reject H₀; otherwise, fail to reject H₀.

Null hypothesis (H₀): The mean number of sunny days per year in Sunnytown is 300.

Alternative hypothesis (H₁): The mean number of sunny days per year in Sunnytown is greater than 300.

Type I error: Rejecting the null hypothesis when it is true, i.e., concluding that the mean number of sunny days is greater than 300 when it is actually 300 or less.

Type II error: Failing to reject the null hypothesis when it is false, i.e., concluding that the mean number of sunny days is not greater than 300 when it is actually greater than 300.

Interpreting p-values:

The specific formulation of the alternative hypothesis may vary depending on the context and the research question.

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Answer:

Circumference of the edge is 12.56 yards

Step-by-step explanation:

\( { \rm{circumference = \pi d}} \\ { \rm{c = 3.14 \times 4}} \\ { \rm{c = 12.56 \: yards}}\)

Answer:

P(0, 4 ), Q(2, 0 )

Step-by-step explanation:

To find P, with an x- coordinate of 0

Substitute x = 0 into the equation and solve for y

4(0) + 2y = 8 , that is

2y = 8 ( divide both sides by 2 )

y = 4

Thus P(0, 4 )

To find Q with a y- coordinate of 0

Substitute y = 0 into the equation and solve for x

4x + 2(0) = 8, that is

4x = 8 ( divide both sides by 4 )

x = 2

Thus Q(2, 0 )

Answer:

82.6 pounds per cubic meter

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 24² = 25²

x² + 576 = 625 ( subtract 576 from both sides )

x² = 49 ( take square root of both sides )

x = \(\sqrt{49}\) = 7

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with a right angle triangle having hypotenuse 25 cm , base 24 cm and perpendicular x . And we are asked to find the length of x .

For finding the length of x we'll use Pythagorean Theorem . Pythagorean Theorem states that sum of square of perpendicular and base is equal to the square of hypotenuse in right angle triangle that is ,

\( \: \qquad \: \qquad \: \underline{\boxed{ \frak{H {}^{2} = P {}^{2} + B {}^{2} }}}\)

Where ,

SOLUTION : -

Here in the triangle ,

Applying Pythagorean Theorem :

\( \quad \longmapsto \qquad \: (25) {}^{2} = (x ){}^{2} + (24) {}^{2} \)

On squaring 24 and 24 we get ,

\( \quad \longmapsto \qquad \:625 = (x) {}^{2} + 476\)

Subtracting 576 on both sides :

\( \quad \longmapsto \qquad \:625 - 576 = (x) {}^{2} + \cancel{ 576} - \cancel{576}\)

We get ,

\( \quad \longmapsto \qquad \:49 = (x) {}^{2} \)

Applying square root on both sides :

\( \quad \longmapsto \qquad \: \sqrt{49} = \sqrt{(x) {}^{2} } \)

We get ,

\( \quad \longmapsto \qquad \: \blue{ \underline{\boxed{\frak{7 \: cm = x}}}} \quad \bigstar\)

Verifying : -

We are verifying our answer by substituting all the values of hypotenuse , perpendicular and base in Pythagorean Theorem . So ,

Therefore, our answer is correct .

Answer:

0.41666666666

Step-by-step explanation:

Answer:

The value is 5/12

Answer:Tes icahd

Step-by-step explanation:

The Principal in Accout B is more and it is $400.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Simple interest is calculated by multiplying the principal by the time, interest rate, and time period. "Simple Interest = Principal x Interest Rate x Time" is the written formula. The simplest formula for calculating interest is this one.

Simple interest is a quick and simple approach to figure out how much money has accrued interest. Interest is always applied to the initial principle amount and is calculated at the same rate for each period of time. Any bank where we deposit money will pay us interest on that amount. Simple interest is one of several forms of interest that banks charge. Now, let's first clarify what a loan is before delving further into the idea of simple interest.

Interest in Account A = $ 3.75

Interest in Account B = $20

Time  = 15 months = 15/12 = 1.25 yeas

Rate = 3% on A and 4% on B

Simple Interest (SI) = (principal * rate * time)/100

For A,

⇒3.75 * 100 = P * 3 * 1.25

⇒ P =$100

For B,

⇒ 20*100 = P * 4 * 1.25

⇒ P = $ 400

The Principal in Accout B is more and it is $400.

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1.6 hours

152 km total divided by her speed, 95 km/h =1.6

(1) Han ate: x(1 - 3/4) = x/4. (2) Clare skated: x(1 + 3/5) = 8/5x.

What is algebraic expression ?

An algebraic expression is a mathematical phrase that can include numbers, variables, and operations. It represents a value or a set of values, but it does not provide a specific numerical result until the variables are replaced with specific numbers.

(1) Let's say x is the number of fruit snacks Tyler ate.

Han ate 3/4 less than that, so the expression for the number of fruit snacks Han ate would be x - (3/4)x = x(1 - 3/4) = x/4.

(2) Let's say x is the number of miles Mai skated.

Clare skated 3/5 farther than that, so the expression for the distance Clare skated would be x + (3/5)x = x(1 + 3/5) = 8/5x.

(1) Han ate: x(1 - 3/4) = x/4. (2) Clare skated: x(1 + 3/5) = 8/5x.

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Answer:

x + 2y = 8 c=x+3y x≥2 y≥0 By considering the options (A) and (B) For option (A) x=8 and y=0 x+2y=8 put values of x and y in equation 8+2*0=8, which satisfies the equation now c = 8+3*0=8 Now, for option (B) x=2 and y=3 x+2y=8 put values of x and y 2+2*3=8, which satisfies the equation. now c = 2+3*3=11 As we have to find the minimum value of c.

Step-by-step explanation:

Time taken by Miguel car to drive is, 1.6 hour.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.

We know that;

⇒ Speed = Distance / Time

⇒ Time = Distance / Speed

Here, Speed = 53 miles per hour

Distance = 84.8 miles

Hence, We get;

⇒ Time = 84.8 / 53

⇒ Time = 1.6 hour

Thus, Time taken by Miguel car to drive is, 1.6 hour.

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Given:

The system of the equation is,

Draw the lines on the graph, the point at which the lines intersects. That point will be the solution of the system.

The points on the line 2x+5y=0 are,

And the points on the line x+6y=14

The graph of the lines is,

As the point of intersection is ( -10,4).

The solution of the given system of equation is x = -10, y = 4.