Responder:
Tn = 4n + 1
Explicación paso a paso:
Dada la secuencia aritmética
5,9,13,17,21 ...
Debemos encontrar el enésimo término de la secuencia
Tn = una + (n-1) d
a es el primer término = 5
n es el número de términos
d es la diferencia común
d = 9-5 = 13-9
d = 4
Sustituir en la ecuación
Tn = 5+ (n-1) (4)
Tn = 5 + 4n-4
Tn = 4n + 5-4
Tn = 4n + 1
Por tanto, el enésimo término de la secuencia se expresa como Tn = 4n + 1
How do you write the equation in slope intercept form given (2,2) and (0,-2)?
Answer:
y = 2x - 2
Step-by-step explanation:
The slope-intercept form of the equation of a line is
y = mx + b
where m is the slope, and b is the y-intercept.
y = mx + b
First we find the slope, m.
slope = (difference in y)/(difference in x)
It does not make a difference which point is first and which point is second in finding the differences, but you must do the x- and y-differences in the same order.
slope = (-2 - 2)/(0 - 2) = -4/(-2) = 2
The slope is 2, so m = 2, and now we have:
y = 2x + b
We need to find the value of b, the y-intercept.
We use one of the given points. Let's use (2, 2). We plug in 2 for x and 2 for y and solve for b.
2 = 2(2) + b
2 = 4 + b
-2 = b
b = -2
Now that we know the y-intercept is -2, we substitute b with -2.
y = 2x + b
y = 2x - 2
Answer: y = 2x - 2
please help, what is x and y??
Answer: X- 2
Y- -16
Step-by-step explanation:
Answer:
y = 8
x = 4
sooo...
Step-by-step explanation:
8 = 2 times 4
2 times 4 + 8 = 16
Jasmine had 50 cans and collects 5 additional cans per week for a food drive. Leandra has no cans but collects 10 cans per week. After how many weeks will they have the same number of cans?
write the equation of the line passing through the points (-4 -1) and (2 8)
Answer:
y=3/2x+5
Step-by-step explanation:
In a '15% off sale, Freya bought a DVD player for £179.99. What was the original price of this
DVD player?
Answer:
211.75
Step-by-step explanation:
179.99/.85=211.75
PLEASE HELP
Simplify the expression by combining like terms.
4 x + 3 − 2x + 5 − 2y
Answer:
2x+8-2y
Step-by-step explanation:
4x-2x+5+3-2y
2x+8-2y
Answer:
There you go!!
Step-by-step explanation:
4x - 2x - 2y + 3 + 5
23. En un hexágono regular el lado mide 4cm y su
apotema 2, 3 cm, ¿cuál es el área del hexágono?
Step-by-step explanation:
El área del hexágono es de 27.6cm². Para sacar el área del hexágono necesitas la siguiente fórmula (P×a÷2)(Perímetro × apotema entre 2).
Perímetro del hexágono=24
Área= (24×2.3÷2=27.6)
Área= (27.6)
Which of the following is equivalent to 4x - 3y = 12 ?
y = -4/3x - 4
y = 4/3x + 4
y = -4/3x + 4
y = 4/3x - 4
Answer:
y = 4/3 x - 4
Step-by-step explanation:
The slope-intercept form of the equation of a line
The equation of a line can be expressed in several forms. One of them is the slope-intercept form:
y = mx + b
Where
m = slope
b = y-intercept
We are required to convert the equation of the line:
4x - 3y = 12
It can be done by solving for y.
Subtracting 4x:
- 3y = - 4x + 12
Dividing by -3;
y = 4/3 x - 4
The eighth term of an arithmetic sequence is double the value of the third term. The fifth term is equal to 14. Determine the first term and the common difference of the sequence.
Answer: first term = 6
Common difference = 2
Step-by-step explanation:
Eight term =a +(n-1)d = a +(8-1)d = a + 7d
Third term = a+(n-1)d = a + (3-1)d =a + 2d
a + 7d = 2(a + 2d)
a + 7d = 2a + 4d
7d - 4d = 2a - a
a = 3d
The fifth term is equal to 14. This is:
a + 4d = 14
Put the value of a into the equation here
3d + 4d = 14
7d = 14
d = 14/7
d = 2
Recall that a + 4d = 14
a + 4(2) = 14
a + 8 = 14
a = 14 - 8
a = 6
Solving systems using tables,this hw i need help :/
Mikayla put $212 in a savings account at the beginning of the year. At the end of each month, she withdrew $12 from her account. Mathew put $30 in his savings account at the beginning of the year. At the end of each month, he deposited $14 in his account. Let x represent the number of months which have passed and y represent the amount in each savings account.
A.Write an equation to represent the amount in Mikayla’s savings account.
B.Write an equation to represent the amount in Matthew’s savings account.
C.Below make an input-output tables that show the amount in each account for the first 8 months
D.When will Mikayla and Matthew have the same amount in their accounts?
Mikayla
X-Y
0-$212
1-
2-
3-
4-
5-
6-
7-
8-
Matthew
X-Y
0-$30
1-
2-
3-
4-
5-
6-
7-
8-
Answer:
A -12x+212
B 14x+30
C
Mikaela
0 212
1- 200
2- 188
3- 176
4- 164
5- 152
6- 140
7- 128
8- 116
Matthew
0- 30
1- 44
2- 58
3- 72
4- 86
5- 100
6- 114
7- 128
8- 142
D In 7 months
bella wants to have at least 200$ in her bank account by the end of the month she currently has 25$ in her bank account bella makes 12$ for each dog that she walks how many dogs would katie have to walk to reach her goal of 200$
17
Step-by-step explanation:
12×17=204 if she walked 17 dogs she would have 204$ therefore the answer is 17 dogs
what is 4 / 4 + 8 - 9 + 15 - 50 + 1000
Answer:
965
Step-by-step explanation:
Help again please???????
Answer:
i think C
Step-by-step explanation:
sorry if its wrong
Answer:
A
Step-by-step explanation:
A is the only option that equals 48 besides 4x12, which is not really prime factorization.
Also, 48 breaks down into 16x3, which breaks down into either [tex]2^{4}[/tex] or [tex]4^{2}[/tex] x 3, since 3 is already a prime number.
2. Write the symbol that will make the statement true; -5__+3.
a. < b. > c. = d. /
Answer:
a
Step-by-step explanation:
On the number line, negative numbers are less than zero. positive numbers are larger than zero.
−3(5x + 8) − 7(5x + 3)
Answer:
-50x-45
Step-by-step explanation:
-3(5x+8)-7(5x+3)
-15x-24-35x-21
-50x-45
How long does it take an account with a principal of $400 to earn $48 in interest at a simple annual interest rate of 2%?
Answer:
it'll take 6 years
Step-by-step explanation:
I =put
48= 400(.02) t
48= 8t
t= 6 years
Square root of -18 ?
Order from greatest to least. 4. -4. 9. -7 *
Answer
9 4 -7 -4
Step-by-step explanation:
frecuencia del alcohol
Create and solve a multiplication problem to show that the product of a whole number and a fraction will be equal to the whole number.
IM LOOKING FOR A MATH PROBLEM LIKE THIS = 6 x 1/4 is equal to 6 (but obviously it's not) Please halp ;-;
Maybe (10)(3/5)=6
The parentheses is multiplication
Use the figure below to complete the sentence.
In one hour the temperature in a city fell from 4.3°C to −3.2°C. How many degrees celsius did the temperature fall during the one hour period? (Enter an exact number.)
Answer:
7.5 decrees celcius
Step-by-step explanation:
the diagram shows a triangle drawn between a pair of parallel lines
Find value of x and y
Answer:
x = 60
y = 80
Step-by-step explanation:
x° + 120° = 180° (interior angles on the same side of transversal)
x° = 180° - 120°
x° = 60°
x = 60
x° + y° = 140° (alternate angles)
60° + y° = 140°
y° = 140° - 60°
y° = 80°
y = 80
The measure of angle ∠x is 60° and ∠y is 80°.
What are Alternate Interior Angles?Alternate Interior Angles is defined as the pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles. These angles are always equal.
Since angle ∠x and ∠120° are interior angles on the same side of transversal.
So, x° + 120° = 180°
x° = 180° - 120°
x° = 60°
x = 60
Since angle ∠x° and angle ∠y° are alternate angles
So, x° + y° = 140°
Substitute the value of x = 60 in above equation,
60° + y° = 140°
y° = 140° - 60°
y° = 80°
Hence, the measure of angle ∠x is 60° and ∠y is 80°.
Learn more about Alternate Interior Angles her:
https://brainly.com/question/2125016
#SPJ2
I NEED THE SLOPE INTERCEPT FORM, ITS DUE BY 12
Answer:
really what is the answer
Step-by-step explanation:
Answer:
y=x+2
Step-by-step explanation:
i cant see clearly if line is on the x axis or not, so im going to guess that it starts on a 2, cause its really close to 2.
hope this helps.
solve the inequality 7/2 ≥ b + 9/5. Then graph the solution
Answer:
okay so I spent alot of time tying to figure this out and then I had to go over to my cousin and ask her if it's correct and it is.
so! here is your answer and ofc have an amazing day good luck
Step-by-step explanation:
theres your answer in that photo i just put
How do you know (2, 1) is a solution to 4x+y=9?
Select all that apply.
1.[] The coordinate lies on the line
2.[] When substituting x=2 and y=1 into the equation, you get a true statement .
3.[] (2,1) is a positive and so is all the numbers in the equation
4.[] 9-4=5 and 2(2)+1=5
Answer:
2. When substituting x=2 and y=1 into the equation, you get a true statement.
Hope this helps you.
Krishna has $4.90 with a combined 34 nickels and quarters. How many of
each coin does she have?
Answer:
Step-by-step explanation:
-34 nickles is = 1.70
34 quarter is = 8.50
1.70 plus 8.50 plus 4.90 = 15.1 i think
find 2 numbers whose sum is 36 and diffrence is 10
Answer:
23 and 13
Step-by-step explanation:
can you help me with my latest answer too??i'm on a time limit rn
Answer:
13 and 23Step-by-step explanation:
let 2 number be x and y
x + y = 36 ---- equation ( 1 )
x - y = 10 -----equation ( 2 )
from ( 1 ) and ( 2 )
2y = 26
y = 13
putting value of Y in equation ( 1 )
x + y = 36
x + 13 = 36
x = 36 - 13
x = 23
MARK ME AS BRAINLISTCindy wants to buy flooring and baseboards for her office. She needs to know how much to buy. What are the Area and Perimeter of her office?
Answer:
the question is not complete pls complete the question even though the formulas are lxb for rectangles area and SxS for squares area
2. Joseph has $10,000 to invest. He goes to Met Bank that pays 4% interest compounded annually.
How much will Joseph have in the bank after 10 years?
10x4=40
40x100=4000
he will have $4000 in the bank
Answer:
£14000
Step-by-step explanation:
10000x0.04=400
400 per year for 10 years=4000
4000+10000=14000