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!
(15xy+30yz)/15y bhoomika sis answer
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
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?
Answer:
Total number of students = 40Debate = 25 studentsQuiz contest = 30 studentsi)
Sum of two parts:
25 + 30 = 55Students taking part in both parts:
55 - 40 = 15ii)
Debate only:
25 - 15 = 10Quiz contest only:
30 - 15 = 15Venn diagram will look like this:
10 15 15Debate - both - quiz contesthelp me pls pls pls pls
[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
22) solve for x
A) 7
B) -9
C) -10
D) 10
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
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
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.
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
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)
Answer:
3 hours
Step-by-step explanation:
250 = 50h + 100(4 - h)
250 = 50h + 400 - 100h
250 = -50h + 400
-150 = -50h
h = 3
When multiplying two negative numbers, what kind of number does one always get for an answer?
Answer:
a positive number
Step-by-step explanation:
-(-) = +
for example, -1 * -1 = 1
hcf of x^2 + 2x - y^2 + 2y
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]
Given the function f(x) = 4x+2, what is the value of f(3)?
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)
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.
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?
the product of 9 and 4 more than x
Answer:
36-x
Step-by-step explanation:
Hi Monica
88 Decigrams equals 8.8 what
Answer:
8.8 grams
...................
The required 88 Decigrams equals 8.8 grams.
Given that,
To determine 88 Decigrams equals 8.8.
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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HELP ASAP!!!
The line (y-1)=(2/3)(x+1) contains point (a,-3).
What is the value of a? Show
your work.
[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]
Algebra errors to avoid
Answer:
see image
Step-by-step explanation:
Math geometry 7th grade (20 points)
Answer:
semoga jawapan ini dapat membantu
what is the quotient of 5472 and 81?
Enter your answer by filling in the boxes.
[ ] R [ ]
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!
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?
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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
8x-4(x+8)=8. what's the answer, i need the work as well
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
Can someone please help me!
Answer:
1/6 is the fobability of a polygon
solve for x
8x = y
PLEASE HELPPPPPP
Hi ;-)
[tex]8x=y \ \ /:8\\\\\boxed{x=\frac{y}{8}}[/tex]
evaluate the expression when y= -2 and z = -5
2z/y
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/yTo 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
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How many degrees in a circle
Answer:
360is the answer
Step-by-step explanation:
in the diagram above length of Ps= length SQ , and angle SQR=112°
use the following list to find the average or mean, the median, the mode, and the range 10, 15, 5, 8, 6, 6, 2
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
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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
PL help meeeeeee!!! Im stuck