The recursive formula will be equal to f(n + 1) = –2 f(n).
The complete question is given below:-
Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?
3, –6, 12, –24, 48, …
f (n + 1) = –3 f(n )
f (n + 1) = 3 f(n )
f (n + 1) = –2 f(n )
f (n + 1) = 2 f(n)
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The recursive formula for this sequence is calculated as we will put the different values of n to find the values of the function in the series.
n = 1
f(n) = 3
n = 2
f(2) = -2 (3) = -6
n = 3
f(3) = -2 (-6) = 12 and so on
Therefore the recursive formula will be equal to f(n + 1) = –2 f(n).
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Write in the form ( x + p ) ^2 + q x^ 2 − 10 x
Answer:
(x - 5)² - 25
Step-by-step explanation:
using the method of completing the square
x² - 10x
add/subtract ( half the coefficient of the x- term )² to x² - 10x
x² + 2(- 5)x + 25 - 25
= (x - 5)² - 25
How many 4 digit numbers consisting of only the digits 2,4,6 and 8 are divisible by 4
Answer:
2
Step-by-step explanation:
4 and 8
Answer:
digits used once: 12repeated digits: 128Step-by-step explanation:
In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:
the ones digit is an even multiple of 2, and the tens digit is eventhe ones digit is an odd multiple of 2, and the tens digit is odd.We must count the ways these conditions can be met with the given digits.
__
Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.
digits used onceIf the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.
repeated digitsEach of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.
please help with this thank you!
Answer:
3
Step-by-step explanation:
18-15=3
Answer:
first option, 3
Step-by-step explanation:
The interquartile range is the difference between Q3 and Q1.
Q1 is the lower bound of the box = 15
Q3 is the upper bound of the box = 18
Q3 - Q1
= 18 - 15
= 3
David bought a computer that was 25% off the regular price of $1,080. If an8% sales tax was added to the Cost of the computer what was the total price David pay for
Answer:
$878.80
Step-by-step explanation
Multiply 1080 by 0.25 for the 25% which then should equal $810. 810 times 0.08 would equal 64.8. Add the 64.8 to the 810 and it should be $874.80. Hope it helps and is not wrong. :)
james has decided to start saving for a cruise over the summer. his money is currently in the local bank modeled by the function sx equals 102. he is able to do work around the neighborhood to earn extra money that the function would be a x equals eight times x +2 where x is measured in hours. explain how james can we create a function to combine the two and describe any simplification that can be done
In the scenario above, James can we create a function to combine the two by f ( x ) = 8 x + 118.
What is the simplification about?In the question above, to be able to create a function, we have to show that;
s ( x ) = 102
a ( x ) = 8 ( x + 2 )
So, a function that combines the two will be:
f ( x ) = s ( x ) + a ( x ) = 102 + 8 ( x + 2 ) =
= 102 + 8 x + 16
Therefore f ( x ) = 8 x + 118
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PLEASE HELP!!!!!!!!!
Answer:
CE = 4.6 ft
Step-by-step explanation:
(a)
given 2 secants drawn from an external point to the circle , then
the product of the external part of one secant and the entire secant is equal to the product of the other secant's external part and that entire secant, that is
BE × BC = AB × DB
(b)
substituting given values into the equation
BE × 10 = 3 × 18
10 BE = 54 ( divide both sides by 10 )
BE = 5.4 ft
then
CE = CB - BE = 10 - 5.4 = 4.6 ft
Based on the diagram, which expresses all possible
lengths of segment AB?
OAB = 25
27
OAB = 85
OAB< 27 or AB > 81
MEDA
The expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
Properties of a triangleFrom the question, we are to determine the expression that expresses all possible lengths of segment AB
From one of the properties of a triangle,
The third side of any triangle is greater than the difference of the other two sides; and the third side of any triangle is lesser than the sum of the two other sides
Then, we can write that
AB < 27 + 54
and
AB > 54 - 27
Putting the two inequalities together, we get
54 - 27 < AB < 27 + 54
27 < AB < 81
Hence, the expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
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!!!20 POINTS AND BRAINLIEST!!!PLEASE SHOW WORK!!
Describe the graph of y= 3x+14/x-2. Define the horizontal and vertical asymptotes and several points on either side.
The vertical asymptotes are x = 2 and horizontal asymptotes are y = 3 and the parent graph is shifted two to the right and three to the top.
What is hyperbola?It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
We have a graph of a hyperbola:
[tex]\rm y=\dfrac{\left3x+14\right}{x-2}[/tex]
The above equation represents the hyperbola.
We can write the above equation as:
[tex]\rm y=3+\dfrac{\left20\right}{x-2}[/tex]
The vertical asymptotes: x = 2
The horizontal asymptotes: y = 3
Thus, the vertical asymptotes are x = 2 and horizontal asymptotes are y = 3 and the parent graph is shifted two to the right and three to the top.
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In a certain week, the time Lisa spent on
sport was 3 hours less than twice the time
she spent doing her school homework. The
time she spent on reading was of the time
she spent doing her school homework. The
total time she spent on these three
activities was 30 hours in that week. Form
an equation and solve it to find the amount
Answer:
2M + 3 hrs
Step-by-step explanation:
Lisa spent doing her mathematics homework = M hrs
the amount of time spent watching television was 3 hours more than twice the time she spent doing her mathematics homework.
lisa spent on watching television = 2M + 3 hrs
Total time spent on these two activities = M + 2M + 3
= 3M + 3 hrs
3 M + 3 = 30
=> 3M = 27
M = 9
Vill all three students complete a sign at the same time? Explain your
no
has 48 chocolate chip cookies, 64 vanilla cookies, and 100 raisin cookies for a
ale. He wants to make bags that have all three cookie flavors and the same
er of each flavor per bag.
ow many bags can he make without having any cookies left over?
To identify the most efficient model for a windmill, Gandalf Engineering Company designs the windmill shown. The design consists of four right triangles arranged equally around point O such that point O is the midpoint of BF¯¯¯¯¯ and DH¯¯¯¯¯¯.
Deductive Reasoning is the practice of arriving at a mathematical conclusion by simply analyzing the facts using the knowledge of the related concepts.
What is the proof that ∠A ≅ ∠E?Looing at ΔOAB and ΔOEF
It is clear that
OB = OF (O is the midpoint)
∠OBA = ∠OFE = 90°
Therefore
∠AOB = ∠EOF (Vertically Opposite Angles)
⇒ ΔOAB ≅ ΔOEF and
∠ A ≅ ∠E.
QED
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find the equivalent expression of 2 to the power of 4
Answer:
16
Step-by-step explanation:
2^4=2*2*2*2=16
Answer:
16
Step-by-step explanation:
2^4=2*2*2*2=16
2 raise to the power of 4, which means 2*2*2*2
I need help, please. I don’t understand
Answer:
60%
Step-by-step explanation:
So, this question is saying the bowls can be between a diameter of 6.95 and 7.05
Box 1, 3 and 5 are in this margin.
Box 2 and 4 are not.
3/5 boxes can be included.
3/5 is 6/10
6/10 is 60%
NEED HELP ASAP, PLEASE ANSWER THIS
Answer:
Given units of measures of volume:
mm³ = millimeters cubedcm³ = centimeters cubeddm³ = decimeters cubed ⇒ 1 dm³ = 1 literm³ = meters cubed ⇒ 1 m³ = 1000 litersUnits of measure:
mm < cm < dm < m1000 mm = 100 cm = 10 dm = 1 m1. Water in a rectangular pool → m³
2. an ice cube before it melts → cm³
3. a dice → mm³
4. a blackboard eraser → cm³
5. oil in a rectangular box → dm³
To convert liters to cubic meters, divide by 1000:
⇒ 6700 L³ = 67000 L = 6700 ÷ 1000 = 6.7 m³
To convert liters to cubic centimeters, multiply by 1000:
⇒ 28 L³ = 28 L = 28 × 1000 = 28,000 cm³
PLEASE HELP ILL MAKE YOU THE BRAINIEST what is the area of the regular polygon
The area of a regular polygon is one-half the product of its apothem and its perimeter. Often the formula is written like this: Area=1/2(ap), where a denotes the length of an apothem, and p denotes the perimeter.
Step-by-step explanation:
#Hopeithelps
Find the following integrals
[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]
[tex] \sf x - \frac{4}{x} + C[/tex]
Step-by-step explanation:
[tex] \sf \longmapsto \int \frac{ {x}^{2} + 4 }{ {x}^{2} }dx \\ \\ \\ \sf \longmapsto \int \frac{ {x}^{2} }{ {x}^{2} } dx + \int \frac{4}{ {x}^{2} } dx \\ \\ \\ \sf \longmapsto \int 1dx + 4 \int \frac{1}{ {x}^{2} } dx \\ \\ \\ \sf \longmapsto x + 4( \frac{{x}^{ -2 + 1}}{ -2 + 1} ) + C \\ \\ \\ \boxed{ \longmapsto x - \frac{4}{x} + C} [/tex]
3D TRIGONOMETRY PLS HELP ME HELP
The dual bar chart shows the hair colour of boys and girls in a year group.
What fraction of the red haired students are boys?
Give your answer in its simplest form
The fraction of the red haired students are boys will be 2 / 5.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
The dual bar chart shows the hair colour of boys and girls in a year group.
The total number of the boys and girl will be
Total = 6 + 9
Total = 15
Then the fraction of the red haired students are boys will be
⇒ 6 / 15
⇒ 2 / 5
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Complete the equivalent equation for –7x – 60 = x2 + 10x.
(x +
)(x +
) = 0
By algebraic handling and factoring, we conclude that the equivalent equation for the expression - 7 · x - 60 = x² + 10 · x is (x + 5) · (x + 12) = 0.
How to determine the factor form of the given equation
In this question we have a quadratic function which must be factored by algebraic handling:
- 7 · x - 60 = x² + 10 · x
x² + 10 · x + 7 · x + 60 = 0 Compatibility with addition/Modulative property
x² + 17 · x + 60 = 0 Definition of addition
(x + 5) · (x + 12) = 0 x² + (- a - b) · x + a · b = 0/Result
By algebraic handling and factoring, we conclude that the equivalent equation for the expression - 7 · x - 60 = x² + 10 · x is (x + 5) · (x + 12) = 0.
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evaluate the exppresion 14x-11y if x=4 and y=3
identify the slope and y intercept of the function y = - 8x + 1
Answer:
Slope: -8
Y intercept: (0,1)
Step-by-step explanation:
^^^^
Answer:
[tex]\star\mathtt{Ans.\:\#1:\:Slope:-8}[/tex]
[tex]\star\mathtt{Ans.\:\#2:\:y\:intercept:\:1}[/tex]
Step-by-step explanation:
Hi student, let me help you out.
................................................................................................................
First note that the equation we are working with is in slope intercept form. Do you remember the slope intercept form equation? It's [tex]\mathtt{y=mx+b}[/tex].
In the slope intercept form equation, "m" denotes "slope" and "b" denotes "y intercept".
Looking back at our equation, let's work out the slope & y intercept.
Let's put these two equations together:
[tex]\mathtt{y=mx+b}[/tex]
[tex]\mathtt{y=-8x+1}[/tex]
See what I mean? The y intercept of this equation is 1 and the slope is -8.
Hope this helped you out! Ask in comments if any queries arise.
Best wishes from "reflect"!
[tex]\star\bigstar\underline{\overline{\overline{\underline{\textsf{Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]
[tex]\underline{\rule{300}{6}}[/tex]
The mean number of stereos sold per day at a store for 6 days was 13. Which statement must be true about the stereo sales at the store?
O The store sold 19 stereos for the 6 days
O The store sold 78 stereos for the 6 days
O The store sold 13 stereos on at least half of the 6 days
O The store sold 13 stereos on at least two of the days
Answer:
well I don't know the options, but I do know that 105 would have been sold in a week.
Step-by-step explanation:
which expression is equivalent to 3 x5y ?
Answer:
2nd answer is correct
Step-by-step explanation:
We know that,
[tex]\sqrt{x} =x^{\frac{1}{2} }[/tex]
[tex]\sqrt[3]{x}=x^{\frac{1}{3} }[/tex]
By following the above, we can solve the answer to the question.
Let us solve this now
⇒ [tex]\sqrt[3]{x^5y}[/tex]
⇒ [tex]x^\frac{1}{3}^*^5y^\frac{1}{3}[/tex]
⇒ [tex]x^\frac{1*5}{3}y^\frac{1}{3}[/tex]
⇒ [tex]x^\frac{5}{3}y^\frac{1}{3}[/tex]
Need help please !!!
Answer:
2.4 is the answer I think
Step-by-step explanation:
I got you I think
Answer:
1) h= 19.4
2) p=1/2
3) k= 75
4) k= 75
5) m=18
6) t= -11
Step-by-step explanation:
REASONING A rectangular box has dimensions of x inches by (x+5) inches by (x−2) inches. The volume of the box is 30x cubic inches. Find the dimensions of the box. Write the dimensions in ascending order.
Help ASAP
Ben is making a chart in which he is listing the masses of different planetary bodies. He plans to write the masses in scientific notation. Convert the values in scientific notation to standard notation.
The mass of Ganymede is 1.48E23, or , kilograms.
The mass of Pandora is 2.20E17, or , kilograms.
Step-by-step explanation:
I think 2.20e23 because it said bodies not body
solve the proportion
Answer:
K=4.44444444444
Step-by-step explanation:
k/6=15/18.
Cross multiply.
k*18=18k.
6*15=80.
18k=80.
18k/18=80/18.
k=4.44444444444
Which graph shows the line y-4 = 3(x + 1)?
-5
5
D
O A. Graph A
B. Graph B
O C. Graph C
D. Graph D
5
B/A//C
Answer:
The answer is graph D since y int = 3(1)+4 which is 7, that graph crosses y at 7
Select the correct answer from each drop-down menu.
Consider the function f(x) = 3x4 − 5x2.
This function is
1. even
2. odd
3. neither even or odd
because
1. f(x)-f(x)
2. f(x)=f(x)
3. -f(x)=f(-x)
Using the classification for even and odd functions, it is found that the function is even, because f(-x) = f(x).
How we verify if the function is even, odd, or neither?If for all values of x, f(x) = f(-x), the function is even.If for all values of x, f(-x) = -f(x), the function is odd.If neither of these statements are true, the function is neither even nor odd.Graphing the function [tex]f(x) = 3x^4 - 5x^2[/tex], for every value of x, f(x) = -f(x), that is, the function is symmetric over the y-axis, hence it is even.
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wyatt has a square garden. he adds 3 feet to one side and 1 foot to the other and now it is a rectangle with an area of 24 ft^2 what are the new dimensions of the garden
Answer:
6x4 feet
Step-by-step explanation:
6 x 4 = 24
6 - 3 = 3
4 - 1 = 3