<h3>
Answer: 65</h3>
============================================================
Explanation:
We'll need to compute the difference quotient. In this case, we need to find what is equal to. It's called a difference quotient because there's a subtraction in the numerator (aka "difference") and we're dividing to form the quotient.
The idea is that as h approaches 0, then that expression I wrote will approach the derivative we're after. Keep in mind that h will technically never get to 0 itself. It only gets closer and closer.
Anyways, let's compute first
Then we'll subtract off g(t)
A very important thing to notice: the terms that don't have any 'h's in them have been canceled out (eg: 5t^2 combined with -5t^2 added to 0). Why is this important? It's because we need to factor 'h' out and we'll have a pair of 'h's cancel like so
The left hand side cannot have h = 0, or else we have a division by zero error. But if we approached 0 (not actually getting there), then the expression 5h+10t+5 will approach 5(0)+10t+5 = 10t+5
---------------------
In short: The derivative of is
In terms of symbols,
Later on in calculus, you'll learn a shortcut so you won't have to compute the difference quotient every time you need a derivative. Refer to the power rule for more information.
After we find the derivative, it's as straight forward as plugging in t = 6 to compute g ' (6)
Side note: This tells us that the slope of the tangent line is m = 65 when t = 6. In other words, this line is tangent to g(t) when t = 6, and this particular tangent line has slope m = 65.
Answer:use a right triangle calc. On the web it does it for you and shows you how it got the answer.
Step-by-step explanation:
Answer:
Option A is correct
A. Neither
Step-by-step explanation:
Given:
Two points are given (2, 15) and (0, 5)
Let and
The slope of the line
Put all known value in above equation.
So the slope of the line .
The equation of the is
-------------------(1)
Where m is the slope of the line and b is y-intercept of the line.
Take point (0, 5) to compute the value of b.
Put in equation 1.
Take point (2, 15) to compute the value of b.
Put in equation 1.
So the equation of the line is.
Put m and b value in above equation.
------------(2)
add 10 both side in equation 2.
So the equation of line that passes through the point (2,15) and (0,5) is.
or or
Therefore, Neither the following equations represents a line that passes through the points (2,15) and (0,5).
So in this problem we can state that each T-shirt costs S19 each. And if Kate buys two she gets a 30% off with the second shirt she buys. <span>And how much will she pay?
Solution:</span> <span><span>
1. </span>19 for each t-shirt</span> <span><span>
2. </span>Total of $38 if not provided with 30% off</span>
<span><span>3. </span>19 x 0.3 = 5.7</span>
<span><span>4. </span>Hence 30% of $19 is $5.7</span>
<span><span>5. </span>Next is we deduct $5.7 which is 30% of $19.</span> <span><span>
6. </span>19 – 5.7 = $13.3</span> <span><span>
7. </span>Therefore we add one shirt for $19 and the second, less 30% off which now only costs for $13.3.</span> <span><span>
8. </span>19 + 13.3 = 32.3</span>
<span><span>9. </span>Conclusively, she will pay $32.3 for the shirts.</span>
When adding fractions it is imperative that you use the same base (denominator). since these two numbers share base then you can add the numerators. we can represent this as