Answer:
(d) 6
Step-by-step explanation:
The degree of a composition of polynomials is the product of the degrees of the contributing functions.
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f(g(h(x))) = -(3(2x+5)² -1)³
f(g(h(x))) = -1728x⁶ -25920x⁵ -161568x⁴ -535680x³ -996336x² -985680x -405224
The degree of (f∘g∘h)(x) is 6.
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3×2×1 = 6
Answer:
The reasonable estimate for the problem is 8.
Step-by-step explanation:
Given:
The problem -3/2 times (-5 1/4)
Now, convert the mixed fraction into improper.
Then, multiply the numerator with numerator and denominators with denominator.
Whenever the same signs multiply the product are in positive.
Now, convert the resulting improper fraction into mixed.
.
Estimate value of 7 7/8 is 8.
Therefore, the reasonable estimate for the problem is 8.
Using the chain rule: The derivative of e^u is (e^u)(u'). Notice that e^u is rewritten exactly as is and then multiplied by the derivative of the exponent.
Let u=2x. So u'=2
So the derivative of e^u is e^(2x)*2 This can also be written as 2e^(2x).
Answer:
positive association
linear association
Step-by-step explanation:
It is said that two variables A and B are related when the distribution of the values of one of the two variables differs according to the values of the other.
That is, when variable A grows then variable B also grows. This is known as positive correlation
When variable A grows then variable B decreases. This is known as negative correlation.
In the scatter plot you may notice that when variable A increases then variable B also increases, in an approximately linear relationship. Therefore it can be said that there is a positive and linear association.
The answer is the fourth and fifth option.