​(d) Find the domain of function R. Choose the correct domain below.

Given: An equation where

To Determine: the nature of the solution of the equation

Solution

Nature of solution: The example below relates to the nature of solution

Hence, the equation has no solution

The equation of the line perpendicular to the given equation is;

Option C is the correct answer

Here, we want to select which of the equations in the option is perpendicular to the given equation

Firstly, we need to understand that for two equations to be perpendicular, then the product of their slopes must be equal to -1

Before we proceed to compare, we need to write the equation in the general form

The equation of the line written in the general form will be;

where m represents the slope and the term b represents the y-intercept

Now, let us proceed to write the equation in the standard form;

We have this as;

Compared with the general form, we can see that the slope of this line is -2/3

Now let us get the slope of the line that would be perpendicular to it;

Now, the equation perpendicular to what was given will have a slope of 3/2

Fortunately, all the options in the question have been written in the general form

The one with a slope of 3/2 is option C

The probability of a candy when randomly taken is purple or not red is 0.235

Given,

Number of red candies in the bag = 42

Number of green candies in the bag = 42

Number of yellow candies in the bag = 20

Number of purple candies in the bag = 32

We have to find the probability of a candy when randomly taken is purple or not red.

Probability, P(E) = Number of favorable outcomes / Total number of favorable outcomes

Here,

Number of favorable outcomes = 32

Total number of favorable outcomes = 42 + 42 + 20 + 32 = 136

So,

P(E) = 32/136 = 0.235

That is,

The probability of a candy when randomly taken is purple or not red is 0.235

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Answer:

f(x) = -∞ as x → ±∞

Explanation:

The given function is

f(x) = -x² - 4

To know the end behavior, let's replace x by a greater number and by a smaller number, so

If x = 100

f(x) = -100² - 4

f(x) = -10000 - 4

f(x) = -10004

If x = -100

f(x) = -(-100)² - 4

f(x) = -10000 - 4

f(x) = -10004

So, we can see that no matter if x is negative or positive, the value of f(x) will be positive. Then, we can say that the end behavior is

f(x) = -∞ as x → ±∞

Based on the number of jumping jacks that Robbie can do in 60 seconds, the number of seconds it will take to do 14 jumping jacks is 24 seconds

To find the number of seconds that it takes Robbie to do 14 jumping jacks, find the number of seconds it takes to do a single jumping jack.

The number of seconds to do a single jumping jack is:

= 60 / 35

= 1.71 seconds

If 14 jumping jacks are to be done then the number of seconds would be:

= 1.71 x 14

= 24 seconds

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We will have the following:

x f(x) = 4^x function(x,f(x)) inverse(f(x),x)

0 1 (0, 1) (1, 0)

1 4 (1, 4) (4, 0)

-1 1/4 (-1, 1/4) (1/4, -1)

2 16 (2, 16) (16, 2)

-2 1/16 (-2, 1/16) (1/16, -2)

Answer:

columns in order of 0/1/-1/2/-2

Step-by-step explanation:

g, h and s

e, a and b

d, q and r

k, f and c

m, l and n

Answer:

286

Step-by-step explanation:

there are 365 in a year

365-79

286

Givens.

• The amount borrowed was $100,000.

• The time elapsed is 9 months.

• The annual interest rate of 4%.

The simple interest formula is

Where P = 100,000, R = 0.04, and T = 9/12.

the answer would be 3,000

SOLUTION

(a) The function given is the distance graph. The velocity fuction is the derivative of the distance function. This becomes

the graph is shown below

From the velocity graph above, the function is moving in a positive direction from 1 second and beyond

(b) The diagram of motion of the object is shown in the distance graph below

The total distance travelled is the integral of the velocity function from 0 to 6 as shown below

Hence the answer is 1272 m

Vetical angles are on opposite sides of the intersection of two lines, in this case, when lines c and b intersect, <7 and <9 are formed, these angles are vertical and m<7 = m<9, then:

m<7 = 105°

Answer:

less

Step-by-step explanation:

negative numbers are less than positive numbers

[tex]-\frac{2}{3} < \frac{3}{4}[/tex]

Hope this helps

Given the relation:

The range of the relation can be thought of as the set of y-coordinates of a point (x, y). That is, as every second number of the ordered pairs. Additionally, the set should be ordered, and should not contain repeated values. This set is:

Statement Problem: The perimeter of a triangle is 19 inches. One side measures 7 inches. Another side is 5 inches long.

Find the length of the third side c.

Solution:

Thus, the perimeter of a triangle with lengths a, b and c is;

Thus, we have;

Thus, the length of the third side is 7inches

From the graph we can infer that the general trend for the unadjusted federal minimum wage has been an increase.

To find the image we have to multiply every coordinate by the scale factor.

Then:

We are given that an inch is approximately 1.57828x10⁻⁵ mile.

The reciprocal of this number will give us the number of inches in a mile.

Therefore, a mile is approximately 63360 inches.

The following statement: A "natural monopoly" is a market that runs very inefficiently when one large firm provides all of the output is false.

A natural monopoly is a sort of monopoly that emerges because of the high start-up costs or substantial economies of scale associated with conducting business in a certain industry, which can result in large barriers to entry for potential rivals.

Natural monopolies can form in sectors that require specialized raw resources, technology, or other variables to function. Natural monopolies can also occur when one business is far more efficient than several enterprises in providing the market with the item or service.

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The equation that represents the total cost is C = $400 + $125p .

The equation that represents the total cost is a function of the fixed cost and the variable cost. The fixed cost remains constant regardless of the level of output. The variable cost changes with the level of output.

Total cost = fixed cost + total variable cost

Total cost = fixed cost + (variable cost x total output)

C = $400 + ($125 x p)

C = $400 + $125p

Total cost when 0 phones are made =  $400 + $125(0) = $400

Total cost when 1 phone are made =  $400 + $125(1) = $525

Total cost when 2 phones are made =  $400 + $125(2) = $650

Total cost when 3 phones are made =  $400 + $125(3) = $775

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To know the length of the railing from point A to point B you can use Pythagoras Theorem.

You draw a right triangle:

You use the given information to know the measure of the legs in the triangle:

You can see that the value of x is the height of 5 steps: 5(7.5 in).

Then:

The B is equal to the lenght of 10 steps: 10(9.5in):

Then:

You have the next triangle:

You use the Pythagoras Theorem to find the h:

The deposit slip would look like this:

we have that the currency is 120 dimes = $1.2 and 25 quarters = $6.25.

If the point (4, -1) is a point on the graph of f, then f(4) = -1

First blank = 4

second blank = -1

The given point: (4, -1)

From the point: the coordinate tells us x = 4, y = -1

For a graph of function f, f(x) is the same as y

To represent the point (4, -1) as a funtion of x (that is f(x)), we will replace x in f(x) with the value of the x coordinate. The result when we replace it will the value of the y coordinate

when x = 4

f(4) = the value of the y coordinate

f(4) = -1

To complete the blanks:

If the point (4, -1) is a point on the graph of f, then f(4) = -1

First blank = 4

second blank = -1

The expression in the simplest form is -9x/10 + (5).

Simplify simply means making something easier to understand. Simply or simplification in mathematics refers to reducing an expression / fraction / problem to a simpler form. It simplifies the problem by calculating and solving it.

We can —

For the given equation;

= (-3x/5 - 7) - (-12 + 3x/10)

open the parenthesis;

= -3x/5 - 7 + 12 - 3x/10

Bring the variable part together.

= -3x/5 - 3x/10 - 7 + 12

Add variables and constant separately.

= -9x/10 + 5

Thus, the simplest form of the given expression is found as  -9x/10 + 5.

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The relation between the function is X cannot repeat itself.

We have given that,

functions table

We have to determine which relation is a function.

What is the function?

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

The relation between the function is

X cannot repeat itself

Therefore option C is correct.

Complete question: Determine which of the following relations is a function [see in attachment]

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Given:

1 yard = 3 feet

1 meter = 100 cm

Nicholas walked 20 yards to get his mail.

Here, we are required to convert 20 yards to meters.

Where,

1 yard = 0.9144 meter

20 yards = x meters

thus, we have:

Therefore, Nicholas walked 18.29 meters to get to his mail.

ANSWER:

18.29 meters

Step 1

Given; Identify the inequality or equality that describes the following situation. David drives over 9 miles per hour in the mall parking lot.

Step 2

Let x represent miles

y represents hours

Thus the inequality will be;

Answer; The required inequality is > or greater than because he drives over 9mph which means > 9mph

In order to plot a set of coordinates on a graph page, you would need to take account of every pair of x and y values provided. The line that goes horizontally is the x-axis (from left to right). All the negative values move from point zero (the origin).

The ordered pair, or the coordinates tells you where x and y intersect. For example, the first set of coordinates are (2, 9). That means, when x is 2, then y is 9.

Observe that x equals 2 on the right side of the horizontal axis. Next, you look for the spot where y equals 9.

Next step, you carefully trace the spot where x is 2, and trace it up a straight line and at the point where y equals 9 (at the upper part of the y axis), you put a tiny "X" to mark the spot where both values intersect.

Notice that while tracing from x, you move upwards, and while tracing from y, you move towards the right. That point defines the coordinates (2, 9) which is the first line on your table.

You follow a similar step for every one of the other coordinates, which are;

Please note that I've just attached the same graph, but this time I've labelled the points one by one.

This should help with reading the coordinates at every point.

The perimeter of the figure is 22.4 cm, and The area of the figure is 30.2cm²

The Pythagorean theorem, or Pythagorean theorem, explains the relationship between the three sides of a right-angled triangle. The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle, according to Pythagoras' theorem.

From the diagram, the formation is a rectangle.

Use the coordinate points to find the measurements of each side.

Side length AD = Side length BC

Apply the Pythagoras connection to find length BC as;

a² + b²= c² where a=2 cm and b = 4 cm and c =BC

2² + 4² = c²

4+16 = c²

20 = c²

c= √20 = 4.4721

Length BC = Length AD = 4.5 cm

Side length AB = Side length DC

Apply the Pythagoras connection to find the length DC as;

a² + b²= c² where a=6 cm and b = 3 cm and c =DC

6² + 3² =c²

36 + 9 = c²

45 = c²

√45 = c

c= 6.7082

c = DC = 6.7 cm

Now you have the dimensions of the rectangle as;

Length = 6.7 cm and width = 4.5 cm

The perimeter will be ;

P= 2{l +w} --------- where l is length and w is width and P is the perimeter of the rectangle

P=2{6.7 + 4.5}

P=2{11.2}

P= 22.4 cm

The area will be ;

A= l*w

A= 6.7 * 4.5 = 30.15 = 30.2 cm²

The perimeter of the figure is: 22.4 cm

The area of the figure is: 30.2 cm²

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Given the following function:

notice that the transformation:

can be written like this:

first, the +2 means that the graph moves 2 units left, and the +5 makes the graph move 5 units up.

We need to determine if the statements are true or false.

In order to do so, we need to pay attention to the following notations:

The same notations apply to cosine and tangent functions.

The inverse f⁻¹(x) is the function such that:

Thus, we have:

Therefore, statement g. is true.

In order to show that statements f. and h. are false, let's see what happens for x = 1/2:

Answer:

f. False

g. True

h. False

Notice that we can correct the statements f. and h. by using the correct notation: