If f(x) = 3x + 10x and g(x) = 4x – 2, find (f + g)(x).

A. 17x – 2
B. 3x – 6x + 2
C. 3x + 14x – 2
D. 3x + 6x + 2

Answers

Answer 1
3x + 10x + 4x – 2
= 17x - 2

answer is A. 17x – 2
Answer 2

Answer:c

Step-by-step explanation:


Related Questions

If AB is parallel to CD and the slope of CD is -8, what is the slope of AB ?

Answers

Parallel Lines Theorem Two coplanar nonvertical lines are parallel if and only if they have the same slope. Any two vertical lines are parallel. Therefore, the slope of AB is -8 if AB is parallel to CD.

Answer:

and only if they have the same slope. Any two vertical lines are parallel. Therefore, the slope of AB is -8 if AB is parallel to CD.

Step-by-step explanation:

2/3 of a circle is what percent of a circle

Answers

I hope this helps you




360.2/3=240



if 360 240


100 ?



?.360=240.100


?=66,6

The lines p and q intersect at point O. What is the value of x?
X =

Answers

Answer:

The value of x is 16 .

Step-by-step explanation:

Definition of vertically opposite angles

Two lines crosses angles opposite to each other are called vertically opposite angle .

Thus

(2x + 13)° = (3x-3)°

(Vertically opposite angles )

2x + 13 = 3x-3

2x - 3x = -3-13

-x = -16

x = 16

Therefore the value of x is 16 .

Question 8
 8  pts + 4 pts for the best answer Thanks!
Question is attached.

Answers

The answer will be -3
-3 is the answer just make sure u get it right

Which relationship between x and y in the equation shows a proportional relationship?

y=3x
y=5(x+3)
y+5=x+3 
y=5x+3

Answers

y=3x
they are in proportion of 1 to 3

Joe paid $14.00 for a board game this is 70% of the original price what was the original price

Answers

start off by finding 10% of $14. in order to find 10%, divide it by 70 which gives 2. you now need to make the 30% to add to the 70%, by timesing the 2 by 3to give 6. now all you need to do it add the 6 to 14 to make 20!

so your answer is $20

Answer:

The original price was $20.00

Step-by-step explanation:

Joe paid $14.00 for a board game.

This is the 70% of the original price.

Let the original price of a board game be x

70% of x = $14.00

0.70x = 14.00

x = [tex]\frac{14}{0.7}[/tex] = $20.00

The original price was $20.00

1. Solve for Y 1/2y+4x=z

Answers

I hope this helps you

mai is saving money to buy a game so far she has saved 20$ which is four fifths of the total cost of the game how much does the game cost

Answers

Four fifths of 25 is twenty so the total cost would be 25$

show that cos(3theta) = cos^3(theta)-3 cos(theta)sin^2(theta) ... use this to find an equation in rectangular coordinates for the curve r= 4 cos (3theta)......


ANY HELP ? ...?

Answers

First, the angle sum forumlas:sin(α+β)=sinαcosβ+sinβcosαcos(α+β)=cosαcosβ−sinαsinβSo,cos(3θ)=cos(2θ+θ)=cos(2θ)cosθ−sin(2θ)sinθ=(cos2θ−sin2θ)cosθ−(2sinθcosθ)sinθ
From there, it's distribute and simplify...

Simplify i³⁸. [i=√(-1)]

Answers

answer is -1 (because even powers of i always give -1)

The 38th power, [tex]i^{38[/tex] simplifies to -1.

To simplify [tex]\( i^{38 \),[/tex] you can start by recognizing the pattern that powers of i repeat every four terms. This means that [tex]\( i^{4\),[/tex]  equals 1, [tex]\( i^{8 \),[/tex]  also equals 1, and so on. Therefore,  [tex]\( i^{38 \),[/tex]can be simplified as follows:

[tex]\[ i^{38} = i^{4 \cdot 9 + 2} \][/tex]

Since [tex]\( i^4 \)[/tex] is equal to 1, we have:

[tex]\[ i^{38} = (i^4)^9 \cdot i^2 = 1^9 \cdot (-1) = -1 \][/tex]

So,[tex]\( i^{38} \)[/tex] simplifies to -1.

Complete question is:

Simplify i³⁸. [i=√(-1)]

denise bought 5.2 pounds of rice for $5.29. using the unit rate, how much would 2 pounds of rice cost?

Answers

5.29/5.2=x/2
times both sides by (5.2)(2)
(2)(5.29)=5.2x
10.58=5.2x
divide both sides by 5.2
2.034=x
answer is $2.03 for 2lb rice
i think it will be $1.966 or about $2 if you rounded it up

A new game is being constructed where the game board is going to have 8 rows with 10 spaces in each row. What is the smallest game board that can be made?

Answers

10 x 10 board I guess

Answer: There can be made 40 smallest game boards.

Step-by-step explanation:

Since we have given that

Number of rows = 8

Number of spaces in each row = 10

we need to find the smallest game board that can be made.

As we know that For Smallest we always find "L.C.M" because L.C.M. stands for least common multiple.

So, L.C.M. of 8 and 10 = 40

Hence, there can be made 40 smallest game boards.

What is the range of the function on the graph

Answers

Harizontile and diagniol because the line is going both ways

Answer:

all real numbers less than or equal to 3

Step-by-step explanation:

The range of the function is set of all y value for which the function is defined

To find out the range we look at the maximum or minimum point on the graph

Maximum point on the graph that is vertex is (-1,3)

x=-1 and y=3

The graph of y is below 3 (vertex)

So the range of the function is set of all real numbers less than or equal to 3

solve: log 3=.5, then log 1/9=?

Answers

If we know that log 3 = .5, we have to solve:
log 1/9 = ?
log 1/9 = log 3^(-2) = -2 * log 3=                ( because: log x^n = n log x )
- 2 * .5 = - 1
Answer: log 1/9 = - 1 

18 is 240% of what? basic percent equation ...?

Answers

18 = (240/100) x what;
what = 18 x (100/240);
what = 1800/240;
what = 7.5;

What does the equal sign with an arrow mean?

Answers

The ⇒ sign means that if the function on the left hand side of the notation is true, then so is the function on the right hand side of the notation.

Choose the equation below that represents the line that passes through the point (2, 4) and has a slope of 3.
Answer
y - 4 = 3(x - 2)
y + 2 = 3(x + 4)
y + 4 = 3(x + 2)
y - 2 = 3(x - 4)
...?

Answers

y - 4 = 3(x - 2) is the required equation

The correct equation for the line that passes through the point (2, 4) with a slope of 3 is 'y - 4 = 3(x - 2)' using the point-slope form of a linear equation.

The equation that represents the line passing through the point (2, 4) with a slope of 3 is y - 4 = 3(x - 2). To find the equation of a line given a point and a slope, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is the point the line passes through and m is the slope of the line.

Since the line must pass through (2, 4) and the slope (m) is 3, we plug these values into the point-slope form to get the correct equation.

The price of a pair of shoes is $52. The price is 15% lower than last week. What was the price of the shoes last week? Round your answer to the nearest cent. Enter your answer in the box. $

Answers

02012001 is wrong. The answer is 61.18

The original price of the shoes can be found by dividing the current price, $52, by 0.85, which yields an original price of approximately $61.18.

The current price of a pair of shoes is $52, which is 15% lower than it was last week. To find the original price, you can set up an equation where the original price minus 15% of the original price equals the current price of $52.

Let x represent the original price. The equation is then x - 0.15x = $52. Simplify this to 0.85x = $52. Divide both sides by 0.85 to solve for x.

x = $52 / 0.85

x = $61.18

Therefore, the price of the shoes last week was approximately $61.18.

How many points are shared by concentric circles?

a. 0
b. 1
c. 2
d. infinite points

Answers

Zero! Concentric circles all share the same center or middle point. This means there is one outer circle and infinite circles inside of it but they never touch one another.

Answer:

Option a. 0

Step-by-step explanation:

As we know if we draw two circles with same center but with the different radii, they neither touch each other nor intersect. This is true not only for two circles but for infinite number of the circles having the same center. They never have the common points to share. Set of points lying on each concentric circles are different.

Therefore Option a. 0 points is the correct answer.

GRAPHING EXPONENTIAL FUNCTIONS
1. If (-1, y) lies on the graph of y = 3^x+1, then y =
a) 0
b) 1/3
c) 1

2. If (x, 1/100) lies on the graph of y = 10^x, then x =
a) 2
b) -1/2
c) -2

3. If (-1, y) lies on the graph of y = 2^2x, then y =
a) -4
b) 1/4
c) 1

4. What is the relationship between the graphs of y = 2^x and y = 2^-x?
a) reflections over the x-axis
b) reflections over the y-axis
c) reflections over y = x

5. If (3, y) lies on the graph of y = -(2x), then y =
a) 1/8
b) -6
c) -8

6. Which of the following equations is not exponential?
a) y = 1x
b) y = (1/2)x
c) y = -2x

7. If (-2, y) lies on the graph of y = 4^x, then y =
a) -16
b) 1/16
c) 16

8. If (-3, y) lies on the graph of y = 3^-x, then y =
a) -27
b) 1/27
c) 27

9. If (-3, y) lies on the graph of y = 3^x, then y =
a) 1/27
b) -1
c) -27

10. If (-3, y) lies on the graph of y = (1/2)^x, then y =
a) 8
b) 1/8
c) -8

Answers

1. If (-1, y) lies on the graph of y = 3^(x+1), then y = 3^(-1 + 1) = 3^0 = 1

2. If (x, 1/100) lies on the graph of y = 10^x, then 1/100 = 10^x
10^-2 = 10^x
x = -2

3. If (-1, y) lies on the graph of y = 2^2x, then y = 2^2(-1) = 2^(-2) = 1/4

4. The relationship between the graphs of y = 2^x and y = 2^-x is reflections over the y-axis.

5. If (3, y) lies on the graph of y = -(2x), then y = -2(3) = -6

6. All are not exponential

7. If (-2, y) lies on the graph of y = 4^x, then y = 4^(-2) = 1/4^2 = 1/16

8. If (-3, y) lies on the graph of y = 3^-x, then y = 3^-(-3) = 3^3 = 27

9. If (-3, y) lies on the graph of y = 3^x, then y = 3^(-3) = 1/3^3 = 1/27

10. If (-3, y) lies on the graph of y = (1/2)^x, then y = (1/2)^(-3) = 2^3 = 8

The detailed answer provides the solutions to a series of questions involving finding specific values for y given x in various exponential equations, as well as recognizing the relationship between graphs of exponential functions and identifying which equations are not exponential.

1. If (-1, y) lies on the graph of y = 3ˣ+1, then y equals the value of the function when x is -1. Therefore, y = 3⁻¹ + 1 which simplifies to y = 1/3 + 1 = 4/3, which is not one of the provided options.

2. If (x, 1/100) lies on the graph of y = 10ˣ, then we need to find the value of x such that 10ˣ equals 1/100. 10ˣ = 1/100 is equivalent to 10ˣ = 10⁻², so x = -2.

3. If (-1, y) lies on the graph of y = 2²ˣ, we substitute x with -1. Then y = 2²*⁻¹ = 2⁻² = 1/4.

4. The relationship between the graphs of y = 2ˣ and y = 2⁻ˣ is that they are reflections over the y-axis. When x is replaced by -x in the function, the resulting graph is a reflection over the y-axis.

5. If (3, y) lies on the graph of y = -(2ˣ), then y is the negative value of 2 raised to the power of 3, which is -8. So, y = -8.

6. Among the given equations, y = -2ˣ is not exponential because it lacks the variable as an exponent. So, y = -2ˣ is not exponential.

7. If (-2, y) lies on the graph of y = 4ˣ, then y = 4⁻² = 1/16.

8. If (-3, y) lies on the graph of y = 3⁻ˣ, then y = 3⁻⁽⁻³⁾ = 3³ = 27.

9. If (-3, y) lies on the graph of y = 3ˣ, then y = 3⁻³ = 1/27.

10. If (-3, y) lies on the graph of y = (1/2)ˣ, then y = (1/2)⁻³ = 2³ = 8.

At a local University 54.3% of incoming first-year students have computers. If 3 students are selected at random, find the following probability. A) At least one has a computer
B) None have computers

Answers

 A is .9046
B is .457^3

If there is a positive correlation between salary and education, then based on the table shown, which of the following careers requires the least education?


a. accountant
b. architect
c. pharmacist
d. surveyor

Answers

Answer:

D


Step-by-step explanation:

The horizontal axis of the graph is Salary.

Given there is a positive correlation between salary and education, means that as if education increase, salary increase OR if education decrease, salary decrease, and vice versa.


Out of the 4 choices, they wanted to know the one that requires LEAST education. So we will look at the bar that has LEAST salary.

Looking at the graph and bars, out of the 4 choices, Surveyor has the LEAST SALARY, so SURVEYOR would require LEAST EDUCATION. Answer choice D is right.

The career with the least education and having positive correlation between salary and education is [tex]\boxed{{\text{Surveyor}}}.[/tex] Option (d) is correct.

Further Explanation:

Given:

The options are as follows,

(a). Accountant

(b). Architect

(c). Pharmacist

(d). Surveyor

Explanation:

Correlation is a relationship between the two events. The change in one will affect the in change of another one.

There are two type correlations.

A positive correlation mean that if one increases the second event will also increase and if one decreases the second event will also decreases.

A negative correlation mean that if one increases the second event will also decrease and if one decreases the second event will also increase.

There is a positive correlation between salary and education.

The least salary in the given option is of surveyor and has least education.

The career with the least education and having positive correlation between salary and education is [tex]\boxed{{\text{Surveyor}}}[/tex]. Option (d) is correct.

Learn more:

Learn more about normal distribution https://brainly.com/question/12698949 Learn more about standard normal distribution https://brainly.com/question/13006989 Learn more about confidence interval of meanhttps://brainly.com/question/12986589

Answer details:

Grade: High School

Subject: Statistics

Chapter: Correlation

Keywords: correlation, salary, education, positive correlation, based, careers, least education, accountant, architect, pharmacist, surveyor, negative correlation, average salaries, personal trainer,  

what is 475.53 minus 67.37

Answers

It is 408.16. because that is what you get when you subtract them.
hello, it should be 408.16 

What is the end of the CD account time when the money can be withdrawn?

Maturity date

End date

Completion date

Withdrawal date

Answers

The correct answer for this question would be the first option. It is the MATURITY DATE that is seen in the end of the CD (Certificate of Deposit) account time when the money can be withdrawn. Hope this is the answer that you are looking for. 

Correct Answer: maturity date

Solve the equation sin theta = 0.3 to the nearest tenth. Use the restrictions 90degrees < theta < 180degrees.

A)
θ=107.5


B)
θ=162.5


C)
θ=197.5


D)
θ=17.5

Answers

We first do:
∅ = sin⁻¹(0.3)
∅ = 17.5°

To go into the second quadrant, we add 90°.
∅ = 17.5 + 90
= 107.5°
The answer is A.

Parallelogram ABCD is dilated to form parallelogram EFGH. Side BC is proportional to side CD.

What corresponding side is proportional to segment FG?

Answers

Side FG is proportional to side BC. When showing that two figures are similar, they should always be typed in the order of the points they correspond to. In this instance, ABCD ~ EFGH, meaning that AB ~ EF, BC ~ FG, CD ~ GH, and AD ~ EH. Let's use a simpler example, with similar triangles MNO and XYZ.

MNO ~ XYZ   Since the two triangles are written in this specific order, each side should be similar to the side in the same order on the other triangle.
MN ~ XY
NO ~ YZ
MO ~ XZ

Hope this helps!

Select all ratios equivalent to 5:15.
2:60, 20:9, 7:21, 1:3

Answers

20:9 and 1:3, it says my character count is too short so I'm writing this LOL

7 × 30 = 7 × ___ tens

Answers

30 tens so that it can still= 210 tens.

7 × 30 = 7 × 3 tens.

To solve 7 × 30 in terms of tens, we first observe that 30 can be written as 3 tens since 30 equals 3 × 10.
Therefore:

7 × 30 can be rewritten as 7 × (3 × 10), which simplifies to 7 × 3 tens.

So, 7 × 30 = 7 × 3 tens.

John invested $400 in a savings account. How much interest will he earn in 5 years if the imterest rate is 7%?

Answers

I=prt....i=400*0.07*5=?????
400 * 5 * 0.07 = 140

answer: John will earn $140 of interest in 5 years

The recipe calls for 1 egg, which makes 8 slices of pumpkin pie. how many eggs would be needed to make 56 slices of pumpkin pie ?

Answers

1 / 8 = x / 56
cross multiply
8x = 56
x = 56/8
x = 7 eggs are needed to make 56 slices

To find the number of eggs needed for 56 slices of pumpkin pie when the recipe calls for 1 egg for 8 slices, simply set up a proportion and solve. In this case, you would need 7 eggs for 56 slices of pie.

To determine how many eggs are needed to make 56 slices of pumpkin pie, we use a proportion. Given that 1 egg makes 8 slices of pie, we set up the proportion as follows:

1 egg / 8 slices = x eggs / 56 slices

Solving for x, which represents the number of eggs needed for 56 slices, we get that x = 7 eggs.

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