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MaRussiya [10]
3 years ago
13

An amusement park offers an entrance fee discount of 20% to children under 6 years of age and seniors 65 or older. What is the r

ange of ages that receive the 20% discount fee at the park? Use the appropriate interval notation for either a solution set for a conjunction or a disjunction.
Mathematics
1 answer:
Temka [501]3 years ago
5 0

Answer:

  [0, 6) ∪ [65, ∞)

Step-by-step explanation:

Ages under 6 will be in the interval [0, 5], or in the interval [0, 6), as you may wish.

Ages 65 or older will be in the interval [65, ∞).

The union of these two intervals is ...

  [0, 6) ∪ [65, ∞)

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Answer:

The height of parallelogram is 2x^2-7x+1

Step-by-step explanation:

Area of parallelogram =Base \times Height

Area of parallelogram = 2x^3 -x^2 -20x + 3

Base of parallelogram = x+3

So, 2x^3-x^2-20x + 3 = height \times (x+3)

\frac{2x^3- x^2 -20x + 3}{x+3}= height\\2x^2-7x+1=Height

Hence The height of parallelogram is 2x^2-7x+1

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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
igomit [66]

Answer:

\frac{d}{dx}[f(x)+g(x)+h(x)] = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} - 81\cdot x^{80}-2\cdot x

Step-by-step explanation:

This derivative consist in the sum of three functions: f(x) = 81\cdot \sin^{-1} x^{9}, g(x) = - x^{81} and h(x) = - x^{2}. According to differentiation rules, the derivative of a sum of functions is the same as the sum of the derivatives of each function. That is:

\frac{d}{dx} [f(x)+g(x) + h(x)] = \frac{d}{dx} [f(x)]+\frac{d}{dx} [g(x)] +\frac{d}{dx} [h(x)]

Now, each derivative is found by applying the derivative rules when appropriate:

f(x) = 81\cdot \sin^{-1} x^{9} Given

f'(x) = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} (Derivative of a arcsine function/Chain rule)

g(x) = - x^{81} Given

g'(x) = -81\cdot x^{80} (Derivative of a power function)

h(x) = - x^{2} Given

h'(x) = -2\cdot x (Derivative of a power function)

\frac{d}{dx}[f(x)+g(x)+h(x)] = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} - 81\cdot x^{80}-2\cdot x (Derivative for a sum of functions/Result)

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Answer:

7/6 * 3/1 =21/6 you just flip the fraction when doing division.

Step-by-step explanation:

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