For f(x)=2x+1 and g(x)=x^2-7 find (f•g)(x)
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(f•g)(x) = 2x^3 + x^2- 14x - 7
............................................
Answer:
^he right
Step-by-step explanation:
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4x+11<23 solve this equation
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How is the quotient 80,000 divided by 2,000 different from the quotient 80,000 divided by 200 or 80,000 divided by 20?
Sam had four test last month his scores were 81 94 83 and 91 what is the median of his scores
which has more volume a cube of sides measuring 4 units each or a sphere with a radius of 3 units
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V sphere = 4*π*3^3/3 = 4*π*9 = 36*π≈113
V sphere > V cube.
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10x + 5 =
try to use those examples
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The nthterm for the sequence is 4n + n².
The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.
What is a sequence?
A sequence is a group of numbers where there is a relation between each consecutive value.
We have,
5, 12, 21, 32,
We see that,
The difference between the consecutive numbers is 7, 9, 11, 13, 15,
We can make a formula for the nth term.
4n + n²
Where n = 1, 2, 3, 4, ,,,,
Now,
Let the two consecutiveterms be n and (n +1).
4(n + 1) + (n + 1)² - 4n - n² = 245
4n + 4 + n² + 2n + 1 - 4n - n² = 245
4 + 2n + 1 = 245
2n + 5 = 245
2n = 240
n = 120
And,
n + 1 = 121
So,
The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.
Thus,
The nthterm for the sequence is 4n + n².
The two consecutiveterms in the sequence where the difference will be 245 are 120 and 121.
Learn more about sequence here:
#SPJ6
12-5 = 7
21-12 = 9
32-21 = 11
Second difference
9-11 = 2
11-9 = 2
second difference is constant so it could defined by quadratic formula,
u(x) = ax^2 + bx + c
because 2a = Second difference = 2
so a = 1
then u(x) = x^2 + bx + c
build equations from known values to find b and c
for x=1, u(1) = 5 = 1^2 + b(1) + c
b + c = 4 ...(1)
x=2, u(2) = 12 = 2^2 + b(2) + c
2b + c = 8 ... (2)
solve b = 4, c =0
so u(x) = x^2 + 4x ... formula for n term (i use x not n here)
difference between consecutive term is 245, we have
245 = u(x+1) - u(x)
245 = (x+1)^2 + 4(x+1) - (x^2 + 4x)
245 = x^2 + 2x + 1 + 4x + 4 - x^2 - 4x
245 = 2x + 5
x = 120
it's between term 120 and 121
graph is y=2
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Answer:
20
Step-by-step explanation:
To find the explicit equation for an arithmetic sequence, we can use the formula:
a_n = a_1 + d(n - 1)
where a_n is the n-th term of the sequence, a_1 is the first term of the sequence, and d is the common difference. Plugging in the values for this sequence, we get:
a_n = 100 + (-20)(n - 1)
Simplifying, we get:
a_n = 120 - 20n
This is the explicit equation for the sequence 100, 80, 60, 40, … You can use this equation to find any term of the sequence by plugging in the value of n. For example, to find the fifth term of the sequence, you can plug in n = 5 and get:
a_5 = 120 - 20(5) = 120 - 100 = 20