The function that best defines this arithmetic sequence is:
[tex]f(n) = f(n - 1) - 4, f(1) = 9[/tex]What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.The recursive function that defines the sequence is:
[tex]f(n) = f(n - 1) + d[/tex]
[tex]f(1) = f_0[/tex]
In which [tex]f_0[/tex] is the first term.In this problem, the sequence is: {9, 5, 1, -3}
Each term is the previous term subtracted by 4, hence [tex]d = -4[/tex].The first term is 9, hence [tex]f_0 = 9[/tex].Hence, the function is:
[tex]f(n) = f(n - 1) - 4, f(1) = 9[/tex]You can learn more about arithmetic sequences at https://brainly.com/question/6561461
To identify the functions which best define the given sequence, we have to identify the number pattern.
The correct option is (a).
Given:
The given sequence is as follows,
[tex]9,5,1,-3[/tex]
What is an arithmetic sequence?The arithmetic sequence define as the difference between two consecutive number would be same.
If we subtract 4 form each digit we will get next digit.
[tex]9-4=5\\5-4=1\\1-4=-3[/tex]
So the function would be,
[tex]f(1) = 9, f(n + 1) = f(n) -4; \rm for \:n\geq 1[/tex]
The option (b) and (d) show the increasing function whereas we have decreasing sequence.
Thus, the correct option is (a).
Learn more about arithmetic sequence here
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C.
Minh and Mikayla are selling wrapping paper for a school fund-raiser. Customers can
buy either packages of folded paper or rolls of paper. Minh sold 6 rolls of paper and 2
packages of folded paper for a total of $44. Mikayla sold 3 rolls of paper and 9 packages
of folded paper for a total of $54. How much does each roll cost? How much does each
package of folded paper cost?
Answer:
Rolls $6, Folded $4
Step-by-step explanation:
Minh: 6r + 2f = 44
Mikayla: 3r + 9f = 54
Multiply Mikayla's x 2: 6r + 18f = 108
Subtract Minh: 6r + 2f = 44
16f = 64
f = 4, Folded paper is $4.
Substitute 4 for f into one of the equations.
6r + 2(4) = 44
6r + 8 = 44
6r = 36
r = 6 Rolled paper is $6
the least common multiple of 9 and 42 through prime factorization?
Answer:
3
Step-by-step explanation:
9= 3*3
42=3*7*2
If F(x) = x - 7 and G(x) = x^3, what is G(F(x))?
=
A. x^3+ x - 7
B. X^3-7
C. (x-7)^3
D. x^3(x - 7)
Answer:
C
Step-by-step explanation:
What is the probability of rolling a number less than or equal to eight with the sum of two dice, given that at least one of the dice must show a 6?
Answer:
4/11
Step-by-step explanation:
Outcomes that meet your requirement are
(1, 6), (2, 6), (6, 1), (6, 2)
for a total of 4 favorable outcomes.
There are 11 outcomes in which one die shows a 6.
So your probability would be 4/11.
-424 +122-72+2
Jason tried to find an expression equivalent to the rational expression
by using
202+1
polynomial long division. His work is shown below.
- 2x + 7x
2x + 1) - 4x4 + 12x3 - 7x + 2
-(-4x4 - 2x2)
14x - 7x + 2
- (14x3 + 7x)
-14x + 2
Jason concluded that -202 + 7+ +
-142+2
was equivalent to the rational expression. Jason's
2x+1
conclusion is incorrect.
O He made a mistake subtracting - 4x4 - 2x² from - 4x4 + 12x² - 7x + 2
He made a mistake by multiplying 2x² + 1 by 2x2
O He made a mistake subtracting 14x + 7x from 14x3 – 7x + 2
O He should have done one more step of long division to divide - 14x + 2 by 2x² + 1
+
Need help understanding this ?
Answer:
The expression "-424 +122-72+2" doesn't seem to have anything to do with the rest of the problem. The sum of what was written is -372. There are no unknowns (x's) in this expression, and yet the work shows x's in the analysis.
Step-by-step explanation:
What does "by using
202+1
polynomial long division." mean??
do the numbers after the x's represent exponents?
e.g.: "2x + 1) - 4x4 + 12x3 - 7x + 2" is really "2x + 1) - 4x4 + 12x^3 - 7x + 2"
- Are the lines y = -1 and x = 1 parallel?
Answer:
No the lines are perpendicular.
Step-by-step explanation:
The lines are perpendicular because x and y meet up and make a perpendicular line. If you don't believe me plug it in a graphing calculator.
Betty makes 40 cupcakes per hour to find the number of cupcakes baked in h hours use the equation f(h)=40 evaluate f(5) and explain what it means
Answer:
Step-by-step explanation:
f(h) = (40 cupcakes / hr)*h
f(5) represents the number of cupcakes baked in 5 hours: 200 cupcakes
Bathing suits are on sale 80% off at Dillards. If I see a bathing suit marked down to $25, what was the original price of the bathing suit?
Answer:
i think 20
Step-by-step explanation:
In which situation below would you want to use the Explicit Formula instead of the Recursive Formula?
a. Find the 100th term when the first term is -3 and the common difference is 4.
b. Find the 3rd term when the first term is 2 and the common difference is 5.
c. Find the 7th term when the first term is -1 and the common difference is 10.
d. Find the 5th term when the first term is 7 and the common difference is -2.
Answer:
Find the 100th term when the first term is -3 and the common difference is 4.
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Find the 100th term when the first term is -3 and the common difference is 4. I took the test and got 100 percent.
A shoe store donated a percent of every sale to hospitals. The total sales were $9,950 so the store donated $796. What percent of 9,950 was donated to hospitals?
Answer:
8%
Step-by-step explanation:
when solving with percentages, you can “cross multiply”,
we know the fraction would be set up this way:
[tex]\frac{769}{9950}*\frac{x}{100}[/tex]
*there would be an 100 bc a percentage is out of 100*
Now, you have to multiply 769 by 100
[tex]769*100=\\ 76900[/tex]
Then divide by 9950 to get “x”
[tex]79600/9950=\\ 8[/tex]
hope this helps!
How would you write "there were 3 times as many baby dinosaurs as adult dinosaurs" as an algebraic equation where x = baby dinosaurs and y = adult dinosaurs?
Step-by-step explanation:
x = 3y
or y = x/3
bottom line : there are three times as many x as there are y. or the number of y is 1/3 of x.
A line includes the points (3, 7) and (14, 18). What is its equation in slope-intercept form?
Answer:
y=x+4
Step-by-step explanation:
Drag steps of the solution into order to solve for x in the equation 6(x-5) = 54
A. 6x – 30 = 54
B. 6x = 84
C. 6x = 24
D. x = 14
I need to figure out what order to put these in to get the answer I can only use three!
The steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:
A. 6x – 30 = 54 B. 6x = 84 D. x = 14Given the expression 6(x-5) = 54
Expand the expression in parenthesis using the distributive law;
6x - 6(5) = 54
6x - 30 = 54
Add 30 to both sides
6x - 30 + 30 = 54 + 30
6x = 84
Divide both sides by 6
6x/6 = 84/6
x = 14
Therefore the steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:
A. 6x – 30 = 54 B. 6x = 84 D. x = 14Learn more on equations here; https://brainly.com/question/2972832
Find the equation of this line.
solve for value of x in simplest radical form
Answer:
3
Step-by-step explanation:
Find the exact value of the following.
Find -xy, for x = -75.9 and y = 2.6.
-xy =
Answer:
197.34
Step-by-step explanation:
-(-75.9 ) × 2.6
Answer:
-(-75.9)(2.6) = +197.34
Step-by-step explanation:
Find -xy, if x = -75.9 and y = 2.6. Substitute -75.9 for x and 2.6 for y in -xy:
-(-75.9)(2.6) = +197.34
what is the transformation of f(x)=- (x + 2)2- 4
Answer: x=0
Step-by-step explanation: f(x)=(x+2)x2-4
0=2x+4-4
0=2x
2x/2=0
0/2=0
x=0
What is the area of a rectangle with side lengths of 5 meter and 3 meter?
- -
6 4
where width ?
...................
PLEASE HELP ME, I NEED HELP ASAP!!!! :(
ty ty
Answer:
y=10/3
Step-by-step explanation:
Answer:
y = - [tex]\frac{24}{7}[/tex]
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 6 when x = - 7
6 = - 7k ( divide both sides by - 7 )
- [tex]\frac{6}{7}[/tex] = k
y = - [tex]\frac{6}{7}[/tex] x ← equation of variation
When x = 4 , then
y = - [tex]\frac{6}{7}[/tex] × 4 = - [tex]\frac{24}{7}[/tex]
A town’s population increased from 25200 to 26460. Find the percent of increase.
Answer:
5%
Step-by-step explanation:
Based on the given conditions, formulate: (26460-25200)÷25200
Calculate the sum or difference: 1260/25200
Cross out the common factor: 1/20
Multiply a number to both the numerator and the denominator: 1/20 * 5/5
Write as a single fraction: 5/20*5
Calculate the product or quotient: 5/100
Rewrite a fraction with denominator equals 100 to a percentage: 5%
What is the equation of the line that passes through the point (-3,0) and has a
slope of ?
Answer:y - 0 = 4/3(x + 3)
Step-by-step explanation:
Answer:
Answer:y - 0 = 4/3(x + 3)
Step-by-step explanation:
A biking track has the lenght of 0.95 mi. How long is this in feet?
Answer:
5016 feet
Step-by-step explanation:
PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls
Answer:
See belowStep-by-step explanation:
1)
x + 5 = 12, subtract 5 from both sides
x = 7
Subtraction property of equality
a = ba - c = b - c2)
x + y = 20 and y = 5, substitute 5 into first equation
x + 5 = 20
Substitution property of equality
a + b = c and b = da + d = c3)
2x - 3 = 11, interchange the sides of equality
11 = 2x - 3
Symmetric property of equality
a = bb = aAnswer:
1. if x + 5 = 12, then x = 7
:Subtraction property of equality
2. If x + y = 20, and y = 5, then x + 5 = 20.
:Substitution property of equality
3. If 2x3 = 11, then 11 = 2x - 3.
:Symmetric property of equality
What is the solution to the equation? −12x=−3 Enter your answer as a simplified fraction in the box. x =
Answer:
1/4
Step-by-step explanation:
This is because you want to get x alone, so if you divide -12 on one side you have to do it on the other side, so you get -3/-12 which can be divided by -3 to be simplified to 1/4. Hope this helps!
Answer:
1/4Step-by-step explanation:
-12x = -3
x = 12 : -3
x = 1/4
--------------------
check
-12 * 1/4 = -3
-3 = -3
the answer is good
Will give brainly,5 stars,and thank if it CORRECTLY
Answer:
$31.68
Step-by-step explanation:
1.4 x 9.15 = $12.81
0.8 x 10.75 = $8.60
2.6 x 3.95 = $10.27
12.81 + 8.60 + 10.27 = $31.68
Please help me :) triangles, and i need help Brainliest to correct answers!!! NO LINKS
Answer:
Step-by-step explanation:
ur mom
Work out m and c for the line:3x + 2y−1 =0
please help quickly
Answer:
m=-1.5 and c=0.5
Step-by-step explanation:
3x+2y-1=0
divide everything by 2, to get y.
3x/2=1.5x, -1/2=-0.5.
then separate 1.5x and -0.5 from y (put them on the other side)
there, y=-1.5x+0.5
m=-1.5, and c=0.5
The shape of base of a cubic box is _______
Answer:
The shape of base of a cubic box is square
Step-by-step explanation:
Here the figure is
Here the base is square
The shape of base of a cubic box is square
Answer:
The base is a square
Step-by-step explanation:
Since this question is very straightforward it is asking us the what it the base or what holds the shape itself. We know that a cube is made up of all squares so we can say the the base is a square.
if f(x)=-x+2 find f(6)
Answer:
Answer: -4
Step-by-step explanation:
[tex]{ \rm{f(x) = - x + 2}} \\ \\ { \rm{f(6) = - (6) + 2}} \\ \\ { \rm{f(6) = - 4}}[/tex]
The value for f(6) = -4
What is the function of f(x)?The function of f(x) is set to a term such that for every value of x, there is a unique value for it on the graph.
From the given information, we are given a function
f(x) = -x + 2To find f(6), we replace x with 6.
f(6) = -6 + 2f(6) = -4Learn more about function of f(x) here:
https://brainly.com/question/544653
What is an equation of the line that passes through the points (4, -1) and (8, 5)?
Answer:
y=3/2x-7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-1))/(8-4)
m=(5+1)/4
m=6/4
simplify
m=3/2
y-y1=m(x-x1)
y-(-1)=3/2(x-4)
y+1=3/2(x-4)
y=3/2x-12/2-1
y=3/2x-6-1
y=3/2x-7