if f(x)=3^x+10 and g(x)=2x-4, find (f+g)(x)

Answers

Answer 1

Answer:

4

Step-by-step explanation:


Related Questions

what is the equivalent factor of 21 +99 ​

Answers

Answer:

3(7+33)

Step-by-step explanation:

Complete the third step to solve the equation.

3 + 2x = -6x + 4

1. Isolate the variable term on one side: 3 + 8x = 4

2. Isolate the constant on the other side: 8x = 1

3. Solve for x: x =

Answers

Step-by-step explanation:

8x = 1

x = 1/8

So x = 1/8 is the correct answer

X equal one over eight

PLSS Someone plss help plss helppp plllsss Will mark brainliest!!!

Answers

Answer:

( 6 , 8 )

Step-by-step explanation:

y = kx

k = [tex]\frac{y}{x}[/tex]

( 3 , 4 )

k = [tex]\frac{4}{3}[/tex]

[tex]\frac{4}{3}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{12}{9}[/tex] = ....

( 6 , 8 )

Find the dimensions of the rectangle with maximum area that can be inscribed in a circle of radius 10.

Answers

Answer:

Step-by-step explanation:

That will be a square with a diagonal of 20

side length of 20sin45

and area of (20sin45)² = 200 units²

prove it you say?

Area of a rectangle is base times height

A = bh

With a radius of 10, the diagonals of any rectangle inscribed will be 20 units

20² = b² + h²

h = [tex]\sqrt{400 - b^2}[/tex]

A = bh

A = b[tex]\sqrt{400 - b^2}[/tex]

Area will be maximized when the derivative is set to zero

           dA/db = [tex]\sqrt{400 - b^2}[/tex] - b²/ [tex]\sqrt{400 - b^2}[/tex]

                   0 = [tex]\sqrt{400 - b^2}[/tex] - b²/ [tex]\sqrt{400 - b^2}[/tex]

b²/[tex]\sqrt{400 - b^2}[/tex] =  [tex]\sqrt{400 - b^2}[/tex]

                  b² = 400 - b²

                2b² = 400

                  b² = 200

                  b = [tex]\sqrt{200}[/tex]

h = [tex]\sqrt{400 - b^2}[/tex]

h = [tex]\sqrt{400 - \sqrt{200}^2 }[/tex]

h = [tex]\sqrt{200}[/tex]

A = bh

A =  [tex]\sqrt{200}[/tex][tex]\sqrt{200}[/tex]

A = 200 units²

Can the sum of two palindromic numbers be another palindromic number?​

Answers

Answer:

Every positive integer can be written as the sum of three palindromes, numbers that remain the same when their digits are reverse. For example, 389 = 11 + 55 + 323. This holds not just for base 10 but for any base b ≥ 5.

If y ∝ 1∕x and y = –2 when x = 14, find the equation that connects x and y.

A) y = –28x
B) y = –7x
C) y = –28∕x
D) y = –7∕x

Answers

Answer:

C

Step-by-step explanation:

Given y ∝ [tex]\frac{1}{x}[/tex] then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = - 2 when x = 14 , then

- 2 = [tex]\frac{k}{14}[/tex] ( multiply both sides by 14 )

- 28 = k

y = - [tex]\frac{28}{x}[/tex] ← equation of variation

Hailey wacthed 30% of the 120 shows in her favrite seires. How many more epsiodes will she need to wacth to finnish the series? (ik this easy)​

Answers

Answer:

84

Step-by-step explanation:

Total episodes to watch = (100 - 30)% = 70%

Finding 70% of 120

70/100 × 120

7 × 12

84

WHAT PERCENT OF 200 IS 28???? HELP MEEEEEE!!!!!!!!!

Answers

Answer:

14%

Step-by-step explanation:

Find the quotient of 29 and 200.

[tex]\frac{28}{200}=0.14[/tex]

Therefore, 28 is 14% of 200.

The number 28 is 14% of the number 200.


What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the number is 200 and 28 is what percent of 200 will be calculated as:-

The percentage will be calculated as:-

200 x (X)% = 28

X% = ( 28 x 100) / 200

X% = 14%

Therefore, the number 28 is 14% of the number 200.

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basically almost finished it just stuck on the last part. The angle of elevation to a nearby tree from a point on the ground is
measured to be 46°. How tall is the tree if the point on the ground is 12 feetfrom the tree? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

12.4 ft

Step-by-step explanation:

Everything is done right so far.

Now to calculate the height of the tree, 12tan46, put the equation into a calculator.

Either a graphing calculator (make sure it is in degrees, not radians),

or the one on your phone (turn your phone landscape in the calculator app to get the trig functions.))

12tan46= 12.4 ft

Charles wants to buy an anime book that is on sale for $14.99. Her sister kyra wants to buy a novel book for $17.99. Both of them has to pay a 7% tax. Kyra has a coupon for 15% discount. Whats the difference between the amount that each siblings has to pay?

Answers

Answer:

The difference between their total amounts is .34 cents

also it didnt look like i was supposed to count a discount for charles so i didnt :)

Step-by-step explanation:

Charles

14.99 times .07 = 1.04

14.99 + 1.04 = 16.03

Kyra

17.99 times .15 = 2.69

17.99 -2.69 = 15.30

15.30 times .7 = 1.07

15.30 + 1.07 = 16.37

16.37 - 16.03 = .34

MARKING AS BRAINLIEST!!

Answers

Answer: They are inverses of each other

============================================================

Explanation:

We need to check two things:

f(g(x)) = xg(f(x)) = x

If both of those equations are true, then f and g are inverses of each other.

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

Part 1

[tex]f(x) = -3x-12\\\\f(g(x)) = -3( g(x) )-12\\\\f(g(x)) = -3\left( \frac{-12-x}{3} \right)-12\\\\f(g(x)) = 12+x-12\\\\f(g(x)) = x\\\\[/tex]

So far, so good. Now we need to check the other equation mentioned.

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

Part 2

[tex]g(x) = \frac{-12-x}{3}\\\\g(f(x)) = \frac{-12-( f(x) )}{3}\\\\g(f(x)) = \frac{-12-( -3x-12 )}{3}\\\\g(f(x)) = \frac{-12+3x+12}{3}\\\\g(f(x)) = \frac{3x}{3}\\\\g(f(x)) = x\\\\[/tex]

That works out as well. Both equations mentioned are true, which confirms the two original functions are inverses of one another.

y’’’’ - y = 0
y(0) = 0
y’(0) = 1
y’’(0) = 0
y’’’(0) = 0

Answers

Answer:

bick in my vaogina toes Step-by-step explanation:

NEED NOW PLEASE.......

Answers

Answer:

Integers

Step-by-step explanation:

Integers are the set of whole numbers and their opposites.

The answer is integers

Can anybody help me with these three problems thank you

Answers

Answer:

1) 1/7

2) 1/3

3) 1/4

Step-by-step explanation:

1) Since there are 7 days in a week it can be expressed as the fraction 1/7

2) Since there are 3 feet in a yard it can be expressed as the fraction 1/3

3) Since there are 4 quarts in a gallon it can be expressed as the fraction 1/4

HELPPP FAST LIKE 4 minutes left

Answers

Answer: A. 40

Step-by-step explanation:

Okie help please math math math

Answers

Answer:

x = 15

Step-by-step explanation:

The angles shown are supplementary angles. Supplementary angles add up to equal 180°

This means that 2x + 8 + 8x + 22 must equal 180

Note that we've just created an equation that we can use to solve for x

We now solve for x using that equation

2x + 8 + 8x + 22 = 180

combine like terms : 2x + 8x = 10x and 8 + 22 = 30

10x + 30 = 180

subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150

10x = 150

divide both sides by 10: 10x / 10 = x and 150 / 10 = 15

we're left with x = 15

Answer:

x = 15

Step-by-step explanation:

The angles shown are supplementary angles. Supplementary angles add up to equal 180°

This means that 2x + 8 + 8x + 22 must equal 180

Note that we've just created an equation that we can use to solve for x

We now solve for x using that equation

2x + 8 + 8x + 22 = 180

combine like terms : 2x + 8x = 10x and 8 + 22 = 30

10x + 30 = 180

subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150

10x = 150

divide both sides by 10: 10x / 10 = x and 150 / 10 = 15

we're left with x = 15


460,451,442,...
Find the 37th term.
Find the 37th term.

Answers

Answer:

The 37th term is 136.

Step-by-step explanation:

The sequence has a common difference therefore, it is an arithmetic sequence

The formula for arithmetic sequence is

[tex]an = a1 + (n - 1)d[/tex]

where,

an is the nth term,

a1 is the first term,

n is the term number and

d is the common difference

Find the 37th term.

an = a1 + ( n-1 ) d

a37 = 460 + ( 37-1 ) -9

a37 = 460 + ( -324 )

a37 = 136


A clerk is decreasing the price of an item by 15% The original price of an item is ($550
What will the new price be?

Answers

The new price would be: 3666$! I hope I helped have a good day!

write as an expression: Fifteen more than the quotient of 24 and a number x. then evaluate when x equals 8

Answers

Answer:

18

Step-by-step explanation:

The expression would be 24/x + 15. 24 divided by 8 is 3 and 3 plus 15 is 18.

Tomika uses 6 1/9 inches of wire to make a necklace and 3 1/3 inches of wire to make a bracelet. How many necklace and bracelet sets can she make if she uses 28 1/3 inches of wire in all?​

Answers

Answer:

3

Step-by-step explanation:

Which of the following numbers can be expressed as a decimal that terminates? 3/2,2/3,3/4,5/7


Answers

Answer:

Step-by-step explanation:

An example of one fraction that does NOT terminate is 2/3.

2/3 = 0.666666666666666 ....  That's the easy way to tackle the problem. Pick out the ones that don't terminate.

5/7 is the other one. It does not terminate either. It has 6 digits in a block that keeps on repeating itself forever.

5/7 = .571428 571428 which goes on forever.

So the two that do terminate are

3/2 which = 1.5

3/4 which = 0.75

Simplify: Square root 25ab^6 help please

Answers

Answer:

5 b^ 3 √ a

Step-by-step explanation:

Break up the radicand up into a product of known factors assuming positive real numbers.

How do u write x/7=14 in algebra tiles

Answers

Answer:

98 is the answer.

Step-by-step explanation:

x/7 = 14

=> 14 × 7 = 7 × x/7

=> x = 98

Therefore, 98 is the answer.

Hoped this helped.

How many factor pairs does 15 have

Answers

Answer:

It has a total of 4 the factors are 1,3,5, and 15

The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
1
a. y = f (2x)
b
y = f (3)
C. 2y = f(x)
= x
. d. = f(x)
у
-
Enter

Answers

Answer:

Step-by-step explanation:

The answer is d.

The black graph corresponds to the function y = f(x). The function represented in the red graph is y/2 = f(x). Therefore, option d is correct.

What is a graph representing a function ?

A graph representing a function is a visual representation of the relationship between the input values (often called the "domain") and the output values (often called the "range") of the function.

For example, if we have a function f(x) = x^2, we can create a graph by choosing some input values for x (e.g. -3, -2, -1, 0, 1, 2, 3), computing the corresponding output values using the function (e.g. 9, 4, 1, 0, 1, 4, 9), and plotting the points (x,y) = (-3,9), (-2,4), (-1,1), (0,0), (1,1), (2,4), (3,9) on the graph.

Here, the black graph corresponds to the function:

y = f (x).

In the red graph, the y values are increased to two fold but the x-values are the same.

then,

relation between new y values and older function f(x) is :

y/2 = f (x).

Therefore, option D is correct.

Find more on graphs:

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i need help on this asap pls help??

Answers

Answer:

Step-by-step explanation:

Your answer is correct, but you need both the positive and the negative of the square root of 3. You only listed the positive one.

Jose is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 6 t-shirts, and 3 pairs of shoes. How many different outfits does Jose have to choose from?

Answers

Answer:

Jose has 36 outfits in total, just multiply all the numbers together

Step-by-step explanation:

HELP PLS, ill reward w brainlist or whatever those things r JUST HELP

Answers

Answer:

I am not exactly sure of the answer, i am just trying to help

I think the angle O is 135

The triangle BOC is a right angle triangle which means that O is 90 degrees so when K splits it in half it becomes 45 degrees in both BOK and COK. The triangle you are asked to find the angle of is AOK so the 45 degrees from the BOK triangle and add it to the the 90 degrees from the BOA triangle you will get 135 degrees for the angle O in the triangle AOK.

I dont know if you understan what i am trying to say

5. Seismologists use the Richter scale to measure the magnitudes and intensity of
earthquakes that occur all over the earth. (see below, some info about Richter scales,
and intensity formula)
Let's say an earthquake hit Santa Monica, CA and had a magnitude of 6.2. If another
earthquake hit Charleston, SC and was a magnitude of 3.8, then how much more
intense was the earthquake in LA?
Student's Work
Student's Answer
A. 251.19 times
B. 11.02 times
C. 42.81 times
D. 2.4 times
Some additional Richter scale info...
A common logarithm is a logarithm with base 10. You can write a common logarithm logio * simply as log x, without
showing the 10
Many measurements of physical phenomena have such a wide range of values that the reported measurements are
logarithms (exponents) of the values, not the values themselves. When you use the logarithm of a quantity instead of the
quantity, you are using a logarithmic scale. The Richter scale is a logarithmic scale. It gives logarithmic measurements
of earthquake magnitudo.
1
3) 1 Hot 10
Intensity formula:
-
= M - M₂
-
log
12

Answers

Applying logarithms, it is found that the earthquake in LA was 251.19 times more intense, and the correct option is A.

The logarithm of the ratio of intensity of two earthquakes of magnitudes [tex]M_1[/tex] and [tex]M_2[/tex] is given by:

[tex]\log{\frac{I_1}{I_2}} = M_1 - M_2[/tex]

[tex]\frac{I_1}{I_2}[/tex] gives how much more intense earthquake 1 is compared to earthquake 2.

In this problem, [tex]M_1 = 6.2, M_2 = 3.8[/tex], then:

[tex]\log{\frac{I_1}{I_2}} = M_1 - M_2[/tex]

[tex]\log{\frac{I_1}{I_2}} = 6.2 - 3.8[/tex]

[tex]\log{\frac{I_1}{I_2}} = 2.4[/tex]

[tex]10^{\log{\frac{I_1}{I_2}}} = 10^{2.4}[/tex]

[tex]\frac{I_1}{I_2} = 251.19[/tex]

Hence, the earthquake in LA was 251.19 times more intense, and the correct option is A.

A similar problem is given at https://brainly.com/question/2528611

In the standard (x, y) coordinate plane, what is the
distance between the origin and the point (,5 –12)

Answers

Answer:

13

Step-by-step explanation:

You simply apply the distance formula:

[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2} =\sqrt{(5-0)^2+(-12-0)^2} = \sqrt{25+144}=\sqrt{169}=13[/tex]

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