Find the equation of the line with Slope = −3-3 and passing through (2,−13)(2,-13) . Write your equation in the form y=mx+by=mx+b .

Answer:

Step-by-step explanation:

Comment

The question is since f(x) really means y, then when y = 9 what's x?

Solution

y = 2x - 4

y = 9

9 = 2x - 4                Add 4 to both sides

9+4 = 2x                 Combine

13 = 2x                    Divide both sides by 2

13/2 = 2x/2              

6.5 = x

Do you mean what is f(X) when x is 3. f(3) = 2x - 4. So what is y when x = 3

y = 2x - 4                   Substitute 3 for x

y = 2*3 - 4                  Combine

y = 6 - 4

y = 2

Let that number be variable x

MATHEMATICALLY THE STATEMENT IS SAYING

[tex]8x + 3 = 19 \\ 8x = 19 - 3 \\ 8x = 16 \\ \frac{8x}{8} = \frac{16}{8} \\ x = 2 [/tex]

ATTACHED IS THE SOLUTION

ANSWER

x = 10

EXPLANATION

We want to find the missing box in the statement given.

Let the box be represented by x:

To solve this, move (-7) to the other side, the sign changes:

The box is 10.

54

Explanation

to figure out this, just replace the given values and evaluate

Step 1

let

r=63

s=9

now, replace

so, the answer is 54

the probability of both is the one they share

SOLUTION

This becomes

Hence the answer is option D

Correct answer is C, For the given figure, ∠2 = ∠3, as they are corresponding angles of parallel lines.

The angles created when a transversal intersects two parallel lines are known as corresponding angles.

Typical examples of equivalent angles include opening and closing a lunchbox, resolving a Rubik's cube, and endless parallel railroad tracks.

Two congruent or identical triangles' corresponding angles are those of a congruent pair of their sides in a triangle. As a result, these angles are equivalent or have the same value.

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Complete Question -

In the figure, lines a and b are intersected by line t. Which of these statements proves that lines a and

b are parallel?

Answer: [tex]y=-2x+3[/tex]

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocal slopes, so the slope of the line we want to find is -2.

The y-intercept is given to be 3, so the equation is [tex]y=-2x+3[/tex].

Answer:

  (c)  corresponding angles

Step-by-step explanation:

You want to know the description of the marked angles in the given diagram.

Interior angles are between the "parallel" lines. Angle 5 is interior, but angle 1 is not, so they cannot be described as interior angles.

Exterior angles are both outside the "parallel" lines. Angle 1 is exterior, but angle 5 is not, so they cannot be described as exterior angles.

Corresponding angles are both in the same direction from the point of intersection of the "parallel" lines with the transversal. Here, both angles 1 and 5 are "northwest" of the intersection point, so are corresponding angles.

Alternate angles are on opposite sides of the transversal. Consecutive, or same-side, angles are on the same side of the transversal. Angles 1 and 5 are not alternate angles, as they are both on the same side of the transversal.

The numbers written in correct scientific notation format are-

7 x 10⁻⁹

3 x 10⁻⁶

0.1 x 10⁻⁸

Scientific notation is a techniques of writing a large number or small number in a simple form. It involves expressing a number by the multiplication of 10 raise to the specific exponent.

Given are the set of numbers.

In order to classify the given numbers based on the correct syntax of scientific notation, it is necessary to understand the rules for writing the correct syntax.

Based on the above rules, we can classify the correct scientific notation as -

7 x 10⁻⁹

3 x 10⁻⁶

0.1 x 10⁻⁸

Therefore, the numbers written in correct scientific notation format are-

7 x 10⁻⁹

3 x 10⁻⁶

0.1 x 10⁻⁸

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The given information is:

- Tim needs to be at work at 8:00 A.M.

- He needs 30 minutes to get ready in the morning

- It takes him 15 minutes to drive to the work

The total time Tim needs to get ready and drive to work is:

So, he needs at least 45 minutes to be on time at work. So, the latest time Tim can get up in the morning is 45 minutes earlier than 8:00 A.M., and it is equal to:

The answer is 7:15 A.M.

Answer:

Nick = 13 years old.

Step-by-step explanation:

Define the variables:

Given:

Create a system of equations with the given information and defined variables:

[tex]\begin{cases} w=n-5\\n+w=21\end{cases}[/tex]

Substitute the first equation into the second equation and solve for n:

[tex]\implies n+(n-5)=21[/tex]

[tex]\implies 2n-5=21[/tex]

[tex]\implies 2n-5+5=21+5[/tex]

[tex]\implies 2n=26[/tex]

[tex]\implies 2n \div 2=26 \div 2[/tex]

[tex]\implies n=13[/tex]

Therefore, Nick is 13 years old.

To find the age of Will, simply substitute the found value of n into the first equation and solve for w:

[tex]\implies w=13-5[/tex]

[tex]\implies w=8[/tex]

Therefore, Will is 8 years old.

Answer:

b. $0.21

Step-by-step explanation:

(7·49.95 + 162.38)/2465 = 0.2077

we have

m=-2

point (1,2)

step 1

find the equation of the line in point slope form

y-3=-2(x-1)

convert to slope intercept form

y-3=-2x+2

y=-2x+2+3

y=-2x+5

To graph the line we need two points

Find the y-intercept (value of y when the value of x is equal to zero)

For x=0

y=5

so

the y-intercept is (0,5)

Find the x-intercept

Value of x when the value of y is equal to zero

For y=0

0=-2x+5

2x=5

x=2.5

the xintercept is (2.5,0)

Plot the points (0,5) and (2.5,0), join them and graph the line

using a graphing tool

see the attached figure

please wait a minute

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define when a relation defines a function

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

The domain is the set of all first elements of the ordered pairs. The range on the other hand is the set of all second elements of the ordered pairs.

Since every x-values of the given relation is associated with only one y-value, therefore it defines a function.

The domain is given as:

The range is given as:

In carrying out the subtraction:

We observe that:

We observe that the student added two of the terms instead of subtracting. This was the error in the students' work.

Answer:

2

Step-by-step explanation:

A point that belongs to the solution region of this system of inequalities is (0, 4).

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments (symbols):

A graph refers a type of chart that's generally used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

In this scenario, a graph which represent the solution to the given system of inequalities is shown in the image attached below.

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For the ending account balances, these are the solution

a. The ending account if it is compounded monthly is $12,708.68

b. If it is compounded daily = $12712.374

c. If it is continuous = $12712.49

d. The graphs are in the attachment

e. The answers are not similar

This is the data that we can use to solve the problem

Principal = $10000

Time = 8 years

Rate = 3 percent

The ending balance when compounded monthly

= number of months n

= 12

A = P (1 + r/n)^nt

= 10000 (1 + 0.03/12)⁸*¹²

= 10000 (1.0025)⁹⁶

= 100000 X 1.270868

= 12,708.68

The amount that would be the ending account if it is compounded monthly is $12,708.68

b. If it is compounded daily

total number of days in a year n = 365

10000 (1 + 0.03/365)⁸*³⁶⁵

10000 x 1.2712374

= $12712.374

c. The endind account if the interest is compounding continuously

[tex]A = Pe^r^t\\\\A = 10000 *e ^0^.^0^3^*^8[/tex]

= $12712.49

e. The answers are not similar here due to the fact that all of the accounting periods that we used are not the same for the problems that we have here.

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Given the expression:

The answer = 3

The word problem for the given expression will be:

What is the 18 divided by 6?

You should jot down any new ideas you have while you revise.

Revision is the process of rearrangement, addition, or deletion of paragraphs, sentences, or words in writing. Writers are free to edit their work both during and after the writing process. Many of the techniques associated with editing are used in revision, but it can also require more significant changes to the goal, target audience, and content.

To ensure proper memorization, revise by reading or writing the material again. A must-do before each exam is revision. Additionally, it allows you to check for errors and reorganize your work.

During revision, you should write down additional thoughts.

The correct option is (c).

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Answer: Europe quit buying crops which left the united states with a surplus of crops

hope i helped

Step-by-step explanation:

Answer:

Explanation:

Step 1. The function we have is:

And we are asked to find the derivative of the function. The rule to find the derivative for this type of function is:

Step 2. Before we apply the derivative rule, remember the following:

This means that we need to derivate each part or term of the function and combine them for the total derivative.

Step 3. Apply the derivative rule from step 1 to the given function.

First we rewrite the function as follows:

Apply the derivative rule:

Step 4. The last step is to simplify the expression:

Answer:

Question : the function in the question is given below as

Step 1: Calculate the x-intercept

The x-intercept for any curve is the value of the x coordinate of the point where the graph cuts the x-axis, or we can say that the x-intercept is the value of the x coordinate of a point where the value of the y coordinate is equal to zero.

Equating the equation above to zero (0)

Solving using the quadratic formula below,

The general formula of a quadratic equation is given below

By comparing the coefficient, we will have the values to be

Step 2: Substitute the values into the quadratic formula to get the values of x

Hence,

The x-intercepts are

x-intercepts are (-6,0) and (4,0)

Step 3: Calculate the coordinate of the y-intercept

The point where a line or curve crosses the y-axis of a graph.

In other words: find the value when x equals 0

Hence,

The y-intercept is

The y-intercept is (0,-24)

Below is the graph of the function on the question with its x-intercepts and y-intercepts

Step 4: Determine if the graph is minimum or maximum

The first step is to determine whether your equation gives a maximum or minimum. This can be done by looking at the x^2 term. If this term is positive, the vertex point will be a minimum; if it is negative, the vertex will be a maximum.

The coefficient of the x^2 term is a positive 1

Hence,

The equation

is a minimum quadratic graph

The remainder theorem of polynomials states: if a polynomial p(x) is divided by a binomial (x - a), the remainder obtained is p(a).

In this case, the polynomial is:

Applying the remainder theorem p(-2) = -18, that is:

Given that (x - 1) is a factor, then p(1) = 0, that is:

Now, we have a system of 2 equations and 2 variables: m and n. Subtracting equation 2 to equation 1, we get:

-8m + n = -46

-

m + n = -1

------------------------

-9m = -45

m = (-45)/(-9)

m = 5

Substituting this result into equation 2, we get:

5 + n = -1

n = -1 - 5

n = -6

Given:

The number of people = 150,000,000.

The amount of water used in town = 310 × 109 cubic meters.

Required:

We need to find the amount of water (in cubic meters) used per person each year.

Explanation:

Substitute the number of people = 150,000,000 and the amount of water used in town = 310 × 109 cubic meters in the equation.

Final answer:

There is a mound of 2000 pounds of gravel in a quarry

Quantity of gravel added in the mound throughout the day = 400 pounds

Quantity of orders sold from the mound = 600*2 = 1200 pounds

Quantity of gravel left in the mound at the end of the day = 1200 pounds

Let g represent the pounds of gravel in the quarry

Formulating the equation we get the following:

Mounds of gravel in the quarry + Gravel added in the mound - Gravel sold from the mound = Gravel left at the end of the day

g + 400 - 600(2) = 1200

g + 400 - 1200 = 1200

g = 2000

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The problem can be expressed in the following system of linear equations:

A total of 120 adults (a) and students (s) attended a school:

a + s = 120

Each adult paid $2.50, mathematically, that is 2.5a

Each student paid $1, mathematically, that is 1s

and the total paid by adults and students attending the game was $189

then, we have:

2.5a + 1s = 189

then, we can conclude that the problem can be expressed as follows:

a + s = 120

2.5a + 1s = 189

or equivalently:

a + s = 120

2.5a + s = 189

so, the correct answer is D.

Answer:

3/4 inches

Explanation:

The most number of cross symbols (vertical line) is on the length 6/8 inches, that is, 3/4 inches.

So, the most common button is of length 3/4 inches.