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lidiya [134]
3 years ago
5

What is the equation given the zeros x = 2 and x = 7?

Mathematics
1 answer:
Elza [17]3 years ago
3 0

Answer:

x²-9x+14=0

Step-by-step explanation:

We can use Vieta's formula:

x²-(sum of roots)x+(product of roots)=0

x²-(2+7)x+(2×7)=0

x²-9x+14=0

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You are playing a new video game. The table shows the proportional relationship between the number of levels completed and the t
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The time to complete 2 levels is (c) 60 minutes

<h3>How to determine the time to complete 2 levels?</h3>

The table of values is given as

Number of Levels     Time (hours)

2                                         ?

3                                         1.5

Express the blank (?) with y

Number of Levels     Time (hours)

2                                          y

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The table shows the proportional relationship

This means that the equation can be represented as

y = Y/X * x

Where

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(X, Y) = (3, 1.5)

So, we have

y = 1.5/3 * 2

Evaluate the quotient

y = 0.5 * 2

This gives

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Convert to minutes

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Hence, the time is 60 minutes

Read more about linear equation at

brainly.com/question/13738662

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7 0
1 year ago
A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes four re
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Answer:

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Step-by-step explanation:

Let the diagram of this situation is shown below,

In which \theta is the angle made by light to the straight line joining the lighthouse and P,

∵ Light makes 4 revolutions per minute.

Also, 1 revolution = 2\pi radians

So, the change in angle with respect to t ( time ),

\frac{d\theta}{dt}=8\pi\text{ radians per min}

Let x be the distance of beam from P,

\implies \tan \theta = \frac{x}{2}

Differentiating with respect to x,

\sec^2 \theta \frac{d\theta}{dt}=\frac{1}{2}\frac{dx}{dt}

(1+\tan^2 \theta) (8\pi) = \frac{1}{2}\frac{dx}{dt}

(1+\frac{x^2}{2^2})(8\pi) = \frac{1}{2}\frac{dx}{dt}

If x = 1 km,

(1+\frac{1}{4})8\pi =\frac{1}{2}\frac{dx}{dt}

\frac{5}{4}8\pi = \frac{1}{2}\frac{dx}{dt}

\implies \frac{dx}{dt}=\frac{80\pi}{4}= 20\pi\approx 62.8\text{ km per min}

Hence, the beam of light moving along the shoreline with the speed of 62.8 km per min

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4 years ago
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