Find g(x), where g(x) is the translation 4 units up of f(x)=x.
Write your answer in the form mx+b, where m and b are integers.
g(x)=

The slope of the graph of the line is 40.

The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.

Taking any to points on the line point (5, 200) and (10, 400)

Slope = change in y-coordinates / change in x-coordinates

change in y-coordinate = 400 - 200 which is 200

change in x-coordinate = 10 - 5 = 5

slope = 200/5 which is 40

In conclusion the slope of the straight line graph is 40

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Revenue is a calculation or estimation of periodic profits primarily based totally on a particular popular accounting practice or the policies mounted via way of means of a central authority or authorities agency.

The required details for revenue in given paragraph.

What is revenue?

Revenue is simply the profit you earn from your business

Solution;

The number of positive revenues were generated is 6 years

The number of negative revenues were generated in 3 years

smallest revenues were in 2013

Largest revenue was generated in 2020

Actually we are just comparing the data from all previous years and we are also comparing the revenues from them so that we can analyze them and do accounting further

accordingly to multiply the revenues

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Answer: You are correct

Step-by-step explanation: You are correct with both answers because 9x + 7 and 7 + 9x will equal the same thing. Here's an example

X=3

9(3) + 7

27+ 7

34

7 + 9(3)

7+27

34

34=34

It only equals 34, no matter the order. So, it has one solution.

I hope this helps!

Answer:

Equivalent

Step-by-step explanation:

The expressions 9x+7 and 7+9x are equivalent .The equation has infinite many solutions

I think you're answer is right angle

Answer: When you solve the equations and work them out, you get the answer of $4000.

The approximate ordered pair for f(x) = g(x) is given as; (4, 22) from the graph. Option A

We know that there are two equations that can be shown from the set of equations that have been written here and the set of equations that we have are;

f(x) = −2x + 30

g(x) = 3x + 10

We are now trying to see the points at which the equation can be said to be equal. This refers to the point where  f(x) = g(x). How can we be able to obtain this point? If we are to get this point then we must go back and look at the graph very well.

As we are looking at the graph very well we should fix our eyes on any point where the line of two functions can be seen to intersect. Once that happens, we can say that we have reached the point where the two functions can be said to be equal. This point is read from the graph as (4, 22)

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Answer:

The First One and the last one

The value of x which will make the equation 8 + x = 32 true will be 24 thus, option (B) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

The equation must be constrained with some constraints.

As per the given equation,

8 + x = 32

Put x = 4

8 + 4 = 12 ≠ 32

Put x = 24

24 + 4 = 32 (so it will be the solution)

Hence "The value of x which will make the equation 8 + x = 32 true will be 24".

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The solution of the system of equations is (x, y) = (9/2, -7/10).

What is the system of linear equations?

A system of linear equations is a group of one or more linear equations that can be solved by using a simultaneous equation or elimination method. Therefore, by using the substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).

To solve a system of equations, we can use any of the following methods:
Substitution method,
Elimination method,
Matrix method.
Let's use the substitution method to solve the given system of equations.
We can solve the first equation for z:
z = 7 - 3x - 2y
Substituting this expression into the third equation, we get:
3x + 2y + 3(7 - 3x - 2y) = 1
This simplifies to:
-5x - 3y + 21 = 1
Adding 5x and 3y to both sides, we get:
21 = 5x + 3y + 1
Subtracting 1 from both sides, we get:
20 = 5x + 3y
Dividing both sides by 5, we get:
4 = x + 3/5 y
Substituting this expression into the first equation, we get:
3(x + 3/5 y) + 2y + 7 = 7
This simplifies to:
2y = -7/5
Dividing both sides by 2, we get:
y = -7/10
Substituting this value into the expression for x, we get:
x = 4 - 3/5(-7/10)
This simplifies to:
x = 4 + 21/10
x = 9/2

Hence, the solution of the system of equations is (x, y) = (9/2, -7/10).

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Using mathematical operations, we know that the total number of workers in the company is 3,800.

A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.

There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.

Parentheses, Exponents, Multiplication, Division, and Addition Subtraction are also known as PEMDAS (from left to right).

So, we know that 80% of all workers are women.

760 people who work for the company are not women.

Which means:
80% = x

20% = 760

Now, calculate the total workers as follows:

80/x = 20/760

20x = 80 * 760

x = 80 * 760/20

x = 3,040 (Women workers)

Total workers: 3040 + 760 = 3,800 workers

Therefore, using mathematical operations, we know that the total number of workers in the company is 3,800.

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The maximum miles that Emma can ride without exceeding her spending limit is 17.3 miles

What are Linear Inequalities?

A linear inequality is a mathematical inequality that incorporates a linear function. A linear inequality contains one of the inequality symbols. It depicts the data which is not equal in graph form.

The linear expression formed using the given description will be 2.75 + 0.65x

where x is the total number of miles

and the linear inequality formed will be 2.75 + 0.65x < 14

Refer to the graph below

So, the maximum miles that Emma can ride without exceeding her spending limit is 17.3 miles

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Answer:

The slope is 1/6.

Step-by-step explanation:

The slope of the given equation is -6. Perpendicular lines have negative reciprocal slopes.

The inequality expression is :16 + 8B ≥ 50

Least amount that could be spent = $4500

What is  inequality expression?

An algebraic inequality is a mathematical statement that uses the inequality sign to relate an expression to a value, a variable, or another expression. "Greater than" and "greater than or equal to" are two verbs that can be translated as inequalities.

need at least 50  total rooms.

Room already booked = 16  

Number of Blocks booked = B

Each Block = 8

8B  - Addition room Booked

Total room booked = 8B + 16

Total room booked  ≥   need at least 50  total rooms

8B  + 16  ≥ 50

=> 16 + 8B ≥ 50  , option B is correct

=> 8B ≥ 34

=> 4B ≥ 17

minimum B = 5

Cost = 900 * 5 = 4500 $

least amount of additional money Joe can spend to get the rooms they need in  dollars  = 4500  

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The equation that shows that his hypothesis is wrong is:-

x²+ y²=  25

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign.

Remove parentheses from each side of the equation and combine similar terms to make it simpler.

To separate the variable term on one side of the equation, use addition or subtraction.

To find the variable, use division or multiplication.

Vladas said that the equation with a squared term is never a function of x.

According to the Pythagorean Theorem, the square of two natural numbers is the third number. When these numbers are used to create a triangle, a right-angled triangle is formed, with a 90° angle between the two smaller sides.

Among the four provided hypotheses:

Option (C) is true since x2+y2=25.

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Answer:

y=-3/1x-2

y=9/3x+8

Step-by-step explanation:

Slope is -3/1 using rise over run, it's just negative because the graph is slanted down. The slope is 9/3 using rise over run. Then the y-intercepts are -2 and 8.

-Hope this helped & Happy Holidays!

As per the unitary method, the number of tulip were 21.

Unitary method:

In algebra, unitary method defines how to find the value of a unit from the value of a multiple and the value of a multiple from the value of a unit.

Given,

Here we have There were 35 bunches of rose and tulip. Each bunch had 12 of the roe flower. There 7 more bunches of tulip than rose.

Now we need to find how many tulip were there.

Let number of bunches of roses be x.

And then the number of bunches of tulips will be x + 7

The total number of bunches of flowers = 35                                                                          

So, it can be written as,

=> x + x + 7 = 35

When we simplify this one then we get,

=> 2x + 7 = 35

Now, we have to subtracting both sides by 7

=> 2x = 28

Then dividing both sides by 2

=> x = 14

So, the number of bunches of roses = 14

Then the number of bunches of tulips = 14 + 7 = 21

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The following constructions are crucial in drawing inscribed circles:

Construct an angle bisector

Construct perpendicular lines

What is the procedure to follow in drawing inscribed circles on an equilateral triangle?

An inscribed circle is a circle drawn in a triangle. An equilateral triangle is a triangle with three equal sides and angles.

The procedure to follow in drawing inscribed circles in such an equilateral triangle is as follows:

You need to construct an angle bisector at each angle of the triangle

Where they meet at the center, is the center of the inscribed circle.

Construct a straight perpendicular line, from the center to one side of the triangles

Set the compass just on the center point, you can change the length to where the perpendicular intersects the triangle to fit in, and construct your inscribed circle.

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There are 2 decorations that Jasmine makes.

What are word problems?

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

You can tackle any word problem by following these five steps:

Since we have given that

Length of a meter of ribbon used = 1/4

[tex]\frac{1}{4} = \frac{1}{4}.100 = 25[/tex]

Length of a meter cut into equal pieces = 1/2

[tex]\frac{1}{2} =\frac{1}{2}.100= 50[/tex]

So, Number of decorations that Eli make is given by

Length of total ribbon / Length of ribbon used

= 50 / 25

= 2

Hence, there are 2 decorations that Jasmine makes.

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Answer:

A

Step-by-step explanation:

Step-by-step explanation:

Jim paid £70 for a bike. Then pays £10 per month.

a) Write down an expression for the total amount paid after m months.

cost = 10m + 70

_______________________________________

b) Factor the expression.

10m + 70

common factor is 10 so:

10(m + 7)

Answer:

Step-by-step explanation:

100

8 seed packets

First, we need to figure out how many plants Emma can grow with each seed packet. To do this, divide 6 plants (the number of plants Emma currently has) by 3 seed packets (the number Emma had to begin with). This will give us a unit rate of "2 plants per seed packet".

Now that we know the unit rate, we can use it to figure out how many seed packets Emma needs to have 16 plants in her backyard. Divide 16 plants (the number of plants Emma wants to have) by 2 plants per seed packet (the unit rate). This will give us 8 seed packets.

Therefore, Emma needs 8 seed packets to have a total of 16 plants in her backyard.

If you have any additional questions or need further assistance, please let me know.

After reviewing the derivative of the tangent double , the correct order of the derivative is (a) .

In the question ,

the derivative of the  double tangent is given ,

we have to select the correct order of the derivative .

the function is tan(2x) .

Step 4:   tan(2x) = Sin(2x)/cos(2x)

Step 3 :

expanding sin(2x) and cos(2x) using identity ,

we get ,

= 2sinxcosx/(cos²x - sin²x)

Step 5 :

dividing the numerator and denominator by cos²x .

= [2sinxcosx/cos²x]/[cos²x/cos²x - sin²x/cos²x]

Step 1 : simplifying further,

we get ,

= [2sinx/cosx]/[1 - sin²x/cos²x]

Step 2 : writing sinx/cosx = tanx

we get ,

tan2x = 2tanx/(1 - tanx)

Therefore , the correct order for the given derivative is (a) 4, 3, 5, 1, 2  .

The given question is incomplete , the complete question is

Review the following derivation of the tangent double angle identity. The steps are not listed in the correct order

(a) 4, 3, 5, 1, 2

(b) 4, 5, 3, 1, 2

(c) 3, 4, 5, 1, 2

(d) 3, 4, 1, 5, 2

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Answer:

log base 28 of (7x4)

log base 28 of (28)

which equals 1

Answer:

1 -3/4

2. P(00,3)

3. Q(4,0)

4. 6

Step-by-step explanation:

1. 3x+4y=12

 4y= -3x+12

 y= -(3/4)x+ 3 , so gradient = -3/4

2. Y intercept is P (0,3)

3. X intercept is Q(4,0)

4. Area = 3×4÷2=6

Answer:

In any right triangle, the sine of one acute angle is equal to the cosine of the other angle.

Step-by-step explanation:

The equation of line in standard form that pass through the point (1, -3) and (-2, -1) is (-2x/3)-y=7/3 where -2/3 is x-intercept and -1 is the y-intercept.

A straight line's equation is given by y=mx+c, where c is the height at which the line intersects the y-axis (often referred to as the y-intercept) and m is the gradient.

The set of points that make up a line in a coordinate system are represented algebraically by a line's equation. An equation of a line is an algebraic expression that represents the many points that together make up a line in the coordinate axis as a set of variables, x, and y.

we are given with;

x1=1, y1=-3

x2=-2, y2=-1

equation of line in standard form:

Ax+By=C

so using formula:

(y−y1)=(y2−y1)(x−x1)/(x2−x1)

(y−(-3))=((-1)−(-3))(x-1)/(-2−1)

(y+3)=(2)(x−1)/(-3)

(y+3)=(2x−2)/(-3)

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

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

y=(-2x+2-9)/3

y=(-2x-7)/3

(2x/3)+y=-7/3

rearranging;

(-2x/3)-y=7/3

This is our required answer.

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-464 is the 23rd term of sequence 20,-2,-24

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The sequence is  20,-2,-24...

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is always the same.

In the sequence first term is 20

and common difference is -2-20 is -22

The general term of arithmetic sequence is aₙ=a+(n-1)d

We need to find 23rd term

a₂₃=20+(23-1)(-22)

=20+22(-22)

=20-484

=-464

Hence, -464 is the 23rd term of sequence 20,-2,-24

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Answer:

6

Step-by-step explanation:

The required fraction cup of sugar do Evelyn need to add is 8/3.

Multiply the numerators and denominators independently to track down the item. At the point when you need to duplicate divisions, increase the 2 numerators together first and compose it on top. Then increase the denominators together and compose it on the lower part of the portion. Improve on your response on the off chance that you would be able so it is in the least terms.

As question says Evelyn need 3(1/3) cup og sugar

To find many cup of sugar do Evelyn need to add.

Let the required sugar be x

Then,

2/3 + x = 3(1/3)

x = 10/3 - 2/3

x = 8/3 cup of sugar need.

Thus, required cup of sugar is 8/3.

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