Answer:
x = − 2 , and y = 8
Step-by-step explanation:
The first five terms of an arithmetic sequence are 8, 13/2, 5, 7/2, and 2. Which function, f(x), could be used to describe the xth term of the sequence?
f(x)=?
Answer:
The nth term of the sequence is:
[tex]a_n=\frac{-3n+3}{2}+8[/tex]
Step-by-step explanation:
Given the first 5 terms of the arithmetic sequence
8, 13/2, 5, 7/2, and 2
An arithmetic sequence has a constant difference 'd' and is defined by:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
as the common difference 'd' is:
[tex]d=a_{n+1}-a_n[/tex]
Computing the differences of all the terms
[tex]\frac{13}{2}-8=-\frac{3}{2},\:\quad \:5-\frac{13}{2}=-\frac{3}{2},\:\quad \frac{7}{2}-5=-\frac{3}{2},\:\quad \:2-\frac{7}{2}=-\frac{3}{2}[/tex]
[tex]d=-\frac{3}{2}[/tex]
The first element is:
[tex]a_1=8[/tex]
Therefore, the nth term is computed by:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=-\frac{3}{2}\left(n-1\right)+8[/tex]
[tex]a_n=\frac{-3n+3}{2}+8[/tex]
Therefore, nth term of the sequence is:
[tex]a_n=\frac{-3n+3}{2}+8[/tex]
4. Round to the nearest hundredths
11.658
Answer:
11.758
Step-by-step explanation:
Answer:
12.000
Step-by-step explanation:
Find the perimeter and area of the figure.
5 m
3 m
4 m
Answer:
Perimeter: 7
Area: 6
Step-by-step explanation:
Perimeter: 3 + 3 + 4 + 4 = 14 /2 = 7
Area: 3 x 4 = 12/2 = 6
PLEASE HELP!!!!!
If n/8 has a remainder of 5, then which of the following has a remainder of 7?
A) n+1/8
B) n+2/8
C) n+5/8
D) n+7/8
Answer:
[tex]\frac{n+2}{8}[/tex] has a remainder of 7 ⇒ B
Step-by-step explanation:
In m ÷ n = c + [tex]\frac{r}{n}[/tex] ,
m is the dividendn is the divisorc is the quotientr is the remainderm = (n × c) + rLet us use the facts above to solve the question
∵ [tex]\frac{n}{8}[/tex] has a remainder of 5
→ Let us find the first number divided by 8 and give a reminder of 5
that means let the quotient = 1
∵ n = (8 × 1) + 5 = 8 + 5
∴ n = 13
∵ [tex]\frac{n+x}{8}[/tex] has a remainder of 7
→ Let us find the first number divided by 8 and give a reminder of 7
that means let the quotient = 1
∵ n + x = (8 × 1) + 7 = 8 + 7
∴ n + x = 15
∵ n = 13
∴ 13 + x = 15
→ Subtract 13 from both sides
∴ 13 -13 + x = 15 - 13
∴ x = 2
∴ [tex]\frac{n+2}{8}[/tex] has a remainder of 7
Y’all help please I would appreciate it
Answer:
-10
Step-by-step explanation:
Help with this math Please and I appreciate it so much if u did
Answer:
1.x+6
2.3.3c --8.2
3.11x -- 1/4
4.9x+5
5.x+14.4/2
Step-by-step explanation:
if you have s3x 365 times how much is it a day?
this was from my math book
Answer:
Okay first okay this was not from your math book people actually need help on questions and here you are.
Step-by-step explanation:
Solve the equation 3(x-5) - 5x = -25 + 6x
Answer:
x=5/4
Step-by-step explanation:
Answer: x = 1 1 /4
Hope it helped
Step-by-step explanation:
Give the percent equation AND answer for.......... 89% of what number is 14?
Answer:
15.730337078652
Step-by-step e15.730337078652
89 percent (calculated percentage %) of what number equals 14?
Answer: 15.730337078652.
Cary is having a party and can only afford to spend no more than $40 on food. She wants to order at least 3 pizzas which cost $6 a pie, and at least 2 orders of wings that cost $8 per order. Select all the inequalities she would have to graph to determine how many pizzas and wings she could order. Let x stand for the number of pizzas and y stand for the number of wings.
y ≥ 2
x ≥ 3
3 x + 8 y ≤ 40
6 x + 8 y ≤ 40
x ≤ 3
y ≤ 2
((You can select more than one))
Answer:
A. B. and D.
Step-by-step explanation:
Write an
explicit formula for An, the nth term of the sequence 15, 8, 1, ....
Answer:
b(n) = 15 - 7(n - 1)
Step-by-step explanation:
15 is the y-intercept
-7 is the slope
Answer:
[tex]a_{n}[/tex] = 22 - 7n
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
8 - 15 = 1 - 8 = - 7
This indicates the sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 15 and d = - 7 , then
[tex]a_{n}[/tex] = 15 - 7(n - 1) = 15 - 7n + 7 = 22 - 7n ← explicit formula
can someone plz plz plz help me
Answer:
Definition of exterior lines. : lines of operations of one or more armed forces converging upon a centrally situated opponent.
Step-by-step explanation:
Write a system of equations that has a sum of 1 and a difference of 9
Answer:
1 + 0 = 1
100 - 91 = 9
Step-by-step explanation:
what is 111 × 111 ÷ 14
Answer:
880.071428571
Step-by-step explanation:
You could use a calculator btw but its ok happy to help :D
What is the value of y in the equation 9 + y = 8? this is extremely time sensitive
You have to switch the 8 to the left and the y to the right which would change the equation to 9-8=y
y=1
Answer: y =-1
Step-by-step explanation:y =-1
Last option is correct.
Step-by-step explanation:
The given equation is
In order to solve for y, we need to isolate y.
In this equation 9 is added with y and hence in order to eliminate 9 from the left hand side, we do reverse operation of addition.
The reverse operation of addition is subtraction. Hence, we subtract 9 to both sides of the equation
A drill is used to dig down into the earth. After 2 hours, the drill is 12 meters below the surface. After 5 hours, the drill is 30 meters below the surface. Which equation represents the depth of the drill in meters, y, after x hours of drilling?
Answer:
6y = x
Step-by-step explanation:
All that equation is saying is that for every 1 hour drilled (x), 6 meters (y) are drilled.
y = distance in meters
x = time
12y = 2x
12y/2 = 2x/2
6y = x
30y = 5x
30y/5 = 5x/5
6y = x
The equation representing the depth of the drill in meters, y, after x hours of drilling is y = -6x
Since the slope is 3, hence it passes through the point (-4.67, 0). Hence the equation of the line is y = 3x + 14.
A linear equation is in the form:
y = mx + b;
where m is the slope, b is the y intercept and y, x are variables.
Let y represent the depth of drill in meters after x hours of drilling. Hence:
Since after 2 hours, the drill is 12 meters below the surface, it can be represented by (2, 12). Also after 5 hours, the drill is 30 meters below the surface, it can be represented by (5, 30)
The equation of the line is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\\\y-(-12)=\frac{-30-(-2)}{5-2}(x-2) \\\\y+12=-6(x-2)\\\\y+12=-6x+12\\\\y=-6x[/tex]
The equation representing the depth of the drill in meters, y, after x hours of drilling is y = -6x
Find out more at: https://brainly.com/question/19426333
Therefore the graph is attached below.
Find out more at: https://brainly.com/question/13911928
help me fast please I give brainliest answer
I need help with these
Answer:
Step-by-step explanation:
5) -7 (-15w + 21) + 3(18 - 27w)
Step 2: 105w - 81w - 147 + 54
6)
step 3: 24w - 93
In what country would one be able to see a fjord? A. Argentina B. Suriname C. Colombia D. Brazil
Answer:
Argentina
Step-by-step explanation:
this is the correct answer
Help ASAP if you want brainliest, five stars, thanks, and friends list.
Answer:
1. (11r+32)+11t
2. 11(r+t)+32
3. 11r+11t+32
Step-by-step explanation:
b) Given that BC = 5 cm,
work out the perimeter of the triangle.
Answer:
perimeter BC=5
PERIMETER = THE SIDES OR SURFACE
SO ITS
5+5+5= 15
The Bigtown football team outscored its opponents 5:2 last season.
If their opponents scored 38 points, how many points did Bigtown
score?
Step-by-step explanation:
5:2 add to find total ratios 7
opponents=2/7=38
bigtown=5/7=95
Answer: The big town team scored 95 points.
Step-by-step explanation: Given that the big town football team outscored its opponents 5:2 last season and their opponents scored 38 points.
We are to find the points scored by big town team.
Let 5x and 2x represents the points scored by big town team and their opponents.
Then, according to the given information, we have
2r = 38
r = 38/2
r = 19
Therefore, the points scored by big town team is given by
5 X 19 = 95.
Thus, the big town team scored 95 points.
What is the value (in degrees) of angle Z1?
55°
<1
mZ1
-
HELP
Answer:
8302
Step-by-step explanation:
I need help will mark BRAINLIEST if right!!!!!!!!
Answer:
Alternate Interior Angles
Step-by-step explanation:
Both angles are on the inside on opposite ends.
Answer:
Angle 3 and 6 are alternate interior angles
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Answer:
Bonita shihihihihi
Jsoajwu
What is the correct answer for both?
Answer:
19) D (-8, -2)
20) B (0, 8)
Step-by-step explanation:
-x - y = 10
-6x + 11y = 26
-x - y = 10
-x = 10 + y
x = -10 - y
-6x + 11y = 26
-6(-10 - y) + 11y = 26
60 + 6y + 11y = 26
60 + 17y = 26
17y = -34
y = -2
-x - y = 10
-x - (-2) = 10
-x + 2 = 10
-x = 8
x = -8
_______________
-x + y = 8
3x + 2y = 16
-x + y = 8
y = 8 + x
3x + 2y = 16
3x + 2(8 + x) = 16
3x + 16 + 2x = 16
5x + 16 = 16
5x = 0
x = 0
-x + y = 8
-0 + y = 8
y = 8
5 stars and a thank you
Answer:
ok
Step-by-step explanation:
Select the point shown on the coordinate plane for each ordered pair. The point is located at (3, 9). The point is located at (9, 3). The point is located at (6, 5). The point is located at (5, 6).
Answer:
a,d,b,c
Step-by-step explanation:
The graph is attached below, in which all points are shown.
Coordinate points:Two intersecting straight lines used as reference lines in plane know as coordinate axes.
A coordinate point (a, b) represent 'a' as x - coordinate and 'b' as y- coordinate.
Given points are, [tex](3,9),(9,3),(6,5),(5,6)[/tex]
All points shown in the attached graph below.
Learn more about the coordinate points here:
https://brainly.com/question/17206319
What does perimeter mean?
Answer: Perimeter is the distance around the outside of a shape the formula is L + W (Add all side of the shape Length + Width) the orders and operations of Perimeter is multiplying the sides of the outside of a shape. I hope this helps!
I might redo this comment.
Answer:
the continuous line forming the boundary of a closed geometric figure
Step-by-step explanation:
that is what perimeter means. if i understand the question correctly. sorry if i don't.
What is equivalent ratio in lower terms of 55:30
Answer:
11/6
Step-by-step explanation:
Answer:
the simplest form is 11/6