Answer:
91.44 (or 91.4375)
Step-by-step explanation:
The formula for finding the area of the triangle is bxh/2
19 1/4 = 19.25, 9 1/2 = 9.5
So, 19.25(b)x9.5(h)=182.875
182.875/2= 91.4375
Round the answer: 91.44
Explanation:
Any function that has a derivative that changes sign will have an extreme value (maximum or minimum). If the derivative never changes sign, the function will not have any extreme values.
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Logarithmic, exponential, and certain trigonometric, hyperbolic, and rational functions are monotonic, having a derivative that does not change sign. Odd-degree polynomials may also have this characteristic, though not necessarily. These functions will not have maximum or minimum values.
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Certain other trigonometric, hyperbolic, and rational functions, as well as any even-degree polynomial function will have extreme values (maximum or minimum). Some of those extremes may be local, and some may be global. In the case of trig functions, they may be periodic.
Composite functions involving ones with extreme values may also have extreme values.
Step-by-step explanation:
7a
x2 + 4x + ax + 4a
x2 + ax + 4x + 4a
x (x + a) + 4 (x + a)
:(x + 4)(x+a)
7d
x2+2x-ax-2a
x2-ax+2x-2a
x (x-a)+2 (x-a)
:(x+2)(x-a)
7h
x2-2bx-5x+10b
x2-5x-2bx+10b
x (x-5)-2b(x-5)
:(x-2b)(x-5)
Answer:
Roberta will jog 13 laps on the sixth day.
Step-by-step explanation:
In the pattern 3, 5, 7 we can see it is adding 2 each day.
Keep adding 2 until you get to 13, which is the sixth day.
Answer: y2-y1/x2-x1
Step-by-step explanation: The x of the points are -7 and -4. The y of the points are 3 and 3. That means that the points -7 and -4 pass through the the x axis, and the same with the y. Now, just plug in the numbers and solve.