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Sergio [31]
3 years ago
7

Ashton designs movie sets. For one scene, he has to hang a banner across an archway that takes the shape of a parabola modeled b

y the quadratic equation y = −x2 + 6x. The banner is to be hung at an angle defined by the linear equation y − x = 4, as shown in the figure.
Mathematics
2 answers:
Crazy boy [7]3 years ago
5 0
No question is asked so I'm not sure what you are looking for but below I calculated the point where the two equations intersect:
y - x = 4 → y = x + 4
y = - x² + 6x
x + 4 = - x² + 6x
x² - 5x + 4 = 0
(x - 4)(x - 1) = 0
 x = 4, x = 1

when x = 4, then y = x + 4 = 4 + 4 = 8 → (4,8)
when x = 1, then y = x + 4 = 1 + 4 = 5 → (1,5)

The line and parabola intersect at two points: (4,8) and (1,5)



FromTheMoon [43]3 years ago
4 0

Answer:

The two equations intersect at (1, 5) and (4, 8), so the banner should be hung at these two points.

Step-by-step explanation:

Plato Answer

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Tina must select and answer in any order three of seven
Leno4ka [110]

Answer:

Tina can select and answer the essay questions on her test in 35 ways.

Step-by-step explanation:

The order in which she chooses the questions is not important. For example, choosing questions 1, 3 and 7 is the same as choosing 7, 3 and 1. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Three questions from a set of 7. So

C_{7,3} = \frac{7!}{3!(7-4)!} = 35

Tina can select and answer the essay questions on her test in 35 ways.

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2 years ago
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Dmitriy789 [7]

Answer:

a_{n} = - 2(-4)^{n-1}

Step-by-step explanation:

The n th term ( explicit formula ) for a geometric sequence is

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where a is the first term and r the common ratio

Here a = - 2 and r = 8 ÷ - 2 = - 4, thus

a_{n} = - 2(-4)^{n-1}

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Answer:

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Step-by-step explanation:

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Answer:

A relation has an input value which corresponds to an output value. When each input value has one and only one output value, that relation is a function. Functions can be written as ordered pairs, tables, or graphs. The set of input values is called the domain, and the set of output values is called the range.

Step-by-step explanation:

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