I’m terms of 12 in is the correct answer.
Your table of values is so difficult to read that many of us helpers would just skip your post.
<span>x f(x) -6 2.5 -2 2.5 0 2 2 0 3 5 5 2.5 1 0.5</span> could be put into far clearer format as follows:
x f(x)
-- -----
-6 2.5
-2 2.5
and so on. Please fix it.
The "average rate of change" formula is
f(x2) - f(x1)
av r of c = ---------------
x2-x1
so if you go from (-6, 2.5) to (2.5, 10.5), the av r of c would be
10.5 - 2.5 9 18
------------------ = -------- = -----
2.5-(-6) 8.5 17
This may or may not be your final answer. Again, please put your data table into readable form and then find the av r of c over the interval [-2,3].
Answer:
Step-by-step explanation:
Use FOIL method.First multiply (5x + 1) and (3x - 4). Then multiply (15x² - 17x - 4) by (x +2)
Volume of the rectangular prism = length *width * height
= (5x + 1) (3x -4)(x +2)
= [ 5x*3x + 5x*(-4) + 1*3x + 1*(-4) ] (x + 2)
= [15x² <u>- 20x + 3x</u> - 4] (x +2) {Combine like terms}
= [15x² - 17x - 4] (x + 2)
=[15x² -17x - 4]*(x) + [15x² - 17x -4]*2
= [15x²*x - 17x*x - 4*x ]+ 15x²*2 - 17x *2 - 4*2
= 15x³ - 17x² - 4x + 30x² - 34x - 8
= 15x³ <u>- 17x² + 30x²</u> <u>- 4x - 34x </u>- 8 {Combine like terms}
= 15x³ + 13x² - 38x - 8
Answer: The answer is option C: 10cm, 6cm and 8cm
Step-by-step explanation: A right angled triangle has an hypotenuse (the longest of all three sides) facing the 90 degree angle. Also a right angled triangle can be solved by means of the Pythagoras theorem which states that;
AC^2 = AB^2 + BC^2
Where AC is the hypotenuse (10cm) and AB (6cm) and BC (10cm) are the other two sides.
If that is the case, we can insert the values as given in option C to know whether or not they make up a right angled triangle. Therefore
10^2 = 6^2 + 8^2
100 = 36 + 64
100 = 100
Therefore the side lengths 10cm, 6cm and 8cm satisfies the requirements for a right angled triangle
Answer:
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