Find the function h(x) = f(x) + g(x) if f(x) = 4^x + 2 and g(x) = x - 4.

h( x) = 4 x + 1 -2
h( x) = 4 x + x + 6
h( x) = 4 x - 4
h( x) = 4 x + x - 2

Answers

Answer 1

Answer:

h( x) = 4^x + x - 2

Step-by-step explanation:

h(x)=f(x)+g(x)=4^x+2+x-4=4^x+x-2


Related Questions

what is our goal when solving a system of equations?

Answers

Answer:

Look below.

Step-by-step explanation:

Our goal when solving a system of equations is to reduce two equations that have two variables, down to a single equation with one variable.  

Which expression is equivalent to the given expression? 6ab/(a^0b^2)^4

Answers

Answer:

B

Step-by-step explanation:

[tex]x^{0} = 1\\\\\frac{x^{m}}{x^{n}}= \frac{1}{x^(n-m)}}, n >m\\\\\\\frac{6ab}{(a^{0}b^{2})^{4}}=\frac{6ab}{(1*b^{2})^{4}}\\\\=\frac{6ab}{b^{2*4}}\\\\=\frac{6ab}{b^{8}}\\\\=\frac{6a}{b^{8-1}}\\\\=\frac{6a}{b^{7}}[/tex]

The equivalent expression of 6ab/(a^0b^2)^4 is 6a/b^7

How to determine the equivalent expression?

The expression is given as:

6ab/(a^0b^2)^4

Evaluate the exponent of 0

6ab/(b^2)^4

Apply the law of indices, and open the bracket

6ab/b^8

Apply the law of indices

6a/b^(8-1)

Evaluate the difference

6a/b^7

Hence, the equivalent expression of 6ab/(a^0b^2)^4 is 6a/b^7

Read more about equivalent expression at:

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A scale drawing shows a circular fountain with a diameter of 12 units. The actual fountain has a diameter of 60 feet. Select all the possible scales that could be used for the drawing.

Answers

Answer:i think its 70 if im wrong im very sorry

Step-by-step explanation:

Triangle A'B'C' is the result of translating ABC by 6 units to the right and 2 units down. Select all of the correct statments about the unchanged properties of ABC and A'B'C'​

Answers

Answer:

The correct answers are A and C.

Step-by-step explanation:

Answer: A + C

Step-by-step explanation:

i got it right

alexa's friends got her a skydiving lesson for her birthday.

Answers

That’s a pretty sweet gift.

Answer:

ok and what's the question? (*゜ー゜*)

Step-by-step explanation:

An escalator in a department store carries people a vertical distance of 14 feet between floors. How
long is the escalator if it makes an angle of 30° with the ground?

Feet : ____

Answers

The escalator -- or hypotenuse-- is
40
feet long

Hope this helps!!!

Given: p || q, and r || s.

Answers

Answer:

I did the figure

mark brainliest if comfortable :)

The Earth's crust is ___
thin
fragile
the outermost layer
all of the above

Answers

Answer:

all of the above po

Step-by-step explanation:

sana makatulong

Answer:

Extremely

Step-by-step explanation:

Anyone pls helppppppppp!!

Answers

Answer:

0.50

Step-by-step explanation:

is the following relation a function? Yes or no​

Answers

Answer:

yes

Step-by-step explanation:

the line is in -1 in all 4 quadrants, I will say yes but I'm not sure

Answer:

the following is not a function

Step-by-step explanation:

the following is not a function because in order for it to be a function none of the x values can repeat and the x values repeat therefore it is not a function

PLEASE HURRY WILL GIVE BRAINLIEST The greatest common factor of each term in the expression 20x -16xy is 4x. Which choice shows expression written as a product?PLEASE HURRY WILL GIVE BRAINLIEST

Answers

Answer:

it is the second one:

4x(5-4y)

On the first day of class, Alana skimmed the first 17 pages from each of the books
assigned in her literature class. Each assigned book has an equal number of pages. Is
this sample of the assigned reading likely to be biased or unbiased?Why?

A . biased; convenience sample
B . unbiased; represents population
C .biased; voluntary sample
D .unbiased; random sample

Answers

Answer:

A. biased; convenience sample

Step-by-step explanation:

Alana is reading the first 17 pages, which are what is most conveniently available.

The sample of the assigned reading likely to be biased and convenience sample.

What is probability?

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.

Given:

Alana skimmed the first 17 pages from each of the books

assigned in her literature class. Each assigned book has an equal number of pages.

According to given question we have

A biased estimator is one that deviates from the true population value. A biased sample can still be useful if the nature of the bias and how much of a bias exists is known.

An unbiased estimator is when a value from a sample is the same as the actual value of a population parameter.

The sample is not chosen at random, the inherent bias in convenience sampling means that the sample is unlikely to be representative of the population being studied. This undermines your ability to make generalizations from your sample to the population you are studying.

Therefore, the sample of the assigned reading likely to be biased and convenience sample.

Learn more details about probability here:

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25+25+25+25+25+25+25

Answers

Answer:

175

Step-by-step explanation:

25(7) = 175

Answer: 175

Step-by-step explanation:

25+25+25+25+25+25+25=175

25 x 7 =175

Rhonda has 3/4 of her book left to
read. If she reads another 1/4 of the
book, then how much will she have left
to read.

Answers

Answer:

none. she will be finished.

Step-by-step explanation:

3/4 + 1/4 =1

For any positive numbers a,b, and d, with b not equal to 1, log base b (a/d) = A. Log base b a * log base b d B. Log base b a + log base b d C. Log base b a - log base b d D. D * log base b a

Answers

Answer:

C. Log base b (a) - Log base b (d)

Step-by-step explanation:

In logarithm, log means index or exponent. It can be explained with following example. Consider 2^5 = 32

here index = log = 5 so you can write the log of 32 = 5

Consider 64/16 = 4

now 64 = 2^6 and 16 = 2^4

We can write log 2(64) = 6 and log2(16)=4

Now log 64/16= log 4= 2

Also log2(64)-log2(16)=6-4=2

Therefore

Log base b (a/d) = Log base b (a) - Log base b (d)

HELP WILL GIVE BRAINLIST

Answers

Answer:

 

Simplify  {4}^{2}42  to  1616.

-16+2\times -4\times -5-2\times {2}^{3}−16+2×−4×−5−2×23

 

Simplify  2\times -42×−4  to  -8−8.

-16-8\times -5-2\times {2}^{3}−16−8×−5−2×23

 

Simplify  8\times -58×−5  to  -40−40.

-16-(-40)-2\times {2}^{3}−16−(−40)−2×23

 

Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}xaxb=xa+b.

-16-(-40)-{2}^{4}−16−(−40)−24

 

Simplify  {2}^{4}24  to  1616.

-16-(-40)-16−16−(−40)−16

 

Remove parentheses.

-16+40-16−16+40−16

 

Simplify  -16+40−16+40  to  2424.

24-1624−16

 

Simplify.

8

Step-by-step explanation:

hope it helps :)

can you help me asap please

Answers

Answer:

-2, 4. -2 is x and 4 is y

Step-by-step explanation:

hope this helps!

Which of these is not a trait of cnidarians?
spicules
a mouth
stinging cells
nervous system

Answers

Answer:

A. mount

Step-by-step explanation:

Semoga bermanfaat

Which of these is not a trait of cnidarians?

spicules

a mouth

stinging cells

nervous system

Answer:

the answer is C

Step-by-step explanation:

Help me plz :((( khan academy

Answers

Answer:

[tex]x=30\\[/tex]

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

[tex]\frac{45}{27} = 1.67\\[/tex]

1.67 x 18 = 30.06

round to the nearest whoeo number = 30

Please help me and type out the answer

Answers

Answer:

The owner makes $2 in sales per customer

Note: The "Amount of sales" label of the question is phrased poorly. s could be better labeled "profit from sales" or at least "Amount made from sales", etc.

Step-by-step explanation:

If you logically think about how the answer (now that you know it) relates to the question, it should make simple sense.

i.e. if you consider the first column where $24 is made from 12 customers, and divide the $24 made by the 12 customers, you'll see that each customer spends $2.

Answer:

the owner makes 2 dollars in sales every week

Step-by-step explanation:

on the chart/graph it shows 6 new customers every week and if you want to see how much more money the owner makes off of each customer then...

subtract the first weeks number of customers from the second weeks to get the answer of 6 new customers per week as you can see on the chart/graph (this really isnt to important though)

then divide the total number of customers for 1 week by the profits made for that week to get an answer of 2 dollars for customers.

(i hope you understand because i just confused myself with my own explanation)

Points A and B have the same x-coordinates but opposite y-coordinates.
How many units away are each of the points from the y-axis?
A.3
B.4
C.6
D.7

Answers

the answer is c. Six

How many different ways can the letters of "Mississippi" be arranged.

Answers

Answer: .........34,650

Step-by-step explanation:

Answer:

Mississippi has 11 letters in it so

11 · 10 · 9 · 8 · 7 · 6 · 5 · 4 · 3 · 2 · 1 = 11! or 39,916,800

Step-by-step explanation:


A gas can holds 10 liters of gas.
How many cans could we fill with 7 liters of gas?
Include fractions of cans, if applicable.
cans

Answers

Answer:

7/10

Step-by-step explanation:

We have  liters of gas, and we need to figure out how many cans we can fill.

Hint #22 / 4

We need to divide the 7 liters by the 10 liters that each can holds.

Answer:

7/10

Step-by-step explanation:

An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms. 3/4 of this weight is metal, and the rest is wood. How much does the wood part of the sculpture weigh? (no decimals)

Answers

Answer:Weight of wood part of the sculpture  (no decimals) =4kg

Step-by-step explanation:

Weight of sculpture containing metal and wood   = 14.9 kg

weight of metal =3/4 x 14.9 kg =11.175kg

weight of wood =Entire sculpture − weight of metal

 = 14.9 kg−11.175kg

  =3.725kg

Rounding up to remove decimals  we have that Weight of wood part  =4kg

hepl will give branliest​

Answers

Answer:

1

I THINK I GOT IT OMG THAT WAS SO HARD

Answer:

z = 5

Step-by-step explanation:

[tex]\frac{4x^2y^7}{8x^3y^2} = \frac{y^z}{2x}[/tex]

It can be also written as -

[tex]\frac{2^2 \times x^2 \times y^7}{2^3 \times x^3 \times y^2} = \frac{1 \times x^0 \times y^z}{2 \times x^1 \times y^0}[/tex]

Using law of exponents , lets solve this.

[tex]=> 2^{(2-3)} \times x^{(2-3)} \times y^{(7 - 2)} = \frac{1}{2} \times x^{(0-1)} \times y^{(z-0)}[/tex]

[tex]=> 2^{-1} \times x^{-1} \times y^{5} = 2^{-1} \times x^{-1} \times y^z[/tex]

[tex]=> \frac{y^5}{2x} = \frac{y^z}{2x}[/tex]

[tex]=> y^z = y^5[/tex]

[tex]=> z = 5[/tex]

Enter a number in each box so that the expressions are equivalent. (A) 0.8 (2x + x) + 3(7 - 4.1x) = x + 21 (B) 12 1 2 (6x + 22y) = x + y (C) (3x - ) - (6x + 1) = -3x - 2 (D) 112 1 2 x + 27y = (12 1 2 x + 9y)

Answers

The questions aren't well formatted ; from the values that are observable,

Answer:

Coefficient of x = -9.9 ;

Coefficient of x = 75

Coefficient of y = 275

Step-by-step explanation:

Given :

0.8 (2x + x) + 3(7 - 4.1x) = __x + 21

0.8(3x) + 21 - 12.3x = __x + 21

2.4x + 21 - 12.3x = __x + 21

-9.9x + 21 = __x + 21

-9.9

12 1/2 (6x + 22y) = x + y

75x + 275y = x + y

Answer:

The answers are:

1.  -9.9x

2.  3x + 11y

3.  1

4.  3

5. How many times smaller is the
value of 0.486 compared to 48.6?

Answers

It is 100 times smaller or 0.486 is 1/100th of 48.6

Answer:

100 times smaller

Step-by-step explanation

48.6 / 0.486 = 100

Yesterday, Tran charged 70$ to babysit for 5 hours. If Tram charges a constant fee per hour when she babysits, which statements are correct


A. Tram charges $140 when she babysits 10 hours.

B. Tram charges $1.25 when she babysits for 9 hours.

C. Tram charges $56 when she babysits for 8 hours

D. Tram charges 20$ when she babysits for 4 hours.

E. Tram charges $14 per hour that she babysits.

D. Tram charges 7$ per hour that she babysits.

Answers

Answers:
A) Tran charges $140 when she babysits 10 hours

E) Tran charges $14 per hour that she babysits.

reasoning:

$70 divided by 5 hours to get how much she gets paid by the hour. 70 divided by 5 = $14; she charges $14/ hour. $14 times 10 hours = $140. these two statements are correct.

Answer:

A & E

Step-by-step explanation:

divide 70 by 5.

you get 14. meaning she charges $14 per hour

14 x 10 gives you 140.

Alexa invested $54,000 in an account paying an interest rate of 4% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $106,200?

Answers

Answer:17

Step-by-step explanation:

The time taken for her to reach the amount of $106,200 will be 17 years.

What is compound interest?

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

Given that:-

Alexa invested $54,000 in an account paying an interest rate of 4% compounded continuously.

The formula for calculating the compound interest continuously.

[tex]A \ = \ P e^ {rt}[/tex]

[tex]106200\ = \ 54000e^{0.04t}\\\\\\\dfrac{106200}{54000}=e^{0.04t}\\\\\\1.97\ = \ e^{0.04t}\\\\\\Ln(1.97)=Ln(e^{0.04t})[/tex]

Ln(1.97) = 0.04t

t  =   17 years.

Therefore the time taken for her to reach the amount of $106,200 will be 17 years.

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A group of friends wants to go to the amusement park. They have no more than $ 100 to spend on parking and admission. Parking is $ 8, and tickets cost $ 23 per person, including tax. Write and solve an inequality which can be used to determine x, the number of people who can go to the amusement park.

Answers

Answer:

Step-by-step explanation:

Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:

8 + 23(x) ≤ 100

8 + 23x ≤ 100

23x ≤ 100 - 8

23x ≤ 92

x ≤ 92/23

x ≤ 4

The number of people that can go to the amusement park will be at most 4

Answer:

560≥19.75x+19.25

Step-by-step explanation:

i just figured

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