Answer:
2, 5, 14, 41, 122
Step-by-step explanation:
Using the recursive rule with a₁ = 2
a₂ = 3a₁ - 1 = 3(2) - 1 = 6 - 1 = 5
a₃ = 3a₂ - 1 = 3(5) - 1 = 15 - 1 = 14
a₄ = 3a₃ - 1 = 3(14) - 1 = 42 - 1 = 41
a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122
The first 5 terms are 2, 5, 14, 41, 122
Answer:
[tex]a_{1}\\\\[/tex] = 2
[tex]a_{2\\}\\\\[/tex] = 5
[tex]a_{3\\}\\\\[/tex] = 14
[tex]a_{4\\}\\\\[/tex] = 41
[tex]a_{5\\}\\\\[/tex] = 122
Step-by-step explanation:
If I've properly understood:
[tex]a_{1}\\\\[/tex] = 2
[tex]a_{n} = 3 a_{n-1}\\[/tex] - 1
so, the first 5 terms are:
[tex]a_{1}\\\\[/tex] = 2
[tex]a_{2\\}\\\\[/tex] = 3. 2 - 1 = 5
[tex]a_{3\\}\\\\[/tex] = 3. 5 - 1 = 14
[tex]a_{4\\}\\\\[/tex] = 3. 14 - 1 = 41
[tex]a_{5\\}\\\\[/tex] = 3. 41 - 1 = 122
I'LL GIVE BRAINLIEST!!
Answer: 3
Step-by-step explanation:
1. 2²=4
2. 4*5=20
3. 180/20=9
4. √9=3
Hope this helped :)
Answer:
x = 3
Choice 2
Step-by-step explanation:
180 = 2^2 * x^2 * 5
180 = 20x^2
9 = x^2
x = 3
Checking:
180 = 2^2 * 8^2 * 5
180 = 4 * 9 * 5
180 = 36 * 5
180 = 180
Find all real values of x that satisfy the equation x^2 - 7x = 98.
HELP PLEASE!!!!
Review the function equation below.
y = −9x + 3
Enter the slope of the function in the box.
-9 is the answer
your welcome
Which of these strategies would eliminate a variable in the system of equations?
\begin{cases} 6x + 5y = 1 \\\\ 6x - 5y = 7 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
6x+5y=1
6x−5y=7
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
Subtract the bottom equation from the top equation.
(Choice B)
B
Add the equations.
(Choice C)
C
Multiply the top equation by 777, then subtract the bottom equation from the top equation.
9514 1404 393
Answer:
A Subtract the bottom equation from the top equation.B Add the equations.Step-by-step explanation:
The x-terms are the same in each equation, so subtracting one equation from the other will eliminate the x-variable.
The y-terms are opposites in the two equations, so adding the two equations will eliminate the y-variable.
Both strategies (subtracting, adding) are applicable to this system of equations.
Gabby spents $44.10 for 14 gallons of gas.what was the unit cost or price per gallon
Answer:
The unit cost is $3.15
Step-by-step explanation:
Here, we want to get the price per gallon
mathematically, that will be total amount spent divided by the number of gallons
That will be;
44.10/14 = $3.15
please help I would really Appreciate it so much
Answer:
I think it is b
Step-by-step explanation:
it is 3a times all of the numbers in parenthases
hope you pass your test
HAPPY NEW YEAR
Answer:
the answer is 15a+12ac+6ab
Step-by-step explanation:
3a(5+4c+2b)
(3a)(5+4c+2b)
(3a)(5)+(3a)(4c)+(3a)(2b)
15a+12ac+6ab
6ab+12ac+15a
hope this helps!
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)
Answer:
12
Step-by-step explanation:
Answer: 12
Step-by-step explanation: Subtract 6 - 4 = 2. 2 * 2 = 4. 4 + 5 = 9. 9 - 3 = 6. 6 +6 = 12
11x + 18 = 172 not a test i need the right awnser
Answer:
x=14
Step-by-step explanation:
11x+18=172, subtract 17 from both sides, 11x=154, divide 11 from both sides, x=14
A pair of shoes is ticketed $49.99 but marked 15% off. You had a coupon for an additional 10% off the sales price. You have to pay 6.75% sales tax on shoes. How much are you paying?
Answer:
$40.86
Step-by-step explanation:
just multiply 49.99 times 0.15 then multiply 49.99 times 0.10 then add those together to get 12.49 then multiply 49.99 times 0.0675 to get 3.37 then subtract 12.49 from 49.99 then add 3.37 to that so like
(49.99 - 12.49) + 3.37 = 40.86
What are the solution points for the system graph?
A)
(0,2)
B)
No solution
C)
(0,1)
D)
(0,0)
Answer:
if i right it (0,2)
Step-by-step explanation:
i hope u get it right
Answer:
No Solutions
The two equations do not have any intersecting points, so the answer would be zero solutions.
Step-by-step explanation:
I need help plz on this question
Answer:
-1/3
Step-by-step explanation:
Ann's gym charges $20 per month plus $5 per visit. Blake's gym charges
$30 per month plus $3 per visit. Ann and Blake make the same number of
visits per month. How many visits would make their monthly costs equal?
O A. At 5 visits they will both cost $45
B. At 8 visits they will both cost $60
C. They will never cost the same
0
D. They will always cost the same
Edit:
Answer:
yea i def lost brain cells trying to answer this
Step-by-step explanation:
Answer:
It's A!
Step-by-step explanation:
Basically, I substituted numbers in and added the per-month cost and per-visit cost:
Ann: 25 Blake: 33 (1 visit)
Ann: 30 Blake: 36 (2 visits)
Ann: 35 Blake: 39 (3 visits)
Ann: 40 Blake: 42 (4 visits)
Ann: 45 Blake: 45 (5 visits)
Cherise plays basketball. The list shows the number of points she scored in each of her last six games. 12. 16. 10. 26, 14, 12 What is the mean number of points Cherise scored? O A 12 B. 13 C. 15 D. 16
anser:15
Step-by-step explanation:first add 12+16+10+26+14+12=90divide by how mnay numbers in this case 6 90 divied=15
Mean of given dataset is 15.
What is mean?It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list is called mean.
Given dataset
12, 16, 10, 26, 14, 12
Mean = [tex]\frac{12+16+10+26+14+12}{6}[/tex]
= [tex]\frac{90}{6}[/tex]
= 15
Mean of given dataset is 15.
Find out more information about mean here
https://brainly.com/question/11163338
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The population of cina is approximately 1.381×10^9 and the population of the united states is approximately 3.23×10^8 about how many people live in both countries combined?Express your answer in scientific notation
Answer:
The number of people living in both countries is 1.704 x 10⁹
Step-by-step explanation:
Given;
Population of people in China, = 1.381 x 10⁹
Population of people in united states, = 3.23 x 10⁸
The total number of people living in both countries is given as;
Total population = 1.381 x 10⁹ + 3.23 x 10⁸
Total population = 1.381 x 10⁹ + 0.323 x 10⁹
Total population = (1.381 + 0.323) x 10⁹
Total population = 1.704 x 10⁹
Therefore, the number of people living in both countries is 1.704 x 10⁹
12. Write an equation in slope-intercept form that passes through (5,-2) and (-16,4).
Answer:
Slope: (y2-y1)/(x2-x1)
(4+2)/(-16-5) = 6/-21 = -2/7
Y = -2/7x + b
5 = -2/7(-2) + b, b = 31/7
Equation: y = -2/7x + 31/7
Step-by-step explanation:
What is 4% of 25?.....
Answer:
1
Step-by-step explanation:
multiply 25 by .04
What is the Least Common Denominator for the two fractions? 1/4 and 7/10
Answer:
1/4
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
What appears to be the range of the part of the function shown on the grid?
(A) g(x) = 2x
(B) g(x) = x - 3
(C) g(x) = x - 8
(D) g(x) = 2x - 8
Answer:
D) g(x) = 2x-8
Step-by-step explanation:
what is the greatest factor (GCF) of 66 and 22
Answe
22 is your answers ....
A train travels at a speed of 58.6 km/h. Express this speed in
a. m/s
b. cm/min
Answer:
16.27778 m/s
97666.6667 cm/min
Step-by-step explanation:
a. To convert km/hr into m/sec, multiply the number by 5 and then divide it by 18.
m/s = (58.6 * 5) /18 = 16.27778 m/s
b. 1 Kilometer/Hour = 1666.66666666667 Centimeter/Minute
so 58.6 * 1666.666 =97666.6667 cm/min
The points (5, 7) and (4, 5) fall on a particular line. What is its equation in slope-intercept
form?
Answer:
y=2x−3
Step-by-step explanation:
The length of a rectangle deck is 3 times its width. If the deck's perimeter is 16 ft, what is the deck's area?
Answer:12
Step-by-step explanation:
3x+3x+x+x=16
8x=16 so x =2
2*3=6 6*2=12
Answer:
12 sq ft
Step-by-step explanation:
let w = width
let 3w = length
w + w + 3w + 3w = 16
8w = 16
x = 2
Area = 3(2) x 2
A = 6 x 2
Please show your work and solve the proportion!
Answer:
x = 1/9
Step-by-step explanation:
we want to solve the proportion;
we simply cross multiply the values
Mathematically, that will be calculated as follows;
6x * 21 = 2 * 7
6x * 21 = 14
6x = 14/21
2(3x) = 2(7/21)
3x = 7/21
3x = 1/3
x = 1/3/3
x = 1/9
two irregular pentagons are constructed so that every side has length of 1 unit. Does this necessarily mean that these figures are congruent with one another
Answer:
la repuedta es la tila idnjxnfozmsuzndybdjsnshsbsb
What happens to the graph of f(x) when it is multiplied
by a number between - 1 and 0?
Help me and I’ll give brainliest to u
Answer:
7p
Step-by-step explanation:
Since it is 7 dollars per person, and p stands for person, the admission fee would be 7p.
Thank you, I hope you learned from this answer! If it did help, please mark this as brainliest! Thank you!
What is the value of the x variable in the solution to the following system of equations? (1 point)
4x + 2y = 12
x − y = 3
0
−3
3
2
Answer:
-3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
4x + 2y = 12
x − y = 3
Make it able to cancel the variable y.
x*2 − y*2 = 3*2
2x − 2y = 6
Add the equations together now that y can be canceled out. Add each like term of the separate equations together.
4x + 2y = 12
+ 2x − 2y = 6
6x + 0 = 18
6x = 18
6 6
x = 3
I hope this helps!
x + y = 42, xy = 108 then what is x and y. Is there any (non-quadratic)formula for finding this instead of the process of elimination
Answer:
when x = 39.25, y = 2.75
when x = 2.75, x = 39.25
Step-by-step explanation:
use substitution method
x+y = 42 ------ (1)
xy = 108 ------ (2)
from (1) ,
x+y = 42
y = 42-x ------ (3)
substitute (3) into (2)
xy = 108
x( 42-x ) = 108
42x - x² = 108
-x² + 42x - 108 = 0
x² - 42x + 108 = 0
use the following formula to solve the value of x:
[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: \\ ii) \: x = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
a = 1
b = -42
c = 108
[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]x = \frac{ - ( - 42) + \sqrt{( - 42) {}^{2} - 4(1)(108)} }{2(1)} [/tex]
[tex]x = \frac{42 + \sqrt{1764 - 432} }{2} [/tex]
[tex]x = \frac{42 + \sqrt{1332} }{2} [/tex]
[tex]x = \frac{42 + 6 \sqrt{37} }{2} [/tex]
[tex]x = 21 + 3 \sqrt{37} [/tex]
[tex]x = 39.25[/tex]
[tex]ii) \: x \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]x = \frac{ - ( - 42) - \sqrt{( - 42) {}^{2} - 4(1)(108} }{2(1)} [/tex]
[tex]x = \frac{42 - \sqrt{1764 - 432} }{2} [/tex]
[tex]x = \frac{42 - \sqrt{1332} }{2} [/tex]
[tex]x = \frac{42 - 6 \sqrt{37} }{2} [/tex]
[tex]x = 21 - 3 \sqrt{37} [/tex]
[tex]x = 2.75[/tex]
the 2 values of x are x = 39.25 and x = 2.75
substitute x = 39.25 into (3)
y = 42-x
y = 42-39.25
y = 2.75
substitute x = 2.75 into (3)
y = 42-x
y = 42-2.75
y = 39.25
when x = 39.25, y = 2.75
when x = 2.75, x = 39.25
PLEASE HELP!!!
The ratios 12:24, 15:30, and 18:36 form a pattern of equivalent ratios in the multiplication table below.
A multiplication table.
Which method can find other equivalent ratios for this pattern?
Multiply 3 and 6 by the same factor, and write the products as a ratio.
Multiply 2 and 8 by the same factor, and write the products as a ratio.
Multiply 4 and 6 by the same factor, and write the products as a ratio.
Multiply 1 and 8 by the same factor, and write the products as a ratio.
Answer:
A
Step-by-step explanation:
Trust me on this.
Can I have brainlest, also I hope you do well!
Answer:
Multiply 3 and 6 by the same factor, and write the products as a ratio.
Step-by-step explanation:
because i have dun it
HELP WILL MARK BRAINLIEST
Answer:
i think d
Step-by-step explanation:
im so sorry if this is wrong but im almost positive its d
please mark brainliest