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Mila [183]
3 years ago
9

How to answer this problem solving question: Anita and Terry ride the subway on sundays to visit their grandparents. There are 2

enterances to the subway from the street, north and south. Inside each entrance is an escalator, elevator and stairway leading to the first level. On the first level there are eight gates. At each end of thr first level (north and south) there is an escalator, elavator, and a stairway. These lead directly to the trains. How many different ways can Anita and Terry go frim street level to the trains?
Mathematics
1 answer:
Dovator [93]3 years ago
4 0
We know that they have:
2 entrences
3 ways to chose (escalator,elevator and stairs)
8 gates
and again 3 ways to chose (escalator, elevator and stairway)

now you have to multiply it:
2*3*8*3=6*8*3=48*3=144

There are 144 different ways that Anita and Terry can go from street level to the trains:)
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Answer:

See the explanation.

Step-by-step explanation:

We are given the function f(x) = x² + 2x - 5

Zeros :

If f(x) = 0 i.e. x² + 2x - 5 = 0

The left hand side can not be factorized. Hence, use Sridhar Acharya formula and  

x= \frac{-2+\sqrt{2^{2}-4\times(-5)\times1 } }{2} and  

x= \frac{-2-\sqrt{2^{2}-4\times(-5)\times1 } }{2}

⇒ x = -3.45 and 1.45

Y- intercept :

Putting x = 0, we get, f(x) = - 5, Hence, y-intercept is -5.

Maximum point :

Not defined

Minimum point:  

The equation can be expressed as (x + 1)² = (y + 5)

This is an equation of parabola having the vertex at (-1,-5) and axis parallel to + y-axis

Therefore, the minimum point is (-1,-5)

Domain :  

x can be any real number

Range:  

f(x) ≥ - 6

Interval of increase:

Since this is a parabola having the vertex at (-1,-5) and axis parallel to + y-axis.

Therefore, interval of increase is +∞ > x > -1

Interval of decrease:

-∞ < x < -1

End behavior :  

f(x) = x^{2} +2x-5 =x^{2}  (1+\frac{2}{x} -\frac{5}{x^{2} } )

So, as x tends to +∞ , then f(x) tends to +∞

And as x tends to -∞, then f(x) tends to +∞. (Answer)

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3 years ago
Is the number 17 a prime or composite number?
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Answer:

It is a prime number.

Step-by-step explanation:

A prime number is a number that can only be the product of 1 and itself. 17 can only be multiplied by 1 and 17, so it is prime.

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How many ways can you flip a coin and roll a standard dice?
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What is 4/9 times what equals 12
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Step-by-step explanation:

4/9A = 12

A = 12×9/4

= 27

......

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3 years ago
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