Write an equation for the graph below.

Y = [blank]x + [blank]

The additive inverse are;

For expression;

a) 3-5

Additive inverse = - 3 - (-5)

For expression;

b) 5 - 3

Additive inverse = - 5 - (-3)

What is additive inverse?

The Property of Additive Inverse states that the summation of a number and it's Additive inverse is zero.

The expressions are;

3 - 5 and 5 - 3

Now, The Property of Additive Inverse states that the summation of a number and it's Additive inverse = 0

And, An Additive inverse of a positive integer is a negative integer and vice versa.

For example: 7 - 7 = 0

Here, The additive inverse of 7 = -7

Since, For the question above, we are asked to use the additive inverses and their properties to find the equivalent expressions.

a) 3 - 5

Hence, Additive inverse = - 3 - (-5)

                                      = -3 + 5

                                      = 2

b) 5 - 3

Hence, Additive inverse = - 5 - (-3)

                                      = - 5 + 3

                                      = - 2

So, The additive inverse are;

For expression;

a) 3-5

Additive inverse = - 3 - (-5)

For expression;

b) 5 - 3

Additive inverse = - 5 - (-3)

Learn more about the additive inverse visit:

https://brainly.com/question/16932151

#SPJ1

Answer:

3-5:

3+(-5)

-5+3

5-3:

-3+5

5+(-3)

Step-by-step explanation:

hope this helps ya (⁠☆⁠▽⁠☆⁠)

The more appropriate measures of central and spread for the data set are; Mean and Range respectively.

It follows from the task content that the data set given is; 5 8 10 14 24.

Although, the mean and median of a dataset are the major measures of central tendency, the mean, more specifically is a better and more accurate measure of central tendency for this dataset as they are not evenly spaced.

Secondly, the Range is a better measure of spread in the task content as the number 24 seems to be an outlier and may significantly affect the measure of spread if deviation is considered.

Read more on Central and spread;

https://brainly.com/question/1378589

#SPJ1

Answer:

24x + 15

Step-by-step explanation:

You multiply 24 and x together, then add 15 to the sum.

If the quadrilateral in the coordinate plane has exactly two lines of symmetry, y = x - 1 and y = -x + 2, then we can say that the four possible vertices are; (0,-1), (2,0), (3,2), (1,1)

A line of symmetry is defined as the line that divides a shape or an object into two equal and symmetrical parts.

We are given the two linear equations as;

y = x - 1 and y = -x + 2

Let us find values to draw the graph;

For y = x - 1;

When x = 0, y = 0 - 1 = -1

When x = 1, y = 1 - 1 = 0

When x = 2, y = 2 - 1 = 1

When x = 3, y = 3 - 1 = 2

For y = -x + 2;

When x = 0, y = -0 + 2 = 2

When x = 1, y = -1 + 2 = 1

When x = 2, y = -2 + 2 = 1

When x = 3, y = -3 + 2 = -1

From the graph of the given 2 linear equations, we can see that, there are four possible vertices which are (0,-1), (2,0), (3,2), (1,1)

Read more about Line of Symmetry at; https://brainly.com/question/27746983

#SPJ1

The value of x is 14.

We know in an isosceles triangle an isosceles polygon is a polygon with at least two sides of equal length.

We have two sides measured 2x-9 and x+ 5.

From the figure the length of sides are equal then

2x-9 = x+ 5

2x- 9- x = 5

x-9 = 5

Add 9 to both sides of the equation:

x - 9 + 9 = 5 + 9

x= 14

Thus, the value of x is 14.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ1

Answer:

the area is 6cm2

Step-by-step explanation:

1/2 bh

1/2 4 x 3

1/2 12

6

Answer:

c.y is the correct answer

Step-by-step explanation:

because its defined in x from the left ×<=1

The value of dy/dx is -cotθ, d^2y/dx^2 is -6cosec³θ, slope is -cotθ, concavity is -6cosec³θ.

Parametric Equations Point x = 6cosθ, y = 6sinθ and θ = π/4

We have to determine the value of dy/dx.

We can define dy/dx as;

dy/dx = (dy/dθ)/(dx/dθ)

We first define dy/dθ and dx/dθ.

x = 6cosθ                             y = 6sinθ

dx/dθ = -6sinθ                     dy/dθ = 6cosθ

Now put the value

dy/dx = 6cosθ/(-6sinθ)

dy/dx = -cotθ

Now we have to determine the value of d²y/dx².

d²y/dx² = d/dx(dy/dx)

We can write it as

d²y/dx² = \(\frac{\frac{d}{d\theta}(\frac{dy}{dx})}{dx/d\theta}\)

We first determine the value of d/dθ(dy/dx)

d/dθ(dy/dx) = d/dθ(-cotθ)

d/dθ(dy/dx) = cosec²θ

Now put the value

d²y/dx² = cosec²θ/(-6sinθ)

d²y/dx² = -6cosec³θ

Now we have to determine the slope.

Slope = dy/dx

Slope = -cotθ

Now we have to determine the concavity.

Concavity = d²y/dx²

Concavity = -6cosec³θ

To learn more about concavity link is here

brainly.com/question/13320130

#SPJ4

Answer:

\(P(Red) = \frac{3}{20}\)

Step-by-step explanation:

Given

\(Red = 3\)

\(Trials = 20\)

Required

Determine the experimental probability of next marble being red

This is calculated as:

\(P(Red) = \frac{n(Red)}{Trials}\)

Substitute values for n(Red) and Trials

\(P(Red) = \frac{3}{20}\)

Answer:

34.9% of the data in a standard normal distribution lies between x = .09 and x = 1.2.

Step-by-step explanation:

We have to find the percentage of the data in a standard normal distribution that lies between X = 0.09 and X = 1.2.

As we know that the mean and the standard deviation of a standard normal distribution is 0 and 1 respectively.

The z-score probability distribution for the standard normal distribution is given by;

                          Z  =  \(\frac{X-\mu}{\sigma}\) = \(\frac{X-0}{1}\)  ~ Standard normal

Now, the percentage of the data in a standard normal distribution that lies between X = 0.09 and X = 1.2 is given by = P(0.09 < X < 1.2)

        P(0.09 < X < 1.2) = P(X < 1.2) - P(X \(\leq\) 0.09)

       P(X < 1.2) = P( \(\frac{X-0}{1}\) < \(\frac{1.2-0}{1}\) ) = P(Z < 1.2) = 0.8849

       P(X \(\leq\) 0.09) = P( \(\frac{X-0}{1}\) \(\leq\) \(\frac{0.09-0}{1}\) ) = P(Z \(\leq\) 0.09) = 0.5359

The above probabilities are calculated by looking at the value of z = 1.2 and x = 0.09 in the z table which has an area of 0.8849 and 0.5359 respectively.

Therefore, P(0.09 < X < 1.2) = 0.8849 - 0.5359 = 0.349.    

Answer:

{ x ∣ x > 1 } or x ∈ ( 1 , ∞ )

Step-by-step explanation:

2 x + 3 > 7

 ⇒ 2 x > 4

(subtract 3 from both sides)

2 x + 3 > 7

 ⇒ x > 2

(divide both sides by 2)

2 x + 9 > 11

 ⇒  2 x > 2

(subtract 9 from both sides)

2 x + 9 > 11

 ⇒ x > 1

(divide both sides by 2)

if an  x -value is greater than 2, it will automatically be greater than 1. Thus, the solution set for  2 x+ 3 > 7  is a subset of the one for  2 x + 9 >11 .That means, all we need to do here is list the solution set for  2 x + 9 > 11 , and we're done.

The solution set we need is simply "all  x  such that  x  is greater than 1", or { x ∣ x > 1 }

or

x ∈ ( 1 , ∞ )

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

for such more question on combinations

https://brainly.com/question/28065038

#SPJ8

The distance traveled by the driver during her reaction time based on her speed was 44 feet.

find the speed in feet per second to be:

= (40 x 5,280 feet per hour) / Number of seconds in an hour

= 211,200 / 3,600

= 58.67 feet per second

With a reaction speed of 3/4 seconds, the distance traveled is:

= 58.67 x 3/4

= 44 feet

Full question is:

The driver of a car traveling at a speed of 40 miles per hour had to stop the car quickly. Using the driver's speed in feet per second, how far did her car travel during her reaction time of 3/4 of a second?Round your answer to two decimal places

Find out more on reaction time at https://brainly.com/question/6167212.

#SPJ1

Answer:

b

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

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

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (4, 13)

m = \(\frac{13-1}{4-(-2)}\) = \(\frac{12}{4+2}\) = \(\frac{12}{6}\) = 2

Using the point (- 2, 1 )

y - 1 = 2(x - (- 2)) , that is

y - 1 = 2(x + 2) → b

Using the point (4, 13)

y - 13 = 2(x - 4) ← not one of the options

The solution of the inequality 15n>8n-21 is given by, n<-3.

Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.

Given that the inequality is 15n<8n-21

Solving the inequality we have,

15n<8n-21

15n-8n<8n-21-8n, subtracting from both sides

7n<-21

n<-3, dividing 7 from both sides

So the solution of the given inequality is, n<-3.

To know more about Inequality refer to:

https://brainly.com/question/24372553

#SPJ1

The annual interest is $22.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Given;

Amount invested= $550

Annual interest= 4%

SI= 550*4*1/100

=5.5*4

=22

Therefore, the simple interest will be $22.

Learn more about simple interest here;

https://brainly.com/question/1548909

#SPJ1

Answer:

x = 5

y = -1

Step-by-step explanation:

x + 4y = 1

3x + 5y = 10

-------

x = 1 - 4y ----->  3(1-4y) + 5y = 10 ------> 3 - 12y + 5y = 10 ----> - 12y+5y = 10 - 3

(-1)(- 12y+5y) = (10-3)(-1) -----> 12y-5y = -10+3 -----> 7y = - 7 ----> y = -7/7 = -1

y = -1  ----> x = 1 - 4y = 1 - 4(-1) = 1+4 = 5------> x = 5

A box-and-whisker plot which represent the given data set is shown in the image attached below.

The five-number summary for the given data set have been listed correctly below.

In Mathematics, a box-and-whisker plot is sometimes referred to as a box plot and it can be defined as a type of chart that is used for the graphical or visual representation of the five-number summary of a data set with respect to locality, skewness, and spread.

By using an online box-and-whisker plot calculator, the five-number summary for the given data set include the following:

By critically observing the box-and-whisker plots (see attachment), we can logically deduce that all of the five-number summary for the given data set are correctly listed.

Read more on box plot here: brainly.com/question/14277132

#SPJ1

Answer: The correct formula for the sequence -1, -5, -9, ... is an = -4 + (-1) n - 1). This formula uses the common difference of -4 and the first term of -1 to calculate the value of the nth term in the sequence.

Answer:

Doesn't 2+7 = 9 itself?

Step-by-step explanation:

The dollar value of total revenue at each price is $\(0\), $\(10\), $\(12\), $\(12\), $\(10\), and $\(6\). Total revenue will be the greatest at a price of $\(4\), with \(3\) units sold.

To find the dollar value of total revenue at each price, we can multiply the price by the corresponding quantity in the demand schedule:

Price: $\(6\)

Quantity: \(0\)

Total Revenue: $\(6 \times 0\) = $\(0\)

Price: $\(5\)

Quantity: \(2\)

Total Revenue: $\(5 \times 2\) = $\(10\)

Price: $\(4\)

Quantity: \(3\)

Total Revenue: $\(4 \times 3\) = $\(12\)

Price: $\(3\)

Quantity: \(4\)

Total Revenue: $\(3 \times 4\) = $\(12\)

Price: $\(2\)

Quantity: \(5\)

Total Revenue: $\(2 \times 5\) = $\(10\)

Price: $\(1\)

Quantity: \(6\)

Total Revenue: $\(1 \times 6\) = $\(6\)

To determine at which price the total revenue will be the greatest, we observe that the highest total revenue occurs at the price with the highest quantity sold. In this case, the price with the highest quantity is $\(3\), and the corresponding quantity sold is \(4\) units.

Therefore, at a price of $\(3\), the total revenue will be the greatest, with \(4\) units sold.

For more such questions on revenue:

https://brainly.com/question/25102079

#SPJ8

Answer:

The HCF of two or more numbers is the highest common factor of the given numbers. It is found by multiplying the common prime factors of the given numbers.

To get the Least Common Multiple (LCM) of 1820 and 3510 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:

1820: 2 2 5 7 13

3510: 2 3 3 3 5 13

LCM: 2 2 3 3 3 5 7 13

The Least Common Multiple (LCM) is: 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 = 49140

Answer:

where is the scale

Step-by-step explanation:

where is the scale

Answer:

What does the scale look like?

Edyer, this is the solution:

Step 1: Let's simplify the equation given, as follows:

y - 1 = 2/3 (x - 3)

Solving the parenthesis:

y - 1 = 2x/3 - 2

Adding 1 at both sides:

y - 1 + 1 = 2x/3 - 2 + 1

y = 2x/3 - 1

Step 2: Let's graph the simplified form of the equation we calculated on Step 1.

• Slope = 2/3

• y-intercept = (0, -1)

• x-intercept = (3/2, 0)

Step 3: Let's look for the match with the graph we did on Step 2:

This is the correct answer:

The image that results from the dilation transformation is as shown in the attached file with coordinates as:

G'(0, -8)

H'(8, 0)

I'(-8, 4)

A dilation is defined as a transformation that produces an image that is the same shape as the original, but is a different size.

The coordinates of the given triangle are:

G(0, -2)

H(2, 0)

I(-2, 1)

Now, when an object with coordinates is dilated by a factor about the origin, what we will do is to multiply each coordinate by that factor . The factor of dilation is 4 and as such we have:

G(0, -2) * 4 = G'(0, -8)

H(2, 0) * 4 = H'(8, 0)

I(-2, 1) * 4 = I'(-8, 4)

Read more about dilation transformation at: https://brainly.com/question/3457976

#SPJ1

Answer:

Step-by-step explanation:

This is a composite function, in which we will first evaluate the s function at a value of 2, then we will use that value in the t function.

s(2) = 5(2)+ 5 so

s(2) = 15. Now we evaluate the t function at 15:

t(15) = 3(15) + 4 so

t(15) = 49