What’s the difference between -4 and 6

Step-by-step explanation:

9y - 5 + 9y - 1 = 9y + 9y - 5 - 1

= (9 + 9)y - 6

= 18y - 6

Answer:

A

Step-by-step explanation:

The last number represents where the line meets y-axis

Answer:

Step-by-step explanation:

What is answer to X/2 - X/5 = 3

x/2 - x/5 = 3

(3/10)x = 3

x = 3 : 3/10

x = 3 * 10/3

x = 10

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

check

10/2 - 10/5 = 3

3 = 3

the answer is good

Answer:

3

Step-by-step explanation:

The equation of a line perpendicular to the line is y = (-1/2)x - 9

Slope of the line perpendicular to y = 2x - 1, m =-1/2;

Therefore, equation of line perpendicular to given line in slope- intercept form is; y = (-1/2) x + c;

This line passes through (-8, -5); therefore;

-5 = (-1/2)(-8) + c;

c = -9;

Therefore, equation of required line is y = (-1/2)x - 9;

Perpendicular lines are two non-vertical lines in the same plane that intersect at a right angle. Horizontal and vertical lines are perpendicular to one other, forming the coordinate plane's axes. Negative reciprocals are the slopes of two perpendicular lines.

Vertical and horizontal lines are parallel to each other. In this scenario, the slope of the perpendicular line is equal to the slope of a horizontal line, which is 0. The slope of the parallel line is 0 while the slope of the perpendicular line is unknown.

To learn more about perpendicular line ; visit: https://brainly.com/question/18271653

#SPJ9

In the garage 33.33 percentage of work were MOTS.

Percentage is defined as per-cent, that is out of hundred. The percentage is calculated by dividing the acquired value by the total value and multiplying the result by 100.

Now in the given problem,

Total number of vehicles on which Keith worked is 105.

The number of MOTS among the 105 is 35.

Now we have to calculate the percentage of the MOTS out of a total 105 vehicles.

Let us use the formula=(number of MOTS ÷ total vehicles)×100

Therefore required percentage=[tex]\frac{35}{105}\times 100\%[/tex]

or, percentage=33.333...%

Therefore we can conclude that the total percentage of MOTS were approximately 33.33%(rounded to 2 decimal places).

To learn more about percentage:

https://brainly.com/question/24304697

#SPJ9

Answer:

practice to do your self

Using translation concepts, we have that the table of values for the function p(x) = x - 7 is given by:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the parent function is:

y = f(x).

A translation down 7 units is represented by a subtraction by 7 in the range, that is:

p(x) = f(x) - 7 = x - 7.

The numeric values to be inserted in the table are given by:

In the graph at the end of the exercise, both functions are shown.

More can be learned about translation concepts at https://brainly.com/question/28416763

#SPJ1

Answer: y=3x-6

Step-by-step explanation:

ANSWER:y=1/(3x-6)

Step-by-step explanation:

i think you are asking for the change of subject of formula(Transposition of subjects).

x=1/3y+2

multiply both sides by 3y

x × 3y=1/3y × 3y + 2 × 3y

3xy=1+6y

collect like terms

3xy-6y=1

fractionalize

y(3x-6)=1

divide both sides by (3x-6)

y=1/(3x-6)

please rate as brainliest

Answer:

This article is about the basic inequality {\displaystyle z\leq x+y}{\displaystyle z\leq x+y}. For other inequalities associated with triangles, see List of triangle inequalities.

Three examples of the triangle inequality for triangles with sides of lengths x, y, z. The top example shows a case where z is much less than the sum x + y of the other two sides, and the bottom example shows a case where the side z is only slightly less than x + y.

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.[1][2] This statement permits the inclusion of degenerate triangles, but some authors, especially those writing about elementary geometry, will exclude this possibility, thus leaving out the possibility of equality.[3] If x, y, and z are the lengths of the sides of the triangle, with no side being greater than z, then the triangle inequality states that

{\displaystyle z\leq x+y,}z\leq x+y,

with equality only in the degenerate case of a triangle with zero area. In Euclidean geometry and some other geometries, the triangle inequality is a theorem about distances, and it is written using vectors and vector lengths (norms):

{\displaystyle \|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,}\|\mathbf {x} +\mathbf {y} \|\leq \|\mathbf {x} \|+\|\mathbf {y} \|,

Step-by-step explanation:

Answer:

by triangular inequality

Step-by-step explanation:

By solving a system of equations we can conclude that ross has a total of $200 in $5-notes.

Let's define the variables:

We know that there are 15 more $2-notes than $5-notes, then:

y = x + 15

And the total amount of $5-notes is $90 more than the total amount of $2-notes.

x*5 = 90 + y*2

Then we have a system of equations:

y = x + 15

x*5 = 90 + y*2

Replacing the first equation into the second one we get:

x*5 = 90 + (x + 15)*2

Now we can solve this for x:

x*5 = 90  + x*2 + 30

5*x - x*2 = 90 + 30

3*x = 120

x = 120/3 = 40

x = 40

In this way, we conclude that Ross has 40 of the $5-notes, then the total value is:

40*$5 = $200

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

The linear function of h is h(x) = -2x -13 and the values of h(3) = -19.

Two point form is a method for finding the equation of a function if two of its points are known. If (x1, y1) and (x2, y2) are the two points then equation of the function is given as-

(y - y1) = {(y1 - y2)/ (x1 - x2)} (x - x1)

Here, we are given that h(7) = -10 and h(-2) = 8

This, means that (7, -10) and (-2, 8) will satisfy the given function

Since, we have two points, we will use the two point form to find the equation of function h.

Substituting, x1 = 7, y1 = -10, x2 = -2 and y2 = 8 in the two point form equation we get-

( y - 7) = {(-10 - 8) / (7 + 2)} (x + 10)

y - 7 = (-18/9) (x + 10)

y - 7 = -2(x + 10)

y - 7 = -2x -20

y = -2x -20 + 7

y = -2x -13

Thus, h(x) = -2x -13

Hence, h(3) = -2(3) -13

= -6 -13

= -19

Therefore, h(3) = -19

Learn more about two point form here-

https://brainly.com/question/13763238

#SPJ9

Answer:

Your answer is n^3 + 4n^2 - 8n - 9

Hope this helps! <3

The circumference of a radius equals 6 inches is 37.68 inches

The radius is given as

r = 6 inches

The circumference of a circle is calculated as

C = 2pi r

So, we have

C = 2 * 3.14 * 6 inches

Evaluate the product

C = 37.68 inches

Hence, the circumference of a radius equals 6 inches is 37.68 inches

Read more about ccircumference at:

https://brainly.com/question/15673093

#SPJ1

Pedro requires [tex]1\frac{1}{2}[/tex] cups oatmeal for a single batch of granola bars as calculated by division of fractions.

A fraction is a piece of a whole or, to put it more broadly, any number of equal portions.

Total batches required [tex]= 3 \frac{1}{2} = \frac{7}{2} = \frac{14}{4}[/tex] cups

Total oatmeal required [tex]= 5 \frac{1}{4} =\frac{21}{4}[/tex] cups

Therefore now to calculate the amount of oatmeal needed for single

batch we divide the fraction [tex]\frac{21}{4}[/tex]  by  [tex]\frac{14}{4}[/tex] cups

1 batch requires = [tex]=\frac{21}{4}\div\frac{14}{4}=\frac{3}{2} = 1\frac{1}{2}[/tex] cups.

To learn more about fractions visit: https://brainly.com/question/10354322

#SPJ9

The height is 5.225 meters and the constant of variation will be 10.5

From the information, the BMI of a person who is 1.9 meters tall is 20.

Therefore, the constant of variation when the person has a weight of 55 kilograms will be:

= 20/1.9 = 10.5

The height will be:

= 1.9 × 55/20

= 1.9 × 2.75

= 5.225 meters.

Learn more about constant on:

brainly.com/question/1431682

#SPJ1

Answer:

Hello,

Step-by-step explanation:

[tex]1 < x\leq 5 \ \\\Longrightarrow\ 4 < 4x \leq 20 \ \\\Longrightarrow\ -1 < 4x-5 \leq 15 \\\Longrightarrow\ -1 < f(x) \leq 15 \\\\range=]-1; 15][/tex]

The range of the function f(x) = 4x - 5 will range from -1 to 15.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given that the function f(x) = 4x – 5 and the interval is  1 < x ≤ 5. The range will be calculated as,

1 < x ≤ 5

4 < 4x ≤ 20

4-5<4x - 5< 20-5

-1 < 4x - 5 < 15

Therefore, the range of the function f(x) = 4x - 5 will range from -1 to 15.

To know more about function and range follow

https://brainly.com/question/26098895

#SPJ2

Answer:

The third graph

Step-by-step explanation:

We can immediately eliminate the 1st and last graphs because they are decreasing, not increasing. It wouldn't make sense that the more classrooms there are, the fewer students. Y = 22x would be increasing in the graph.

Let's plug some x values into the equation first, to see where our points are at.

Plug 1 into x

Y = 22(1)

Y= 22

(1,22)

Plug 2 into x

Y = 22(2)

Y = 44

(2,44)

Plug 3 into x

Y = 22(3)

Y = 66

(3,66)

Plug 4 into x

Y = 22(4)

Y = 88

(4,88)

The second graph matches the coordinates, so it works, but it isn't a complete function graph. A function graph needs a line drawn through the points. The second graph isn't your answer.

Let's look at the third graph. The coordinates also match up with the graph and it has a line drawn through the points. It's an accurate function graph representing this scenario. Therefore, the third graph is your answer.

Have a lovely day! :)

Answer: the 2nd graph is what i got right on the test

Step-by-step explanation:

The solutions to the given equation are x = -1, x = 0 and x = 3

From the question, we are to determine the solution of the given equation.

The given equation is

x³ -2x² -3x = 0

The graph of the function y = x³ -2x² -3x is shown below

The solutions of the equation x³ -2x² -3x = 0 are the values where the graph cuts the x-axis

From the graph, we can observe that

The curve cuts the x-axis at x = -1, x = 0 and x = 3

Hence, the solutions to the given equation are x = -1, x = 0 and x = 3

Testing the solutions

For x = -1

x³ -2x² -3x = 0

(-1)³ -2(-1)² -3(-1) = 0

-1 -2(1) +3 = 0

-1 -2+3 = 0

-3+3 = 0

0 = 0

For x = 0

x³ -2x² -3x = 0

(0)³ -2(0)² -3(0) = 0

0 - 0 - 0 =0

0 = 0

For x = 3

x³ -2x² -3x = 0

(3)³ -2(3)² -3(3) = 0

27 -2(9) - 9 = 0

27 -18 - 9 = 0

0 = 0

Since, all the statements are true, then values are solutions of the equation.

Learn more on Graph of Cubic equations here: https://brainly.com/question/8878887

#SPj1

Explanation:

Place the decimal point between the first two digits to get 5.0

Then we must move the decimal point 4 spots to the right to get back to 50,000

So that's where the "4" comes in with the 10^4

This means 50,000 = 5 * 10^4 which is in scientific notation.

The answer in scientific notation is 5 times 10^4

The exponent of four tells you to multiply 10 by itself 4 times.

10 x 10 = 100 x 10 = 1000 x 10 = 10000

And 10000 times 5 is equal to 50,000.

Step-by-step explanation:

There are 3 terms. A term is either a single number or variable or numbers and variables multiplies together

Answer:

Step-by-step explanation:

there are 3 terms

Answer:

A. The expected value of playing the game is 0.25

B. She can expect in the long run to gain 0.25 dollars per draw.

Step-by-step explanation:

On 10 draws with each card drawn once....

Winnings: 2+4+6+8+10=30

Losses: 5(5.50)=27.50

She gains an average of $2.50 in each group of 10 games, or $0.25 per game.

If a high school student decides to apply four of six famous colleges, then the four colleges can be selected in as many as 15 different combinations.

As per question statement, a high school student decides to apply four of six famous colleges.

We are required to calculate the number of combinations in which the four colleges can be selected.

To solve this question, we need to know the formula of Combination which goes as [tex](nCr)=\frac{n!}{r!(n-r)!}[/tex]

, i.e., we are to select a set or "r" from a set of "n".

Here, we have to select a combination of 4 from a set of 6.

Therefore applying (nCr) formula with (n = 6) and (r = 4), we get,

[tex](6C4)=\frac{6!}{4!(6-4)!} =\frac{6!}{4!2!}=\frac{4!*5*6}{4!*2}=\frac{5*6}{2}=(5*3)=15[/tex].

To learn more about combinations, click on the link below.

brainly.com/question/8561440

#SPJ9

Answer:

121.496

Step-by-step explanation:

Columnar addition

Answer:

C.) Equally as distant.

Answer: (3, -1)

Step-by-step explanation:

y = |x-3|-1

When y=|x|, vertex is (0, 0).

Now, let's translate the graph so it becomes y = |x-3|-1.

|x| ==> |x-3|         Translate the graph 3 units to the right

Vertex: (0+3, 0) ==> (3, 0)

|x-3| ==> |x-3|-1     Translate the graph 1 unit down

Vertex: (3, 0-1) ==> (3, -1)

Vertex: (3, -1)