A(n) = -5 + 6(n - 1)a(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, min
DENIUS [597]
Answer:
The 12th term is 61
Step-by-step explanation:
I will assume that your a(n) = -5 + 6(n - 1) is correct; the rest is redundant (duplicative, unneeded).
To find the 12th term, substitute 12 for n in the above formula:
a(12) = -5 + 6(12 - 1) = -5 + 6(11) = 66 - 5, or 61
The 12th term is 61
The amount of orange that Manny and Josh have leftover after eating lunch is 1.
<h3>What are fractions?</h3>
A fraction is a non-integer. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below
<h3>How much orange is leftover?</h3>
Oranges Manny has left = 1 - 4/9 = 5/9
Oranges Josh has left = 1 - 5/9 = 4/9
Oranges they both have left = 5/9 + 4/9 = 1
To learn more about subtraction of fractions, please check: brainly.com/question/915789
Answer:
k=24
Step-by-step explanation:
The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.
f=-x^2+8x+20
Differentiating both sides:
f'=(-x^2+8x+20)'
By sum rule:
f'=(-x^2)'+(8x)'+(20)'
By constant multiple rule:
f'=-(x^2)'+8(x)'+(20)'
By constant rule:
f'=-(x^2)+8(x)'+0
By power rule:
f'=-2x+8
f' at x=a is -2a+8
This is the slope of any tangent line to the curve f.
The slope of g is 4 if you compare it to slope intercept form y=mx+b.
So we gave -2a+8=4.
Subtracr 8 on both sides: -2a=-4
Divide both sides by -2: a=2
The tangent line to the curve at x=2 is y=4x+k.
To tind y we must first know the y-coordinate of the point of tangency.
If x=2, then
f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32
So the point is (2,32).
g(x)=4x+k and we know g(2)=32.
This gives us:
32=4(2)+k
32=8+k
k=32-8
k=24
Answer: -2x^2 (3x^2 + 8)
Step-by-step explanation: a^b+c =a^b a^c
1) -16x^2 - 6x^ x^2
2) Rewrite -16 as -2 * 8
2.a Rewrite -6 as -2 * 3
= -2 * 8x^2 - 2 * 3x^2x^2
3) facter out common term: -2x^2
= ur answer
Answer:
The correct answer is - 900
Step-by-step explanation:
A palindrome is a positive integer that is same whether read from left to right or from right to left. For example, 123321 palindromes.
An n-digit palindrome is determined from the first n/2 digits if n is even, and from the first n+1/2 digits if n is odd.
Therefore, if n is even, there are 9×10⁽n⁻²/²⁾ palindromes; and if n is odd, there are 9×10⁽n₋²/²⁾ palindromes. where n is number of digits.
For n=5 , there are 9×10²=900 palindromes
