Answer:
2x+h
Step-by-step explanation:
f(x+h) means that wherever there's an x in the function f(x) we plug in a x+h
we have
(x+h)²+9
Let's start with the numerator
(x+h)²+9-(x²+9)
Distribute the exponent
x²+2xh+h²+9-x²-9
Which gives us
2xh+h²
Divide the whole thing by h to give us
2x+h
Answer:
Step-by-step explanation:
We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:
On the interval [-1, 1] using five equal rectangles.
Find the width of each rectangle:
List the <em>x-</em>coordinates starting with -1 and ending with 1 with increments of 2/5:
-1, -3/5, -1/5, 1/5, 3/5, 1.
Since we are find the right-hand approximation, we use the five coordinates on the right.
Evaluate the function for each value. This is shown in the table below.
Each area of each rectangle is its area (the <em>y-</em>value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function <em>f(x)</em> over the interval [-1, 1] using five equal rectangles is:
Answer:
You can tell whether or not something is positive or negative by looking at the specific number for example if you look at this number -5 you know its a negative number because it has a - sign.Although when its positive it does not have any kind of format of signs according to my calculations.
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Answer:
The area of a rhombus is square units.
Step-by-step explanation:
Side length of rhombus = 6 units.
Interior angle of rhombus = 120°
another Interior angle of rhombus = 180°-120° = 60°.
Draw an altitude.
In a right angled triangle
Multiply both sides by 6.
The height of the rhombus is .
Area of a rhombus is
Therefore, the area of a rhombus is square units.
You have the starting price of $1.99. To get the increased price, divide 1.99 by .56 (.56 is the decimal form of 56%). You would get $3.55. This is for the year 2007. So for 2008, divide 3.55 by .42. The answer is $8.45. You can check the answers by multiplying the answers you go the the percentage. Ex. 8.45* .42=3.55 (rounded)