if f(x)=5x-2, and g(x)=2x+1, find (f+g)(x)

Answers

Answer 1
=[5x-2]+[2x+1]
=5x-2+2x+1
=5x+2x-2+1
=7x-1

Related Questions

What is the greatest common factor for 200 and 205

Answers

The greatest common factor for 200 and 205 is 6.
5 is the answer for this question

18 tens 20 ones = Hundreds

Answers

1 hundreds is the answer
hope it helps

Simplify the expression.

(1/4)^(-3/2)

Please show how to do the problem.

Answers

Alright, so since it's to the negative power we essentially have 1/(1/4^(3/2)). After that, we find (1/4)^3=1^3/4^3=1/64 and find the square root of that, which is (sqrt1)/(sqrt64)=1/8. Since the answer is 1/(1/8), we get the answer to be 8

The sum of the interior angles of a polygon measure 2880°. what is the name of the polygon?

Answers

The name of the polygon is an Octdecagon, or in other words, a 18-sided polygon. You find the total angles of a polygon by the formula (n - 2) * 180. What I did in this case to find the number of sides, was that I divided 2,880 by 180. My quotient was 16. Then, I added 2 in order to get 18. I did the reverse by doing (18 - 2) * 180 to check my answer, and it equaled 2,880.

What is the simplified form of this expression?

Answers

[tex]\bf \cfrac{6x+12}{3x-6}\implies \cfrac{6(x+2)}{3(x-2)}\implies \cfrac{6}{3}\cdot \cfrac{(x+2)}{(x-2)}\implies \cfrac{2}{1}\cdot \cfrac{(x+2)}{(x-2)}\\\\\\ \cfrac{2(x+2)}{(x-2)}[/tex]

Algebra 1: Factoring Polynomials Factor the common factor out of each expression: 40n^4m^2+40n^3m^3-32n^3

Answers

Taking out the greatest common factor

GCF of 40, 40 and 32  = 8
GCF of n^4, n^3 and n^3  is n^3

so the factors are

8n^3(5nm^2 +5m^3 - 4)

If x represents the width of a rectangle and if its length is twice its width how long is the rectangle

Answers

if x = width, and its length is twice its width...that means it is 2 times its width....so the length of the rectangle = 2x

If x represents the width of a rectangle and if its length is twice its width then rectangle is 2x long.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given that x represents the width of a rectangle.

Length is twice its width

Length=2width

Length=2x

Length is nothing but how long the rectangle.

As the width of rectangle is x and length is 2x.

The area of rectangle is length times of width

Area of rectangle=Length×Width

=2x×x

=2x²

Hence,  x represents the width of a rectangle and if its length is twice its width then rectangle is 2x long.

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Write an equation that is linear but not standard form

Answers

Answer:

what she said is write so use it

Step-by-step explanation:

A linear equation not in standard form can be represented as y = mx + b, where 'm' is the slope and 'b' is the y-intercept. An example is y = 0.5x + 3, which graphs as a straight line with a slope of 0.5 and crossing the y-axis at the point (0, 3).

A linear equation that is not in standard form could be written as y = mx + b. This form is known as the slope-intercept form of a linear equation, where m represents the slope of the line and b represents the y-intercept, the point where the line crosses the y-axis. For example, if we choose a slope of 0.5 and a y-intercept of 3, the equation would be y = 0.5x + 3.

Solve each inequality and give the solution in interval notation:

Answers

Where is the inequality to solve?


3 -2 is equivalent to _____.




A -6
B -9
C 1/9
D 1/6

Thanks!

Answers

i believed your question 3 -2 is as 3^-2
if so then

3^-2 = 1/3^2 = 1/9

answer
C 1/9

What is another name for plane X?

Answers

plane CRDE :) ok  good to finally answer questions
Final answer:

Plane X in this scenario represents a mathematical concept in statistics. It illustrates the mean number of unoccupied seats from a sample of 225 flights. Therefore, it could also be referred to as 'the mean plane' or 'the plane of unoccupied seats'.

Explanation:

In this context, plane X represents a mathematical term commonly used in statistical analysis. It is a hypothetical plane used to denote a statistical value, in this case, the mean number of unoccupied seats from a sample of 225 flights.

So, another name for plane X could be 'the mean plane' or 'the plane of unoccupied seats' to specifically denote the statistical property it represents in this problem. Remember, this is not a physical plane but a concept employed in statistics to help comprehend and visualize data.

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What is algebra? Why does algebra used for?

Answers

Algebra is math where you find the values of symbols, variables, etc. It is used to find the value of something you don't know.
Algebra is solving for a number that you don't know. For example:

x + 14 = 17


I hope this helps.



HELP!!! PLZ HELP!!!

The graph above shows 3 enzymes and their activity at different pH levels.

What is the optimal pH for the enzyme Salivary Amylase?

Use evidence from the graph to support your answer.

Answers

Final answer:

The optimal pH for Salivary Amylase is 6.9, which supports its maximum activity in the slightly acidic environment of the mouth before the food enters the stomach.

Explanation:

The optimal pH for the enzyme Salivary Amylase is 6.9. This optimal pH allows the enzyme to exhibit its maximum catalytic activity. Enzyme activity typically increases with pH up to their optimal point and then decreases with further deviation from this optimum. As enzymes are affected by the environment they are in, Salivary Amylase, which is present in the mouth, functions best at a slightly acidic pH of 6.9, before the food moves to the more acidic environment of the stomach.

The graph shows the activity of different enzymes at different pH levels. To determine the optimal pH for Salivary Amylase, we need to look for the pH value at which the activity is highest for this specific enzyme. From the graph, we can see that the enzyme's activity is highest at pH 7-7.5, which corresponds to its optimal pH. This indicates that Salivary Amylase works most efficiently at a slightly acidic pH.

Final answer:

The optimal pH for the enzyme Salivary Amylase is around 6.9. It breaks down cooked starch into maltose in the mouth, but its activity is deactivated in the stomach.

Explanation:

The optimal pH for the enzyme Salivary Amylase is around 6.9, as indicated in the information provided. Salivary amylase is responsible for breaking down cooked starch into maltose in the mouth. However, its activity is deactivated in the stomach due to the presence of hydrochloric acid (HCl) and the activation of pepsinogen to pepsin.

A company sold 160 units in the last quarter of the year. Which of the following graphs represents the company's sales performance?

Answers

Final answer:

The question does not provide specific graphs to choose from for the company's sales performance. Nonetheless, a correct graph would show a point at 160 units for the last quarter of the year.

Explanation:

Unfortunately, the question as presented does not include any graphs to choose from. Ideally, the correct graph would have the last quarter of the year on the x-axis and the number of units sold on the y-axis. It would display a single point at 160 units for the last quarter. However, without specific graphs to choose from, a more detailed answer cannot be provided.

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The graph which represents the company's sales performance is graph B.

Which of the following graphs represents the company's sales performance?

The last quarter of the year begins October 1st and ends December 31st.

Total units sold by the company in the last quarter of the year = 160 units

Graph 1:

October = 40 units

November = 60 units

December = 40 units

Total = 140 units

Graph 2:

October = 40 units

November = 65 units

December = 55 units

Total = 160 units

Graph 3:

October = 40 units

November = 50 units

December = 50 units

Total = 140 units

Graph 4:

October = 40 units

November = 60 units

December = 50 units

Total = 150 units

Therefore, last quarter of the year in graph B represents the company's sales.

One student can paint a wall in 12 minutes. Another student can paint the same wall in 24 minutes. Working together, how long will it take for them to paint the wall?

Answers

Student 1 can paint 1/12 of the wall per minute.
Student 2 can paint 1/24 of the wall per minute.

1/12t+ 1/24t= 1 where t represents time in minutes.
3/24t=1

Divide both sides by 3/24
t=24/3
t=8

Final answer: 8 minutes

Answer: 8

Step-by-step explanation:

How do I solve this ?

Answers

1. x=6

2. n=5

CHECK MY ANSWERS IN CASE I MADE A MISTAKE
Because they are equivalent, you can cross multiply.

3*4=2x
12=2x
6=x

Final answer: x=6

The mass of the sun is 2.13525×1030 kilograms. The mass of Mercury is 3.285×1023 kilograms. How many times greater is the mass of the sun than the mass of Mercury? Drag and drop the values into the boxes to represent the answer in scientific notation.

Answers

6.5 x 10^6 To answer this question, you need to divide the mass of the sun by the mass of mercury. So 2.13525 x 10^30 / 3.285 x 10^23 = ? To do the division, divide the mantissas in the normal fashion 2.13525 / 3.285 = 0.65 And subtract the exponents. 30 - 23 = 7 So you get 0.65 x 10^7 Unless the mantissa is zero, the mantissa must be greater than or equal to 0 and less than 10. So multiply the mantissa by 10 and then subtract 1 from the exponent, giving 6.5 x 10^6 So the sun is 6.5 x 10^6 times as massive as mercury.

Answer:

6.5 x 10∧6 is the answer.

Step-by-step explanation:

Which operation should be performed first for calculations involving more than one arithmetic operation?

parentheses
exponents
multiplication
division

Answers

PEMDAS so it go parentheses, exponents, multiplication, division, addition, and subtraction
Final answer:

In calculations involving more than one arithmetic operation, the order of operations must be followed. The order of operations is PEMDAS: parentheses, exponents, multiplication and division, and addition and subtraction.


Explanation:

In calculations involving more than one arithmetic operation, the order of operations must be followed. The order of operations is PEMDAS, which stands for parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

In addition to this, the operations within the parentheses should be ideally performed first. it must be then followed by exponents, then multiplication and division, and finally addition and subtraction.

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Simplify by collecting like terms: 2x-4-6x+8

Answers

2x - 4 - 6x+8
= -4x + 4 or
= 4 - 4x 

The solution of the mathmatical exression by combining like terms,

⇒ - 4x + 4

Given that,

An expression to simplify,

⇒ 2x - 4 - 6x + 8

Now, simplify the mathmatical exression by combining like terms,

⇒ 2x - 4 - 6x + 8

Combine like terms,

⇒ 2x - 6x - 4 + 8

⇒ - 4x + 4

Therefore, the solution of expression is,

⇒ - 4x + 4

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Match each step to its justification to solve 2x+5=19

Answers

it is the steps to get to that certain step
some of the steps are out of order
I'm going to assign letters

the order is
A: 2x+5=19
B: 2x+5-5=19-5
C: 2x=14
D: 2x/2=14/2
E: x=7


A: given
B: we subtracted 5 from both sides so subtraction property of equality
C: subtract
D: divison property of equality (we divide both side by 2)
E: divide

The steps :

given subtraction property of equality subtract division property of equality divide Further Explanation

One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:

[tex]\large{\boxed{\bold{ax=b}}}[/tex]

or

ax + b = c, where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

 [tex]\large{\boxed{\bold{ax+by=c}}}[/tex]

ax + by = c

x, y = variable

There are 2 general steps to solving a linear equation of one variable:

1. add or subtract both segments with the same number so that it is expected that in one segment there are only variable modifiers or constant numbers 2. Change the equation into a simple form so that the coefficient of the variable is 1

This can be done by dividing or multiplying by equal numbers

An equation will remain equivalent if both segments are multiplied or divided by the same number

In the equation

2x + 5 = 19

The right steps to complete it according to the images included are:

1. 2x + 5 = 9 ⇒ given 2. both segments are subtracted by the number 5

 2x + 5 -5 = 9-5  ⇒subtraction property of equality

3. 2x = 14  ⇒subtract 4. both segments are divided by 2 so that the coefficient x = 1

[tex]{\displaystyle  {\frac {2x} {2}}=~\frac{14}{2}[/tex]

division property of equality

5. x = 7 ⇒ divide

Learn more

the slope-intercept form of the linear equation

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a graph of a linear equation

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system of linear equations

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Keywords: variable, linear equation

If, while training for a marathon, you ran 76 miles in 2 2/3 months, how many miles did you run each month? (Assume you ran the same amount each month)

Answers

In 2 2/3 months you ran 76 miles.
To know how many miles you ran each month, you can simply use cross multiplication as follows:
number of miles per month= (76) / (2 2/3)
= 28.5 miles

what is the answer to qx + x = r

Answers

qx+x=r
undistribute x
notice we have
qx+1x=r
x(q+1)=r
divide both sides by (q+1)
[tex]x=\frac{r}{q+1}[/tex]
Final answer:

The value of x in the equation qx + x = r can be found by combining like terms and then isolating x. The solution is x = r / (q+1).

Explanation:

The equation given is qx + x = r. This equation belongs to the domain of algebra and can be simplified using the principles of solving linear equations. Let's work step-by-step to evaluate the solution to this equation:

First, we can combine like terms on the left side, meaning we can add qx and x together since they are similar terms. By factoring out x, we get x(q + 1) = r. Then, in order to solve for x, we have to divide r by the sum of q + 1. The resulting equation is x = r / (q + 1).

That is the solution to the equation.

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Please help with this problem.

Answers

So first you make two isosceles triangles, one is URS and the other is UST. First find the degrees of angle RSU which is (180-120)/2=30. Then you know that TSU is 70 and then you can find angle T is 180-70*2 which is 40.

Another method, which is faster is that in a quadrilateral, all angles make 180 degrees. 120+100+100 is 320 and 360-320 is 40.

The width of a rectangle is 12 centimeters more than the length the perimeter is 68 centimeters find the

Answers

Length=x
Width=x+12
Perimeter=68

To find the perimeter you have to add all the sides

So it will look like this:
x+(x+12)+x+(x+12)=68
4x+24=68
4x=68-24
4x=44
x=44/4
x=11

the length is 11 cm long
width is 11+12= 23
The width is 23cm long

The ratio of the number of boy campers to the number of girl campers with 8 to 7. If there were a total of 195 campers, how many boy campers were there? How many girl campers?

Answers

There are 8 girls per 15 campers because 8 divided by 7 boys and 8 girls. The proportion is 8/15. If there are 195 campers, then you are looking for the number of girls, so 8/15 = x/195, where x is the number of girls. Solve for x. 15x = 8(195) 1560 = 15x x = 104 104 girls. Number of boys = y, 195-104=y y = 91

Select the equation that most accurately depicts the word problem. The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of L inches, plus twice the width of 9 inches.

Answers

you don't list the options but it should look something like this:

68=2L+2(9)

an object falls d meters in t seconds. what is the independent variable

Answers

the independent variable would be “d meters” because the amount of time depends “dependent variable” on the height of the fall

The set of whole numbers is closed under division
True or false

Answers

True,because all whole number cannot be divided

Answer:

true

Step-by-step explanation:

The minimum wage in 2003 was $5.15. This was w more than the minimum wage in 1996. Write an expression for the minimum wage in 1996.

Answers

$5.15 - w = minimum wage in 1996

(if that wasn't what you were looking for then comment what you really wanted)

Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates. slope: −13−13, ordered pair: (−1,−3)(−1,−3)

Answers

serdtfyguhijokpijhugyftdresdtfgbhjn
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