I suppose you just have to simplify this expression.
(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)
Divide through every term by the lowest power of 2, which would be x + 1 :
… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)
Recall that nª / nᵇ = nª⁻ᵇ, so that we have
… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)
… = (2¹ - 2²) / (2⁰ - 2¹)
… = (2 - 4) / (1 - 2)
… = (-2) / (-1)
… = 2
Another way to get the same result: rewrite every term as a multiple of y = 2ˣ :
… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)
… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)
… = (4y - 8y) / (2y - 4y)
… = (-4y) / (-2y)
… = 2
Start and arguement in the comments LOL
Answer:
Bro u need to shu.t up all ready
Step-by-step explanation:
-11y = 6(2+1) - 13y
4y - 24 = c(z – 1)
For what value of c does the above system of linear equations in the variables y and z have
infinitely many solutions?
Answer:
12
Step-by-step explanation:
Let's put the equations in standard form. For the first equation, we have:
−11y=6(z+1)-13y
2y−6z=6
y−3z=3
The second equation is:
4y−24=c(z−1)
4y−cz=24−c
If we multiply the first equation by 4, we get:
4y-12z=12
Comparing the two equations, we see that if c=12, both equations will be the same and there will be infinitely many solutions.
The correct value of c is 12.
Nakato Nobuki, a Japanese artist, intends to withdraw $ 24,000.00 from his savings at the end of 5 years. Mr. Nobuki deposits $ 1,500.00 in savings annually and today has a balance of $ 8,000.00. What should be the savings interest rate for Nobuki to achieve his goals?
Answer:
The savings interest rate of Nakato Nobuki is 3 %
Step-by-step explanation:
Given;
Final amount of Nakato Nobuki, A = $ 24,000.00
time period of his investment, t = 5 years
principla amount, P = $ 1,500.00
The savings interest rate of Nakato Nobuki can be calculated on a simple interest basis.
A = P(1 + rt)
r is the savings interest rate
Substitute the given values and solve for r
24,000 = 1,500(1 + 5r)
24,000 = 1,500 + 7,500r
7,500r = 24,000 - 1,500
7,500r = 22,500
r = 22,500/7,500
r = 3 %
Therefore, the savings interest rate of Nakato Nobuki is 3 %
what can you double and then add -6 to get -16
Answer:
- 5
Step-by-step explanation:
let the number be n then double is 2n , so
2n + (- 6) = - 16
2n - 6 = - 16 ( add 6 to both sides )
2n = - 10 ( divide both sides by 2 )
n = - 5
The number is - 5
The sum of the
First n terms of a linear
sequence is
ce is
[tex]2 - 7 {n}^{2} [/tex]
, find the second term
Answer:
-21
Step-by-step explanation:
Given the sum of the first n term as;
Sn = 2 - 7n^2
The nth term is expressed as;
Tn = Sn - Sn-1
Sn-1 = 2 - 7(n-1)^2
Tn = 2 - 7n^2 - (2 - 7(n-1)^2)
Tn = -7n^2 + 7(n-1)^2
To get the second term, we will substitute n = 2 into the resulting expression
T2 = -7(2)^2 + 7(2-1)^2
T2 = -7(4)+7(1)^2
T2 = -28 + 7
T2 = -21
Hence the second term of the sequence is -21
Evaluate:
48 ÷ 4 + 8 + 2²
30
18
24
Answer:
24
Step-by-step explanation:
48/4+8+2^2
12+8+2*2
20+2*2
20+4
24
Answer:
24
Step-by-step explanation:
48 ÷ 4 + 8 + 2² = 24
Expression:
A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2 + 2 = 4
. In a school 58of the students are boys. If there are 240 girls. Find the total number students in the school
is this correct (random words because brainly is mhm
Answer: this is correct
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
The transformation of the shape is most definitely correct.
Who watching temptation island, The oval and Ruthless tonight?
Answer:
MMEEEE but im SOOO behinnnd
Step-by-step explanation:
Answer:
Not me sorry.
Step-by-step explanation:
What is the distance from -36 to 36 on a number line?
Answer:
The distance is 20
Step-by-step explanation:
What is the first step to solving the equation 12 - y = 18?
Answer:
subtract 12 from 18
Step-by-step explanation:
Answer:
No real "first step" as there are many ways to do it. If I were to do it, I would add the y to the other side to make it positive. This thus eliminates any negative variables in the equation
Step-by-step explanation:
ez
Encontrar las coordenadas del centro y la longitud del radio de la circunferencia 9x²+9y²+18x-12+10=0
Answer:
Step-by-step explanation:
The standard form of equation of a circle is expressed as;
x^2+y^2+2gx+2fy+c = 0
The centre is at (-g, -f)
Given the equation'
9x²+9y²+18x-12+10=0
Divide through by 9
9x²/9+9y²/9+18x/9-12y/9+10/9=0
x^2+y^2+2x-4/3 y + 10/9 = 0
Compare
2gx = 2x
g = 1
2fy = -4/3 y
2f = -4/3
f = -4/6
f = -2/3
The centre is (-(-2/3), -1) = (2/3, -1)
for the radius
r = √f²+g²-c
r =√(-2/3)²+1²-10
r =√4/9 - 9
r = √(4-81)/9
r = √-77/9
Math please help give u brainlist
Answer:
C
Step-by-step explanation:
(0,-4) (-4, -3)
-3- -4 / -4 -0 = 1/-4 is the slope
so is C
Answer:
The answer is B.
Step-by-step explanation:
slope-intercept form is y=mx + b with m being slope and b being y-intercept. slope is change in y over change in x, and in this situation the change in y is 1 and the change in x is 4. so, slope = 1/4. so now our equation is y=1/4x+b. now we have to find the y-intercept, which in this graph is -4. so, the equation is y=1/4x+-4. Hope this helps!
pls help i will rate u 5 stars and possibly mark u brainless HELP PLS.
Write an integer to match the following descriptions. a. A debit of $40 b. A deposit of $225 c. 14,000 feet above sea level d. A temperature increase of 40°F e. A withdrawal of $225 f. 14,000 feet below sea level
Glee
Hehehejdjjdhchchhdhd
What is the range of the function shown in the graph?
у
A
8
6
4
2
-8
f
- 2
X
4
6
8
-2
-4
-64
-8-1
Answer:
A
Step-by-step explanation:
The range of the given function from the given graph are: all values of y that are greater than or equal to -3. Therefore, the correct option is option D.
What is range of function?It is seen to be best practice to define the word "range" the first time it appears in a book or article because it might have several different meanings. When the word "range" is used in older literature, it frequently refers to what is today known as the codomain.
If more recent texts use the phrase "range" at all, they typically do so to refer to what is now known as the image. Several contemporary novels shouldn't use the term "range" at all to avoid any misunderstandings.
A function's range is the set of each of its potential outputs1,2,3,4. That's the output that the function generates when all of its inputs are used3,5. The range of the given function from the given graph are: all values of y that are greater than or equal to -3.
Therefore, the correct option is option D.
To know more about range of function, here:
https://brainly.com/question/29051369
#SPJ7
Your question is incomplete but most probably your full question was,
What is the range of the function shown in the graph?
A car is purchased for £11 500 In its first year, the value of the car will depreciate by 15%. Each year after that, the value of the car will depreciate by 10%. What is the value of the car at the end of 3 years?
Answer:
Value of the car at the end of 3 years is £7917.75
Step-by-step explanation:
The car is purchased for £11500.
In the first year, 15% depriciation.
So, depreciation on first year =11500 *[tex]\frac{15}{100}[/tex] =1725
After first year depreciation the value of car =11500-1725 =£9775
Now, second year depreciation is 10%
So, 10% of 9775 =0.10*9775 =977.5
Value of car after 2 years = 9775 -977.5 =8797.5
Now, for third year depreciation is 10%.
So, depreciation on 3 year = 10% *8797.5
=0.10*8797.5
=879.75
So, value of car after 3 years = 8797.5 -879.75 =£7917.75
Owen bought 9 chicken wings for $15.30. What was the cost of the wings, in dollars per wing?
Answer:
1.70
Step-by-step explanation:
15.30 ÷ 9 = 1.70
1.70 dollars per chicken wing
I hope this helps
Can someone pls help me asap!!!
Answer:
balloons
Step-by-step explanation:
to make it easier,there are only four tradic colors combination on basic color wheels Red,Yellow,Blue,
AABC = AGHL Complete the congruence statement AB =
Answer:
AB = AH
Step-by-step explanation:
Hope This Helps!!
Identify two segments that are marked congruent to each other on the diagram below. ANSWER CORRECTLY !!!!!!!!!! WILL
MARK BRIANLIEST !!!!!!!!!!! (three capital letters each)
Answer:
IM and JM
Step-by-step explanation:
They both have congruency marks that correspond to each other, indicated by the three short lines in the middle of each.
The chess club has a budget of at least $300 that the members can spend for the field trip. There are 20 people in the chess club. They get a discount of $60 for transportation for the field trip. What is the minimum that each member
of the chess club can spend on the trip?
Answer:
$12
Step-by-step explanation:
We are told that there are 20 people in the chess club and each got a discount of $60 for transportation on the field trip.
Let the amount spent by each member is x
Since there are 20 of them and the budget is at least $300 and they get a discount of $60, it means that;
20x ≥ 300 - 60
20x ≥ 240
Divide both sides by 20 to get;
x ≥ 12
Thus, minimum amount each member can spend is $12.
A square playground has an area of 221 ft2. What is the approximate length of each side of the playground? Round your answer to the nearest foot.
Does the table below represents a linear function why or why not
Answer:
No, it's not linear function.
Step-by-step explanation:
The x value repeatedly adds 3.
So far its a linear function.
If you look at the y value, it does NOT have a pattern, therefore that means it is NOT a linear function.
Simplify! (The lesson is Exponents and Polynomials)
Answer:
a^4b^3/2
Step-by-step explanation:
Answer:
the simplify version is a^16 b^3
i need help this is dude tomorrow
Answer:
c. is the correct answer
what is another to describe an equilateral triangle . PICK BELOW
Obtuse, Right, Acute, Scalene
Answer:
Acute angle
Step-by-step explanation:
because it less than 90 degree so it possible to be acute triangle
Last month, when Joe took his puppy to the veterinarian, the puppy weighed 5.5 pounds. This month, the puppy weighed 7.15 pounds. What is the percentage increase of the weight of the puppy?
Answer:
50
%
increase
Step-by-step explanation:
To calculate the percent change, whether it is an increase or decrease, you can use the same method:
change
original
×
100
%
The change in the puppy's weight
=
7.8
−
5.2
=
2.6
pounds
2.6
5.2
×
100
%
=
50
%
increase
Notice that
2.6
is half of
5.2
, so an increase of
50
%
is correct.
HELPPPP MEE PLEASEEE!!!
Answer:
She made 80 total cookies because 25% of 64 is 16. 64 plus 16 is 80. You are adding the original amount(60) to 25%(16).
The area of a bookmark is 140 square centimeters. The perimeter is 54 centimeters. What are the dimensions of the bookmark?
Answer:
See explanation
Step-by-step explanation:
Recall that all the sides of the square are equal
Hence;
Area of a rectangle= l * b ------- equation 1
Perimeter of a rectangle = 2(l + b)----------equation 2
Area of the rectangle = 140 square centimeters
140 = lb
l = 140/b
Perimeter of the rectangle = 54 centimeters
substituting l = 140/b into equation 2
54 = 2(140/b + b)
Multiplying through by b
54b = 280 + 2b^2
Hence;
2b^2 - 54b + 280 = 0
Solving the quadratic equation
b=20 or b=7
substituting b=20 or b=7 into l = 140/b
l = 140/20 or l = 140/7
l = 7 or 20
THEREFORE;
b=20 cm or b=7 cm
l = 7cm or 20cm