S is a geometric sequence.
a) (1x + 1), 1 and (rootx - 1) are the first three terms of S.
Find the value of x.
You must show all your working.
b) The 5 term of S can be written in the form a V2 + b
where a and b are integers
Find the value of a and the value of b
Answers
Answer: your answer would be 2
Step-by-step explanation:
Related Questions
a toy rocket is launched from the top of a 48 foot hill. the rockets initial upward velocity is 32 feet per second and its height (h) at any given second (t) is modeled by the equation : h= -16t^2 + 32t +48.
Find the highest point the rocket reaches. show your work
Answers
Answer:
Maximum height is 64 feet
Step-by-step explanation:
For all: h= -16t²+ 32t + 48
1) AOS -> a = -16; b = 32; c = 48
x = -b/2a -> x= -32/(2×-16) = -32/-32 = 32/32 = 1/1 = 1
2) Plug in AOS
h = -16(1)² + 32(1) + 48
h= -16 + 32 + 48
h= 16 + 48
h= 64
Max height is 64
The first four terms of a sequence are shown below: 9, 5, 1, â’3 Which of the following functions best defines this sequence? f(1) = 9, f(n 1) = f(n) â’ 4; for n ≥ 1 f(1) = 9, f(n 1) = f(n) 4; for n ≥ 1 f(1) = 9, f(n 1) = f(n) â’ 5; for n ≥ 1 f(1) = 9, f(n 1) = f(n) 5; for n ≥ 1.
Answers
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
:https://brainly.com/question/12637273
The sporting goods store with 30% off all items . If a skateboard is normally $70 , what would be the approximate sale price of the skateboard
Answers
Answer:
$49
Step-by-step explanation:
70 x 30%
70 x 0.3
21
70 - 21
49
7 1/2- 3 7/10 or Seven and a half subtract three and seven tenths.
Answers
Answer:
3.8 is the answer to your problem. Happy Holidays!
if the restaurant donated $690 to the soup kitchen what we’re the total sales for the day
Answers
Answer:
Total sales = x + $690
Step-by-step explanation:
x = amount of sales in a day
Donated amount = $690
Total sales = amount of sales in a day + Donated amount
Total sales = x + $690
Solve 5/4=y−1/4. i need help
Answers
Answer:
I don't know
Step-by-step explanation:
Find the unknown side (w) of the rectangular solid. Please help..
Answers
Answer:
2 cm
Step-by-step explanation:
8x13=104
208/104=2
Just gonna attach a picture of the problem so it’s easier
Answers
Answer:
Step-by-step explanation:
Part A
The first thing you have to do is develop a formula for the line.
It goes through (-2,3)
It has a y intercept of (0,-1)
So far what you know is
y = mx - 1
x = - 2
y = 3
3 = m(-2) - 1 Add 1 to both sides
3 + 1 = (-2)*m
4 = - 2*m Divide by - 2
4/-2 = m
m = - 2
The equation of the line is y = -2x - 1
Instead of y, we can use f(x)
f(x) = -2x - 1
Finally we can solve this part of the question.
f(1) = - 2(1) - 1
f(1) = -2 - 1
f(1) = - 3
Part B
f(x) = 5
y = 5
5 = -2x - 1 Add 1 to both sides
5+1 = - 2x Divide by - 2
6 / -2 = -2x/-2
-3 = x
Exterior Angles and Isosceles Triangles
Answers
Step-by-step explanation:
this is not an isoceles triangle.
anyway, we need to remember 2 things :
1. the sum of all angles in a triangle is always 180°.
2. the sum of all angles around a single point on a line is 360° (as this point wound be the center of an invisible circle). and as the line cuts this circle in half, the angles on one side of the line around this point is therefore 180°.
so, the internal angle Q is then
180 = 50 + 55 + Q
Q = 180 - 50 - 55 = 180 - 105 = 75°
the exterior angle x at Q is then
180 = Q + x = 75 + x
x = 180 - 75 = 105°
Interior angles =180_69=111
Each time Bobby rides the JUTC bus, money will be deducted from the value of his card. He rode the bus 5 times and his card was charged $100. What integer best represents the the amount by which the balance of the card changed each time it was used?
Possible Answers
A. -$500
B. $20
C. -$20
D. $500
Answers
Answer:
b
Step-by-step explanation:
100/5= 20
he was charhed 20
can someone help? No explanation needed :')
Answers
Please mark me as brainliest
Solve each inequality:
a. x + 3 < 4
b. x - 3 > 5
_
c. 4 > x - 2
d. -2 < x + 1
_
Answers
Answer:
A) X<1
B) X>7
C)X<6
D)X>-3
Which equation represents a line that is perpendicular to the line represented by 2x - y = 7?
Answers
Answer:
the answer is number 1 )
Step-by-step explanation:
we know that
if two lines are perpendicular
so
the slopes
m1*m2=-1
we have
2x-y=7-------> y=2x-7------------> slope m1=2
find slope m2
m2=-1/m1------> m2=-1/2
the slope m of the perpendicular line must to be -1/2
so
the answer is
y = -1/2x + 6
Please write a rule for this table BEGGING
Answers
Answer:
y = 3x = 1
Step-by-step explanation:
Answer:
y = 3x - 1
Step-by-step explanation:
Check. Plug in the given x, and see if the result is the given y:
y = 3x - 1
When: (x = 8 , y = 23)
23 = 3(8) - 1
23 = (3 * 8) - 1
23 = (24) - 1
23 = 23 (True).
When: (x = 2 , y = 5)
5 = 3(2) - 1
5 = (3 * 2) - 1
5 = 6 - 1
5 = 5 (True)
When: (x = -3 , y = -10)
-10 = 3(-3) - 1
-10 = (3 * -3) - 1
-10 = (-9) - 1
-10 = -10 (True).
When (x = 9 , y = 26)
26 = 3(9) - 1
26 = (3 * 9) - 1
26 = (27) - 1
26 = 26 (True).
When you graph, simply graph the given points (bolded) onto the graph.
ASAP
Jeremy is solving this system of equations algebraically. Which equation could be a step in his work?
y = 3x + 1
4x - 3y = -13
Answers
Answer:
3x+14x
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
3. Calculer le volume d'un cylindre de rayon 4 cm et de hauteur 15 cm ( valeur exacte puis arrondie au centième
Answers
Answer:
4*15*pi
188.495559215
188.50
Answer:
188.50
Step-by-step explanation:
F(x)=80-15x. When x is 2.5, what is the function's value?
Answers
F(2.5) = 80 - 15(2.5)
Simplify
= 80 - 37.5
= 42.5
Hope this helps!
Brainliest is much appreciated!
how many possible number of facemask and face shield can an online seller could sell to get an amount of the least php2 000 based on the data above
Answers
Please don’t answer just for points! Help is really needed~
Answers
i dont understand
what do we need to do?
2 is 65
3 is 148
4 is 32
I am not sure at all.
Question in picture
Answers
Answer:(-8,6) (-5,8
Step-by-step explanation:
need help asap plz help
Answers
Number three is D and number 4 is also D.
Explanation for number three:
When you divide 12 by 3, you get 4. This gives us the number we need to multiply 10 by to get our answer. 10 x 4 = 40
Explanation for number 4:
In the last question, the first step to getting to the answer was to divide the first two numbers. This is no different. When you divide 32.5 by 5, you get 6.5. Then you multiply 10 and 6.5, which equals 65.
Katrina is solving the equation x minus 2 (x 3) = 4 (2 x 3) minus (x 4). Which equivalent equations might Katrina use? Check all that apply. X minus 2 x minus 6 = 8 x 12 minus x minus 4 x minus 2 x 6 = 8 x 12 minus x 4 x minus 2 x minus 6 = 8 x 12 minus x 4 x minus 2 x 3 = 8 x 3 minus x 4 Negative x minus 6 = 7 x 8 Negative x 6 = 7 x 16 Negative x minus 6 = 7 x 16 Negative x 3 = 7 x 7.
Answers
The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Given the equation solved by Katrina expressed as;
x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).Expand using distributive law;
x - 2x - 6 = 4(2x) + 4(3) - x - 4
x - 2x - 6 = 8x + 12 - x - 4
-x - 6 = 7x + 8
-x - 7x = 8 + 6
-8x = 14
x = 14/-8
x = -7/4
Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Learn more on expressions here: https://brainly.com/question/24734894
The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Given the equation solved by Katrina expressed as;
x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).
Expand using distributive law;
x - 2x - 6 = 4(2x) + 4(3) - x - 4
x - 2x - 6 = 8x + 12 - x - 4
-x - 6 = 7x + 8
-x - 7x = 8 + 6
-8x = 14
x = 14/-8
x = -7/4
Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x - 4
Learn more on expressions here: brainly.com/question/24734894
Find profit or loss percent if CP-Rs 900 and loss =Rs 360
Answers
loss%=loss/CP×100%
=Rs.360/Rs.900×100%
=Rs. 360/9
loss% =40% ans
Can someone help me please?
Answers
Answer: a=(3,-4)
B=(3,-1)
C=(5,-2)
Step-by-step explanation:
Which option is an example of a survey?
A. Asking students in a school how much time they spend exercising
B. Flipping a coin 50 times and counting the number of heads
C. Measuring the heights of the players on the basketball team
D. Testing the effectiveness of a new reading program by allowing a
classroom to use it and comparing the results with another
classroom that doesn't use it
Answers
Answer:
I think the answer is A
Step-by-step explanation:
The example of a survey are; A. Testing the effectiveness of a new reading program by allowing a classroom to use it and comparing the results with another classroom that doesn't use it
What is an survey?An survey is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before.
Since Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.
The survey asks participants to quantify their trust in politicians while a numerical scale, with 1 being the least amount of trust.
Example of a survey;
Testing the effectiveness of a new reading program by allowing a classroom to use it and comparing the results with another classroom that doesn't use it
To learn more about experiments refer to:
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#SPJ2
What is this expression translated into words?
2n + 1
a
one plus 2 divided by a number n
b
2 times 1 added to a number n
c
two times a number n added to one
Answers
Answer:
C. two times a number n added to one
algebra 1
F(x) passes through 0, -1 and 5 , 14
G(x) passes through -6 , -1 and -1, 14
Describe two types of transformations that can be used to transform f(x) to g(x)
Solve for k in each type of transformation.
Write an equation for each type of transformation that can be used to transform f(x) to g(x).
Answers
g(x)= -6, -1, -1, 14
g(x)=f(x)+k
-6= 0+k
K=-6
A)
B) g(x)=f(x)+k
-1=-1+ k
k=-1+1=0
> 5.0
q(x)=f(x)+k
-1=5+k
k=-1-5=-6
g×=f×+k
14= 14+k
k= 0
K=-6,0,-6,0
The following are the ages of 13 mathematics teachers in a school district.
29, 30, 32, 38, 39, 43, 43, 44, 45, 46, 46, 57, 60
Notice that the ages are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
Five-number summary
Minimum:
a
Lower quartile:
Median:
0
Upper quartile:
Maximum:
Interquartile range:
Answers
Answer:
Minimum: 29
Lower Quartile: 35
Median: 43
Upper Quartile: 46
Maximum: 60
Interquartile Range: 11
Step-by-step explanation:
help me with this pls
Answers
Answer:
Johnathan started out with 17 videogames
25-8=17
46. An olympic athlete has just completed a four mile run. His average time was 6 minutes per mile. If he ran the first and last mile in 5 minutes, and the other 2 were the same time as each other, what was the average time for the 2 miles in the middle
Answers
Answer:
7 minutes
Step-by-step explanation:
average time = 6 minutes per mile
sum = average * count = 6 minutes / mile * 4 miles = 24 minutes
first + last mile = 5 + 5 = 10 minutes
first + second + third + last mile = sum = 24 minutes
second + third = sum - first - last = 24 - 5 - 5 = 24 - 10 = 14 minutes
average of 2 miles in the middle = sum / count = 14 minutes / 2 = 7 minutes