which funtion's domain consists of all real numbers execpt -2 will mark brainliest and im giving 87 points

Answer:

17

Step-by-step explanation:

If in a 7 sided polygon 4 diagonals can be drawn then as you increase the number of sides you increase the number of diagonals

8 sides

5 diagonals and so on

Answer:

The simplified value of the expression m/n if m=4/5 and n= −0.25 is -16.

Step-by-step explanation:

GIVE ME BRAINLEST!!!!!!!!!!!!!!!!!!!

Option D is the correct.

The given function f: R → R with the rule f(x) = 3x + 2. Let R represent the set of all real numbers.

What is a function?

A function is defined as the set of ordered pairs in which each first element of the ordered pair maps to one unique second element of the ordered pair.

What is an injective function?

A function f(x) is called one-to-one or an injective function, if and only if each and every element of the function domain is paired with exactly one element of the function range.

What is a surjective function?

A function f(x) is called onto or a surjective function, if and only if each and every element of the function range is paired with at least one element of the function domain.

What is a bijective function?

A function f(x) is called a bijection or a bijective function if it is both injective and surjective.

The given function is a function because for every x in R, there is exactly one image (3x+2) in R.

Let x₁, x₂ be two distinct real numbers in R, then3x₁ + 2 ≠ 3x₂ + 2, which implies f is injective or one-to-one.

Therefore, the given function f is both an injective function and a surjective function.

So, the function is a Bijective function

Option D is the correct choice. The given function f: R → R with the rule f(x) = 3x + 2 is Bijective function.

To know more about surjective function visit:

https://brainly.com/question/13656067

#SPJ11

Answer:

x=6

Step-by-step explanation:

To solve, we'll reverse the terms in order to find x.

Reverse Terms:

-7 + 13 = x

Solve:

x=6.

Answer:

x=-7+13

x=6

Explanation

-13 after the equal sign becomes positive.you take -13 and put it after the equal sign,then add

Answer:

  264 cm²

Step-by-step explanation:

You want the area of a polygon composed of a 12 cm square with triangles of height 5 cm attached to each side.

The area of the square is the square of its side lenght:

  A = s²

  A = (12 cm)² = 144 cm²

The area of the four triangles is ...

  A = 4 × (1/2bh)

  A = 4 × 1/2(12 cm)(5 cm) = 120 cm²

The total area of the composite figure is ...

  A = square area + triangle area

  A = 144 cm² +120 cm² = 264 cm²

The area of the polygon is 264 cm².

<95141404393>

Answer:

Composite

Step-by-step explanation:

To determine if this is prime or composite, we must solve the expression.

200^2-399

40,000-399=39,601

39,601 is divisible by 199. Therefore, it is a composite number.

The speed of the wind is approximately 17.31 mph.

To determine the speed of the wind, we can use the concept of relative velocity. Let's assume that the speed of the airplane in still air (without wind) is represented by V, and the speed of the wind is represented by W. On the flight from New York to San Francisco, the airplane is flying against the wind, so the effective speed would be reduced. The time taken for this leg of the journey is 6.5 hours.The equation for the distance traveled is given by: Distance = Speed * Time

For the first leg of the journey, the distance is 2700 miles, the speed of the airplane (against the wind) is (V - W), and the time taken is 6.5 hours. Therefore, we have: 2700 = (V - W) * 6.5   ... (equation 1)

Similarly, on the return flight, the airplane is flying with the wind, so the effective speed would be increased. The time taken for this leg of the journey is 6 hours. Using the same equation for distance, we have:

2700 = (V + W) * 6   ... (equation 2)

Now we have a system of two equations with two unknowns (V and W). We can solve this system of equations to find the values of V and W.

Let's solve the system of equations:

From equation 1: 2700 = (V - W) * 6.5

Divide both sides by 6.5:

415.38 = V - W   ... (equation 3)

From equation 2:

2700 = (V + W) * 6

Divide both sides by 6:

450 = V + W   ... (equation 4)

Now we can solve equations 3 and 4 simultaneously. Adding equations 3 and 4, we get: 415.38 + 450 = V - W + V + W

865.38 = 2V

V = 432.69 mph

Substituting the value of V back into equation 4:

450 = 432.69 + W

W = 17.31 mph

Therefore, the speed of the wind is approximately 17.31 mph.

Learn more about linear equation in two variables here:

https://brainly.com/question/30339221

#SPJ11

Given :

David rented a truck for one day there was a base fee of $17.99 .

Charge per mile driven is, c = 98 cents = $0.98 .

He pay $137.55 at the end of the day.

To Find :

How many miles did he drive the truck.

Solution :

Let, number of miles he drive is n.

So,

\(n = \dfrac{137.55 - 17.99}{0.98}\\\\n = 122\ miles\)

Therefore, number of miles he drive the truck is 122 miles.

Answer:

15

Step-by-step explanation:

3x + 8 + 84 + 43 = 180

3x + 135 = 180

3x = 45

x = 15

Step-by-step explanation:

x/9 = 9/15

x = 9(9)/15

x= 5.4

Here are the solutions to each problem, which include the center and radius for each circle:7. Center: (6, -3); Radius: 6.9. Center: (-7, 10); Radius: 13.11. Center: (1, -2); Radius: 1/2.8. Center: (0, 9); Radius: 3/2.10. Center: (7/2, 3/2); Radius: 5/2.12. Center: (2, 0); Radius: 1.

The solution is given as follows;7. x² - 12x + y² + 6y = - 9.

We start by grouping the x and y terms separately, then completing the square by adding half of the coefficient of the respective variable and squaring the result. x² - 12x + y² + 6y = - 9(x² - 12x + __) + (y² + 6y + __) = - 9 + __ + __

Now, we'll fill in the blanks in the parentheses so that the trinomials are perfect squares: (x² - 12x + 36) + (y² + 6y + 9) = - 9 + 36 + 9.

This simplifies to: (x - 6)² + (y + 3)² = 36.

The center of the circle is (6, −3), and its radius is 6.9. x² + y² + 14x - 20y - 20 = 0.

First, we group the x terms and the y terms separately:x² + 14x + y² - 20y = 20.

Now, we'll complete the square in both x and y. x² + 14x + y² - 20y = 20(x² + 14x + __) + (y² - 20y + __) = 20 + __ + __.

We'll fill in the blanks so that the trinomials are perfect squares.

To find the terms to add, we take half of the coefficient of the variable and square it. (x² + 14x + 49) + (y² - 20y + 100) = 20 + 49 + 100

Simplifying, we get (x + 7)² + (y - 10)² = 169.

The center of the circle is (-7, 10), and its radius is 13.x - 2x + y + 3/2y = -1

We first rearrange the terms. x - 2x + y + 3/2y = -1-x - 1/2y = -1

We then complete the square in x and y as follows. x - 2x + y + 3/2y = -1(x - 1) - (1/2)(y + 2) = -1/2(x - 1)² - 1/4(y + 2)² = 1/2

The center of the circle is (1, -2) and its radius is 1/2.8. - 3x² - 3y² + 27y + 61 = 0

We rearrange and group the terms. - 3x² - 3y² + 27y = -61

We then complete the square. - 3x² - 3(y² - 9y + 81/4) + 27(81/4) = -61 - 3(81/4)(x² + (y - 9/2)² = 405/4

The center of the circle is (0, 9) and its radius is 3/2.10. x² + y² - 7x - 3y - 1 = 0

We rearrange and group the terms. x² - 7x + y² - 3y = 1

We then complete the square. x² - 7x + 49/4 + y² - 3y + 9/4 = 1 + 49/4 + 9/4(x - 7/2)² + (y - 3/2)² = 25/4

The center of the circle is (7/2, 3/2), and its radius is 5/2.12. 4x² - 16x + 4y² + 16 = 0

We rearrange and group the terms. 4x² - 16x + 4y² = -16

We then complete the square. 4(x² - 4x + 4) + 4y² = 0(x - 2)² + y² = 1

The center of the circle is (2, 0), and its radius is 1.

Completing the square is a method used to turn quadratic expressions in standard form into perfect squares. It’s often used to find the center and radius of circles.

Here are the solutions to each problem, which include the center and radius for each circle:7. Center: (6, -3); Radius: 6.9. Center: (-7, 10); Radius: 13.11. Center: (1, -2); Radius: 1/2.8. Center: (0, 9); Radius: 3/2.10. Center: (7/2, 3/2); Radius: 5/2.12. Center: (2, 0); Radius: 1.

know more about quadratic expressions

https://brainly.com/question/10025464

#SPJ11

The loss function shown in the image below can be written in Python using the given information as follows:L(y, y_hat) = -(1/N) * ∑(n∈N) ∑(i∈C) y_n,i * log(y_hat_n,i)Where N = number of training samples, C = number of classes, y is a one-hot-encoding vector, and y_hat are vectors of probabilities.

Here's how to write the function in Python:```def loss(y, y_hat):N = len(y)C = len(y[0])loss_val = 0for n in range(N):for i in range(C):loss_val += y[n][i] * math.log(y_hat[n][i])loss_val = -(1/N) * loss_valreturn loss_val```In this Python function, the inputs are y and y_hat, and it returns the loss value. The function calculates the value of the loss function by iterating through each training sample (n) and each class (i) and summing up the value of y_n,i * log(y_hat_n,i).Finally, the function returns the negative of the sum of this value over all training samples, divided by the number of training samples.

Learn more about python:

https://brainly.com/question/26497128

#SPJ11

The values for θ (0 ≤ θ ≤ 2π) that satisfy the equation are; D: θ = π/3, 5π/3

We are given the trigonometric equation;

3 sin θ = sin θ - √3

Rearranging this gives;

sin θ - 3 sin θ = √3

(1 - 3) sin θ = √3

-2sin θ = √3

sin θ = -(√3)/2

θ = sin⁻¹-(√3)/2

θ = π/3, 5π/3

Read more about Trigonometric Equations at; https://brainly.com/question/24349828

#SPJ1

The solution of the sum of the numbers will be 5.

To make the addition easier, we can first simplify the fractions by finding a common denominator. The smallest common multiple of 2, 3, and 4 is 12. We can rewrite the fractions with this denominator:

7/4 = (7/4) x (3/3) = 21/12

1/2 = (1/2) x (6/6) = 6/12

5/3 = (5/3) x (4/4) = 20/12

1/3 = (1/3) x (4/4) = 4/12

1/4 = (1/4) x (3/3) = 3/12

1/2 = (1/2) x (6/6) = 6/12

Now we can add the fractions together:

21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12

Combining like terms, we get:

60/12 = 5

So the sum of the original fractions is equal to 5.

To know more about summation follow

https://brainly.com/question/542712

#SPJ1

Answer:

1.75

Step-by-step explanation:

number = (5÷4) + 1/2

              = 1.75

Answer:

Step-by-step explanation:

Let Michael's age be x and James' age be y

x  +  y  =  98        ------------------       (1)

x  -  y  =  22        -------------------       (2)

Adding (1) and (2) , we get ,

2x  =  120

x = 60 yrs
y = 98 - 60 = 38 yrs

Answer:

One

Step-by-step explanation:

You can see this easily if you plot the three points on a graph and plot the fourth point using the fact that the sides of a parallelogram are of equal length.

Figure provided

fourth vertex D has coordinates (9,0)

We obtain this by noting that the x and y distances between A and B are
(3-1, 2-(-1) = 3, 2

= (2, 3)

Add these same dimensions to C to get point D

D = (7 +2, -3 + 3) = (9 , 0)

Only one such vertex exists which will cover the other three points

The lengths of the diagonals of rectangle is 66 units

The properties of a rectangle is given as;

From the information given, we have that;

$WY=14x+10

$XZ=11x+22

Since the diagonals are of the same length, we have;

WY = XZ

14x + 10 = 11x + 22

collect like terms

14x - 11x = 22 - 10

subtract the like terms

3x = 12

Make 'x' the subject of the formula

x = 4

WY = 54 + 10 = 66

XZ = 66

Hence, the values are 66

Learn about diagonals on:

https://brainly.com/question/26154016

#SPJ1

Answer:

5.425

Step-by-step explanation:

310° = 310° × π ÷ 180°

= 310° × 3.142 ÷ 180°

= 310° × 0.0175

= 5.425

Answer:

Step-by-step explanation:

i got it right on khan\(\frac{31\pi }{18}\)

According to the given statement The evaluated logarithm log₃₆ 6 is approximately 1.631.

To evaluate the logarithm log₃₆ 6, we need to find the exponent to which we need to raise the base (3) in order to get 6.
In this case, we are looking for the value of x such that 3 raised to the power of x equals 6.
So, we need to solve the equation 3ˣ = 6. .

Taking the logarithm of both sides of the equation with base 3, we get:

log₃ (3ˣ) = log₃ 6.

Using the logarithmic property logₐ (aᵇ) = b, we can simplify the equation to:
x = log₃ 6.

Now, we just need to evaluate the logarithm log₃ 6.

To do this, we ask ourselves, what exponent do we need to raise 3 to in order to get 6.

Since 3^2 equals 9, and 3¹ equals 3, we know that 6 is between 3¹ and 3².

Therefore, the exponent we are looking for is between 1 and 2.

We can estimate the value by using a calculator or by trial and error.

Approximately, log₃ 6 is equal to 1.631.
So, the evaluated logarithm log₃₆ 6 is approximately 1.631.

To know more about logarithm  visit:

https://brainly.com/question/30226560

#SPJ11

Evaluating each logarithm, we found that log₃ 6 is approximately 1.8.

To evaluate the logarithm log₃₆ 6, we need to find the exponent to which the base 3 must be raised to get 6 as the result. In other words, we need to solve the equation \(3^x = 6.\)

To do this, we can rewrite 6 as a power of 3. Since \(3^1 = 3 ~and ~3^2 = 9\), we can see that 6 is between these two values.

Therefore, the exponent x is between 1 and 2.

To find the exact value of x, we can use logarithmic properties. We can rewrite the equation as log₃ 6 = x. Now we can evaluate this logarithm.

Since \(3^1 = 3 ~and ~3^2 = 9\), we can see that log₃ 6 is between 1 and 2. To find the exact value, we can use interpolation.

Interpolation is the process of estimating a value between two known values. Since 6 is closer to 9 than to 3, we can estimate that log₃ 6 is closer to 2 than to 1. Therefore, we can conclude that log₃ 6 is approximately 1.8.

Learn more about logarithmic properties

https://brainly.com/question/12049968

#SPJ11

To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -5 and b = 286.

x = -b/2a

x = -286/(2(-5))

x = 28.6

So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).

Therefore, the widgets should be sold for $28.60 to maximize the company's profit.

Hope I helped ya...

Answer:

29 cents

Step-by-step explanation:

The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:

\(y=-5x^2+286x-2275\)

The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.

The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:

\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)

For the given equation, a = -5 and b = 286.

Substitute these into the formula:

\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)

\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)

\(\implies x_{\sf vertex}=\dfrac{286}{10}\)

\(\implies x_{\sf vertex}=28.6\)

Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.

Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.

Means and Variances of Linear Combinations:


(a) X1 - 2X2

Mean: μa = μ1 - 2μ2

Variance: σa2 = σ12 + 4σ22 + 4σ122



(b) X1 + 2X2 - 3

Mean: μb = μ1 + 2μ2 - 3

Variance: σb2 = σ12 + 4σ22 + 4σ122



(c) 3X1 - 4X2

Mean: μc = 3μ1 - 4μ2

Variance: σc2 = 9σ12 + 16σ22



In the case that X1 and X2 are independent, then σ122 = 0, so:

(a) X1 - 2X2

Mean: μa = μ1 - 2μ2

Variance: σa2 = σ12 + 4σ22



(b) X1 + 2X2 - 3

Mean: μb = μ1 + 2μ2 - 3

Variance: σb2 = σ12 + 4σ22



(c) 3X1 - 4X2

Mean: μc = 3μ1 - 4μ2

Variance: σc2 = 9σ12 + 16σ22

Therefore, the values of y and z are y = 14 and z = 4, respectively.

To find the values of y and z, we can use the cross product of vectors ả and è to obtain vector b.

The cross product of two vectors a and c is calculated as follows:

a × c = (ay * cz - az * cy, az * cx - ax * cz, ax * cy - ay * cx)

Given ả = (1, 3, -1) and è = (-3, y, z), and knowing that ả × è = b = (2, 1, 5), we can equate the corresponding values :

ay * z - (-1) * y = 2 -> (1)

(-1) * z - 1 * (-3) = 1 -> (2)

1 * y - 3 * (-3) = 5 -> (3)

From equation (1):

yz + y = 2

y(z + 1) = 2

y = 2 / (z + 1)

Substituting this value of y in equations (2) and (3):

z + 3 = 1

z = 4

y - 9 = 5

y = 14

To know more about values,

https://brainly.com/question/27894051

#SPJ11

Answer:

\(4 {q}^{3} \times 9 {q}^{4} \)

\(36 {q}^{7} \)

Answer:

Step-by-step explanation:

4*q^3*9*q^4

4*9*q^4+3

36q^7

in multiplication if the base are same we add their power.

Answer: the answer is 0

Why 0?:

Step 1: Simplify both sides of the equation

-x * x= -x²

-x * -3= 3x all  together it is ( -x²+3x+12)

for the other side:

-x * x= -x²

6 * x= 6x and x * 2= 2x and 6 * 2= 12

then subtract 6x-4x= 2x so final would be = −x²+4x+12

Step 2: Add x² to both sides.

−x²+3x+12+x²=−x²+4x+12+x² then we are left with 3x+12=4x+12

Step 3: Subtract 4x from both sides.

3x+12−4x=4x+12−4x  --> −x+12=12

Step 4: Subtract 12 from both sides.

−x+12−12=12−12

−x=0

Step 5: Divide both sides by -1 or -x

x=0

Answer:

________________

I think it's 85 yards

Answer:

y = -3/4(x+4)

Step-by-step explanation:

The point slope formula is given by

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y-0 = -3/4(x - -4)

y = -3/4(x+4)

Answer:

B

Step-by-step explanation:

Area of triangle - 1/2*c*d

Area of circle - 1/2*pi*(a/2)^2 = pi * a^2/8

Total area = 1/2cd + a^2 pi/8