Question 4 5 points)Part 1: Find the median of the Science Midterm Exam Scores (2 points)Part 2: Explain how you found the median of the Science Midterm Exam Scores. Be sure to explain the process you used to identity at themedian is. (3 points)

The inverse of the function is f⁻¹(x) = x/4 - 2/9

The given function is :

f(x)= 8/9+4x

This can be written in the form of an equation such as

y = 8/9+4x

Now we have to find the value of x in terms of y

4x = y - 8 / 9

or, x = y/4 - 2/9

When a code is formed, the domain and its codomain are sometimes not clearly given, and without doing a calculation, one may just be aware that such a domain is a part of a bigger set.

A function from X to Y" often refers to an action that may accept a sufficient subset of X as its domain in mathematical analysis. A "function as from reals here to reals" might be used to explain the function of a valid real variable, for example.

Instead of the entire set of real numbers, a "function out from reals to the reals" refers to a group of real numbers with a non-empty open interval. This kind of job is

Hence the inverse of the function is given by f⁻¹(x) = x/4 - 2/9

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B. When are the y-values the same? When are they

different?

Since there are absolute values, and the y =|x| and y =x will be the same when the values of x are positive and they're going to be different when the values for x are negative ones.

Like this:

y =x | y = |x|

3 y =3

-3 3

Set x and y to be the number of cupcakes and cookies, respectively.

Therefore, according to the question,

Solving for x,

First find the equation of the line whose slope is -5 and passes through (-2, 6).

For y-intercept, substitute x = 0.

Thus, the y-intercept is -4.

The given function is,

f(x) = x- 5

The transferred equation is,

g(x) = -6x + 2

So the transformation is,

Answer:

See below for graph

Explanation:

Given the slope-intercept equation:

To graph it, first, we find the x and y-intercepts.

When x=0

We have the point (0,4).

When y=0

We have the point (12,0).

We then draw a line joining points (0,4) and (12,0).

Solution:

Given:

Let L be the longer side of the mega flag.

Another company produces a similar flag of 48' x L

Since both flags are similar, then the ratio of the corresponding sides is equal.

Hence,

Therefore, the length of the longer side of the mega flag is 80'

The holly records a temperature at 15 below zero

This implies that the temperature i

Question:

Solution:

Let the following equation:

this is equivalent to:

this is equivalent to:

this is equivalent to:

thus, we can conclude that

x= 3.

write the slope intercept form:

through: (-2, 3), perp. to x=0​

we know that

If the line is perpendicular to x=0 (y-axis), then we have a horizontal line

and the equation of a horizontal line (slope is equal to zero) is

For the given right triangle, one angle is 71 degree, and perpendicular side for angle 71 degree is x and base side is 5 cm.

Determine the measure of side x by using trigonometric ratio.

So value of x is 14.5 cm

Answer: 14.5

Answer:

Explanation:

We have the formula:

And we are given:

a_1 = -20

d = -4

Thus:

Answer:

D.

Step-by-step explanation:

It rained 1.925 inch in the month of may as the question said "It rained 3.5 inches in the month of April. It rained 45% less in the month of May".

In both the British imperial and American customary systems of measurement, the inch serves as a unit of length. It is equivalent to 1/12 of a foot or 1/36 of a yard. The definition of an inch during King Edward II's reign was "three dry, round grains of barley placed end to end lengthwise." The lengths of 12 poppyseeds combined have also been used at various times to define an inch. Since 1959, 2.54 cm has been the official definition of an inch. One inch is exactly equal to 2.54 cm in the metric system, according to the relationship between the two units. The prefix "in" can be used to denote inches. For instance, five feet ten inches could be written as five ft ten in or five feet ten inches.

Here,

45% of 3.5 inch=1.575 inch

Since it rained 45% less than 3.5 inch so,

3.5-1.575=1.975 inch

it rained 1.925 inch in the month of may.

According to the question, it rained 1.925 inches in the month of May "In April, there was 3.5 inches of rain. May saw a 45% decrease in rainfall ".

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We want the equation of the line through the points (1, -4) and (-2, 5)

So we start by finding the slope of the segment that joins those two points using the formula for slope:

slope = (y2 - y1) / (x2 - x1)

slope = (5 - -4) / (-2 - 1) = 9 / (-3) = -3

Then the slope is -3

Now we use the general slope-intercept form of a line:

y = m x + b

with m = -3

y = -3 x + b

and request one of the points to be on the line in order to determine "b"

-4 = -3 (1) + b

- 4 = -3 + b

add 3 to both sides to isolate b on the right

- 4 + 3 = b

then b = -1

Then the equation of the line is:

y = -3 x - 1

SOLUTION

From the diagram, we can see that Scatter Plot is NON- LINEAR.

Given:

A table represents the height and the shoe size of seven students

We will rewrite the information from the table as a list of ordered pairs in the form of (height, shoes size).

So, the order pairs will be as follows:

A mapping diagram:

The table could be represented by the relationship as shown in the following figure:

x = ? , 5 , 9 , 4

y= 0, ? , 1 , ?

To find the missing x value, replace the matching value of y (0) in the equation and solve for x:

0 = x^2-12x +36

Apply the quadratic formula

For x = 5:

y= (5)^2-12 (5) +36 = 25-60+36 = 1

For y=1

1 =x^2-12x+36

0 = x^2-12x+36-1

0= x^2-12x+35

x =7

For x=9

y= (9)^2-12 (9)+36 = 81-108+36=9

For x=4

y= (4)^2-12(4)+35 = 16-48+36=4

the zeros are

x=-1.5 -----> multiplicity 1

x=0

x=2 ----> multiplicity 2

possible function

y=-x(x+1.5)(x+2)^2 -----> leading coefficient must be negative

ANSWER:

B. 0.45

STEP-BY-STEP EXPLANATION:

We have the following equation:

We solve for x:

The value of x is 0.45

Answer:

about 71minutes

Explanation:

If it takes Anastasia 50 minutes to walk 3 1/2 miles to the park, then;

50 minutes = 3.5 miles

To get the time taken for her to walk 5miles;

x = 5miles

Divide both expressions

50/x = 3.5/5

Cross multiply

3.5x = 50*5

3.5x = 250

x = 250/3.5

x = 71.42miles

Hence it will take her about 71minutes to walk 5miles

Given the Quadratic Equation:

You need to remember that the Zero Product Property states that if:

Then:

In this case, you can factor the given equation by finding two numbers whose sum is -9 and whose product is -36. These numbers are 3 and -12. Then:

Based on the Zero Product Property, you know that:

Then, by solving each part by "x", you get:

Hence, the answer is:

Check the picture below.

usign the pythagorean theorem let's find the side CD, then let's get the side AC using the same pythagorean threorem.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - b^2}=a \qquad \begin{cases} c=\stackrel{hypotenuse}{16}\\ a=\stackrel{adjacent}{CD}\\ b=\stackrel{opposite}{7}\\ \end{cases} \\\\\\ \sqrt{16^2 - 7^2}=CD\implies \sqrt{207}=CD \\\\[-0.35em] ~\dotfill[/tex]

[tex]c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{AC}\\ a=\stackrel{adjacent}{CD}\\ b=\stackrel{opposite}{11}\\ \end{cases} \\\\\\ AC=\sqrt{(\sqrt{207})^2~~ + ~~11^2}\implies AC=\sqrt{207 + 121}\implies \boxed{AC\approx 18.1}[/tex]

The x-intercept is the point where the curve (line) cuts the x-axis.

Looking at the graph, the x-intercept is at x = 2.

In coordinates, it is

(2,0)

Correct Answer is B

Probability is expressed as

number of favorable outcomes/number of total outcomes

But probability can also be classified as theoretical probability and experimental probability. The theoretical probability is the normal probability of each outcome while the expreimental probability is the probability of an outcome given that trials have been made.

In this scenario,

total number of trials = 400 + 195 + 405 = 1000

favorable outcomes = number of times that we landed on yellow = 405

the experimental probability of landing on yellow is

405/1000 = 0.405

The given function is:

So the expression is evaluated as follows:

So the value of the expression is 2.

To be able to verify the statement, let's first recall the formula in getting the area of a rectangle:

Solution

For this case we know that

m m < DBC = 3x+2

So then we can do the following:

4x -5 = 3x+2

4x-3x = 5+2= 7

x = 7

It is important to know that the sample would be the starters and the population is all members.

So, let's use the mean formula to find the mean sample

Where n = 21.

Now, we have to add all the heights of the starter players.

Then, we divide

Now, let's find the population mean using all team data instead

Where N = 35. Let's do the same process.