Answer: The average rate of change from x=-1 to x=2 is -1
Solution:
f(x)=x^4-2x^3
x f(x)
-1 3
0 0
1 -1
2 0
3 27
Average rate of change from x=-1 to x=2: r=?
Average rate of change from x=a to x=b: r=[f(b)-f(a)]/(b-a); a=-1, b=2
a=-1→f(a)=f(-1)=3 See table
b=2→f(b)=f(2)=0 See table
Replacing the values in the formula:
r=(0-3)/(2-(-1))
r=(-3)/(2+1)
r=(-3)/(3)
r=-1
Answer: The average rate of change from x=-1 to x=2 is -1
ANSWER
False
EXPLANATION
The tangent function has no amplitude because it is not bounded.
The given tangent function is
This is of the form
f(t)=a tan(bt)
The period is given by
The first statement is true but the second is false.
Hence the whole statement is false.
9514 1404 393
Answer:
B) obtuse
Step-by-step explanation:
I like to answer these questions using a "form factor" (f) computed as ...
f = a² + b² - c² . . . . . . . where a, b, c are side lengths with c the longest
Then ...
f = 9² +12² -17² = 81 +144 -289 = -64
The negative value indicates an obtuse triangle (largest angle more than 90°).
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f = 0 indicates a right triangle; f > 0 indicates an acute triangle.
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<em>Additional comments</em>
You may recognize that the two short sides have the ratio 9:12 = 3:4. You know a (3, 4, 5) triangle is a right triangle, so this triangle would be a right triangle if the longest side were 15. Since it is 17, you know the largest angle is more than 90°.
This "form factor" is related to the angle computation you would do to find the measure of the largest angle using the law of cosines. That angle is ...
C = arccos(f/(2ab)) = arccos(-64/216) ≈ 107.2°
Since the factor (2ab) is always positive, the sign of "f" tells you the sign of the cosine of the angle. It is negative for angles greater than 90°.
I believe it is $7.30 You are not multiplying by $0.02 but simply adding on $0.02 until you get to the end of the year. Next, you would use the formula S (savings) = (n/2)(t + o), where (n) is the number of terms, number of day, (t) is the first term, and (o) is the original (years worth of money) term. So, (365/2)(0.02 + 7.3) = 1335.9.
Your answer is $1335.90.
100cm is equivalent to 1m so 500cm is equivalent to 5m. What you need to do is divide 500cm (5metres) by 25cm (one quarter of a metre). So the number sentence using 'division' should look like 500cm divided by 25cm which equals 20. Don't forget to use proper symbols for division though. Let me know if this helps:)