Someone please help.

Someone Please Help.

Answers

Answer 1

Hi there!

[tex]f(x)+f(x+1)=4f(x)[/tex]

There are 3 parts to this equation:

f(x)

f(x+1)

4f(x)

We must first determine these three parts separately.

1) f(x)

We're given that  [tex]f(x)=3^x[/tex]:

⇒ [tex]f(x)=3^x[/tex]:

2) f(x+1)

Now, we must find f(x+1). To do so, add 1 to x in the original function [tex]f(x)=3^x[/tex]:

⇒ [tex]f(x+1)=3^x^+^1[/tex]

3) 4f(x)

To find 4f(x), multiply the original function [tex]f(x)=3^x[/tex] by 4:

[tex]4f(x)=4*3^x[/tex]:

4) Put it all together

Now, plug each of the three parts into the equation [tex]f(x)+f(x+1)=4f(x)[/tex]:

[tex]f(x)+f(x+1)=4f(x)[/tex]

[tex]3^x+3^x^+^1=4*3^x\\3^x+3^x*3=4*3^x[/tex]

Factor the left side

[tex]3^x*(1+3)=4*3^x[/tex]

Divide both sides by 3^x

[tex]1+3=4\\4=4[/tex]

Because this equation is true, [tex]f(x)+f(x+1)=4f(x)[/tex] is therefore true.

I hope this helps!


Related Questions

what is the quotient of 5472 and 81?
Enter your answer by filling in the boxes.

[ ] R [ ]

Answers

Answer:

67

Step-by-step explanation:

Division:-

[tex]\sf\Large\qquad\quad67\\ \begin{array}{cc} \cline{2 - 2}\sf 81 )&\sf \ 5472\\&\sf -487 \downarrow\\ \cline{2-2}& \sf \ \ \ \ 602\\ &\sf \ - 567 \\ \cline{2-2} & \sf \ \035 \\ \cline{2-2} \end{array}\\\\\\ Divisor \rightarrow 81 \\ \\ Quotient \rightarrow 67\\\\Remainder \rightarrow 35[/tex]

Answer:

[69] R [45}

Step-by-step explanation:

dont worry i got it right guys i did this bc i know there is people like me looking for the answer to this!

8x-4(x+8)=8. what's the answer, i need the work as well

Answers

Answer:

x=10

Step-by-step explanation:

8x-4x-32=8

4x=40

x=10

Answer:

x = 10

Step-by-step explanation:

8x-4(x+8)=8

8x - 4x - 32 = 8

4x - 32 = 8

4x = 40

x = 10

(15xy+30yz)/15y bhoomika sis answer​

Answers

Answer:

x + 2z

Step-by-step explanation:

[tex]\frac{15xy+30yz}{15y}[/tex] ← divide each term on the numerator by 15y

= [tex]\frac{15xy}{15y}[/tex] + [tex]\frac{30yz}{15y}[/tex]

= x + 2z

HELP ASAP!!!

The line (y-1)=(2/3)(x+1) contains point (a,-3).

What is the value of a? Show
your work.​

Answers

[tex]\\ \sf\Rrightarrow y-1=\dfrac{2}{3}(x+1)[/tex]

[tex]\\ \sf\Rrightarrow -3-1=\dfrac{2}{3}(a+1)[/tex]

[tex]\\ \sf\Rrightarrow -4=\dfrac{-2(a+1)}{3}[/tex]

[tex]\\ \sf\Rrightarrow -2(a+1)=-4(3)[/tex]

[tex]\\ \sf\Rrightarrow -2(a+1)=-12[/tex]

[tex]\\ \sf\Rrightarrow a+1=\dfrac{-12}{-2}[/tex]

[tex]\\ \sf\Rrightarrow a+1=6[/tex]

[tex]\\ \sf\Rrightarrow a=6-1[/tex]

[tex]\\ \sf\Rrightarrow a=5[/tex]

22) solve for x
A) 7
B) -9
C) -10
D) 10

Answers

B

Step-by-step explanation:

AM on total = 1/2

so (x+19)/(x+29)=1/2

2x +38 =x + 29

x=-9

f(x)=2x^2-5;find when f(x)=-7​

Answers

Answer:

x=i or no solution exists depending on the user's grade

Step-by-step explanation:

f(x) = 2x^2-5

-7 = 2x^2-5

-2 = 2x^2, x^2=-1, x=i

Answer:

±i = x

Step-by-step explanation:

f(x)=2x^2-5;

f(x)=-7​

-7 = 2x^2 -5

Add 5 to each side

-7+5 = 2x^2 -5+5

-2 =2x^2

Divide by 2

-2/2 =2x^2 /2

-1 = x^2

Take the square root of each side

sqrt(-1) = sqrt(x^2)

±i = x

Ray's birthday is 8 more than four times the number of days away from today than Jane's birthday. If Ray's birthday is 24 days from today, how many days untill Jane's birthday?

Answers

Answer:

4 days

Step-by-step explanation:

Since it is 8 more than 4 times, take 24 because that is how many days away rays birthday is and subtract 8. So now we have 24-8 which is 16. Now divide 16 by 4 to get 4 which is how many days away janes birthday is. So the answer is 4 days.

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = -4

Step-by-step explanation:

-2(3x - 4) - x - 3 = 33

~Simplify

-6x + 8 - x - 3

-7x + 5 = 33

~Subtract 3 to both sides

-7x = 28

~Divide -7 to both sides

x = -4

Best of Luck!

Answer:

x = -4

Step-by-step explanation:

-2(3x - 4) - x - 3 = 33

solve the brackets first

-6x + 8 -x -3 = 33

-6x - x + 8 - 3 = 33

-7x + 5 = 33

-7x = 33-5

-7x = 28

x = 28/ -7

x = -4

help me pls pls pls pls

Answers

[tex] \frac{4c}{h} - k[/tex]

Step-by-step explanation:

well that is the answer

Answer:

s = (4C/h) - k

Step-by-step explanation:

C = ((s + k)/4)h

multiply by 4/h

4C/h = s + k

subtract k

s = (4C/h) - k

PL help meeeeeee!!! Im stuck

Answers

I believe its asking to label each ratio/fraction from least to greatest.
ANSWER: 1st,4th,3rd,2nd
Explanation: 1st one) 4/0.5=8
2nd)3/30=0.1
3rd)4.5/38=0.118
4th)2/15=0.133

hcf of x^2 + 2x - y^2 + 2y​

Answers

(x^2-y^2)+(2x+2y)= (x+y).(x-y) +2.(x+y) = (x+y).(x-y+2)

Answer:

[tex](x + y) \times (x - y + 2)[/tex]

Step-by-step explanation:

[tex]x^{2} + 2x - {y}^{2} + 2y[/tex]

➡️ [tex](x - y) \times (x + y) + 2(x + y)[/tex]

➡️ [tex](x + y) \times (x - y + 2)[/tex]

88 Decigrams equals 8.8 what

Answers

Answer:

8.8 grams

...................

The required 88 Decigrams equals 8.8 grams.

Given that,
To determine 88 Decigrams equals 8.8.

What is standard measurement?

All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.

What is the fraction?

Fraction is defined as the number of compositions that constitutes the Whole.

here,
10 decigram = 1 gram
88 decigram = 8.8 gram

Thus, the required 88 Decigrams equals 8.8 grams.


Learn more about measurements here:

https://brainly.com/question/4725561

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The circumference of a circular garden is 113.04 feet. What is the radius of the garden? Use 3.14 for pie and do not round your answer.

Answers

Answer:

18 ft

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

113.04 = 2 ( 3.14) * r

113.04 = 6.28 r

Divide each side by 6.28

113.04/6.28 = 6.28r/6.28

18 =r

Here is a `5`-by-`8` grid.



Create a design so that there are `3` times as many unshaded squares as there are shaded squares.

Answers

x = number of shaded squares

3x = number of unshaded squares

This is because there are 3 times as many unshaded squares compared to shaded

unshaded = 3*(shaded)

Since there are 5*8 = 40 squares overall, this means,

shaded+unshaded = 40

x+3x = 40

4x = 40

x = 40/4

x = 10

There are 10 shaded squares and 3x = 3*10 = 30 unshaded squares.

So you'll shade in 10 squares in any fashion you prefer.

Write a proportion for the situation, and then solve.
1. A test is worth 36 total points, and you want to get an 87% on it. How many
points do you need to score?

Answers

I think it should be 31.32 points, but 32 if you’re not supposed to count partial points and it has to be a whole number.

evaluate the expression when y= -2 and z = -5
2z/y

Answers

Answer:

5 is the answer

Step-by-step explanation:

[tex] \frac{2 z}{y } \\ = \frac{2 \times ( - 5)}{ - 2} \\ = \frac{ - 10}{ - 2} \\ = 5 \: ans.[/tex]

when \(y = -2\) and \(z = -5\), the value of the expression \(2z/y\) is \(5\).

How to evaluate the expression when y= -2 and z = -5 2z/y

To evaluate the expression \(2z/y\) when \(y = -2\) and \(z = -5\), follow these steps:

1. Substitute the values of \(y\) and \(z\) into the expression:

\(2z/y = 2(-5) / (-2)\)

2. Perform the calculations:

\(2z/y = -10 / (-2) = 5\)

So, when \(y = -2\) and \(z = -5\), the value of the expression \(2z/y\) is \(5\).

Learn more about expression at https://brainly.com/question/723406

#SPJ3

Algebra errors to avoid

Answers

Answer:

see image

Step-by-step explanation:

in the diagram above length of Ps= length SQ , and angle SQR=112°​

Answers

Sorry you’ll need to repost this question with an image attached

the product of 9 and 4 more than x

Answers

Yes i hope u have a good day and get the answers correctly

Answer:

36-x

Step-by-step explanation:

Hi Monica

Karl drove for 4 hours. For part of the trip he drove at 50 miles per hour. For the rest of the trip he drove at 100 miles per hour.

All together he drove 250 miles.

Solve this equation for h to find out how many hours he drove at 50 miles per hour.

250 = 50h + 100(4 - h)

Answers

Answer:

3 hours

Step-by-step explanation:

250 = 50h + 100(4 - h)

250 = 50h + 400 - 100h

250 = -50h + 400

-150 = -50h

h = 3

How many degrees in a circle

Answers

A circle has 360 degrees

Answer:

360is  the answer

Step-by-step explanation:

Can someone please help me!

Answers

Answer:

1/6 is the fobability of a polygon

i believe the answer is 1/6?

solve for x
8x = y
PLEASE HELPPPPPP

Answers

Hi ;-)

[tex]8x=y \ \ /:8\\\\\boxed{x=\frac{y}{8}}[/tex]

I think it’s x= y/8
Have a nice day:)


When multiplying two negative numbers, what kind of number does one always get for an answer?

Answers

Answer:

a positive number

Step-by-step explanation:

-(-) = +

for example, -1 * -1 = 1

When multiplying negative numbers u get a positive number

use the following list to find the average or mean, the median, the mode, and the range 10, 15, 5, 8, 6, 6, 2

Answers

Answer:

Mean - 7.43

Median - 6

Mode - 8

Range - 13

Step-by-step explanation:

To find the mean/average, add up all the numbers and divide the sum by the # of data points.  (ex. you have 7 numbers, so you divide the sum of the numbers by 7.)

The median of a set of data is the middle number of ascending numbers in the data.  If there was an even number of data points you would have to add the 2 middle numbers and divide by 2.

The mode is the number that appears most frequently in the data set.

To find the range, just subtract the lowest number in the data set from the greatest number.

Answer:

mean= 7.4, median = 6, mode =6, range = 13

Step-by-step explanation:

mean = 10 + 15 + 5 + 8 + 6 + 6 + 2 ÷ 7

= 52 ÷ 7

= 7.4

median= 2, 5, 6, 6, 8, 10 , 15

6

median is the middle number from ascending order

mode = 6

mode is the number that occurs the most

range = 15 - 2

13

range is the different between the largest and smallest number

Brainliest is appreciated

Given the function f(x) = 4x+2, what is the value of f(3)?

Answers

Answer: f(3) = 14

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given function

f(x) = 4x + 2

Substitute value of the x into the expression

f(3) = 4(3) + 2

Simplify by multiplication

f(3) = 12 + 2

Simplify by addition

f(3) = [tex]\boxed{14}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Which Experession Is Equivalent To 13-(21)

Answers

13-21=-8
are there any other expressions that you need to be solved?

Math geometry 7th grade (20 points)

Answers

Answer:

semoga jawapan ini dapat membantu

The students must take part in at least one of the activities among the extra curricular activities in a school. Out of 40 students of a class, 25 students take part in debate and 30 students take part in quiz contest, then i. show the above information in a Venn diagram. ii. how many students have taken part in both activities? iii. how many students have taken part in only one activity?​

Answers

Answer:

Total number of students = 40Debate = 25 studentsQuiz contest = 30 students

i)

Sum of two parts:

25 + 30 = 55

Students taking part in both parts:

55 - 40 = 15

ii)

Debate only:

25 - 15 = 10

Quiz contest only:

30 - 15 = 15

Venn diagram will look like this:

10            15        15Debate - both - quiz contest

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = -4

Step-by-step explanation:

[tex]-8x+3=-6x+11\\\\-2x+3=11\\\\-2x=8\\\\x=-4[/tex]

Answer:

x = -4

Step-by-step explanation:

-8x + 3 = -6x + 11

transpose

-8x +6x = 11 - 3

-2x = 8

x = 8/-2

x = -4

Other Questions
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