Answer:
<h2>The answer is 49</h2>
Step-by-step explanation:
Since the sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
To find the 10th term of the sequence first find the first term and the common difference
From the question
a = 4
d = 9 - 4 = 5 or 14 - 5 = 9
Since we are finding the 10th term
n = 10
Substitute the values into the above formula
That's
A(10) = 4 +(10-1)5
= 4 + 9(5)
= 4 + 45
We have the final answer as
<h3>A(10) = 49</h3>
Hope this helps you
The answer is 423 since it's the closest number to 400 from all the numbers listed above.
The numbers 351 and 445 would also round to 400 but they are not the closest ones.
Hope it helped,
BioTeacher101
Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
To tell if an equation has infinite solutions, the equation will be equal to each other.
For example,
x = x
x + 1 = x + 1
x - y = x - y
And so on...
And in special cases,
0x = 0
0x = 0(y + 1)
They have infinite solutions because there's no constant to determine the variable.
