Answer:
.
Step-by-step explanation:
Differentiate each function to find an expression for its gradient (slope of the tangent line) with respect to 
. Make use of the power rule to find the following:
.
.
The question states that the graphs of 
and 
touch at 
, such that 
. Therefore:
.
On the other hand, since the graph of and coincide at , 
(otherwise, the two graphs would not even touch at that point.) Therefore:
.
Solve this system of two equations for 
and 
:
.
Therefore, 
whereas 
.
Substitute these two values back into the expression for and :
.
.
Evaluate either expression at to find the 
-coordinate of the intersection. For example, 
. Similarly, 
.
Therefore, the intersection of these two graphs would be at .
8*8 = 64
9*9 = 81
so integer part of sqrt 70 is 8 Answer
The explicit formula for the sequence is 3n -10
<h3>What is an Arithmetic Sequence ?</h3>
An arithmetic sequence is a series of terms which have common difference between its consecutive numbers.
The sequence given is
−7, −4, −1, 2, 5, …
The common difference between each term is d =3
-4-(-7) = 3
-1-(-4) =3
The nth term for a sequence is given by
Here a is the first term = -7
n is the no. of terms = n
d is the common difference = 3
Therefore the equation will be
= -7 +3n -3
= 3n -10
Therefore the explicit formula for the sequence is 3n -10 .
To know more about Arithmetic Sequence
brainly.com/question/15412619
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Answer:
3/2
Step-by-step explanation:
3/4 * 2 = 6/4 = 3/2
Hi there!
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I believe your answer is:
31.69
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Here’s why:
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- '9' is in the hundredths place. The rounding is the digit to it's right, or '3'.
- Since 3 is less than or equal to 4, we would round down.
⸻⸻⸻⸻
31.693 ≈ 31.69
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Hope this helps you. I apologize if it’s incorrect.
