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olga_2 [115]
3 years ago
8

Which of the following rational numbers is greater than 5/17 but less than 6/17.

Mathematics
1 answer:
marin [14]3 years ago
8 0

Answer:

\frac{51}{170},\ \frac{52}{170},\frac{53}{170},...................\ \frac{59}{170}

Step-by-step explanation:

As mention in the question number is

\frac{5}{17}\ < \frac{6}{17}  \\multiply\ both\  side\  by\  10\  in\  numerator\  and\  denominator\  we\  get \\\frac{50}{170}

Therefore the number is :

\frac{51}{170},\ \frac{52}{170},\frac{53}{170},...................\ \frac{59}{170}

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find the x-intercepts and the coordinates of the vertex for the parabola Y equals negative X squared plus 8X -12. If there’s mor
Oksanka [162]

Answer:

x = 2, and 6

x = 2 , 6

Step-by-step explanation:

The quadratic function to analyze is: y = -x^2+8x-12

In order to find where the corresponding parabola intercepts the x axis, we set it equal to zero (y = 0):

y = -x^2+8x-12\\0 = -x^2+8x-12\\x^2-8x+12=0

This equation is easy to solve by factoring. We look for a air of integer numbers whose product equals the constant term "12", and whose combinig renders the coefficient of the middle term of the trinomial "-8".

The two such numbers are "-2" and "-6". We use them to split the middle term, and then solve by factoring by grouping:

x^2-8x+12=0\\x^2-2x-6x+12=0\\(x^2-2x)+(-6x+12)=0\\x(x-2)-6(x-2)=0\\(x-2)(x-6)=0

For the product of two factors to render zero, we need either one to be a zero.This means that (x-2)=0 (that is x = 2), or (x-6)=0 (that is x = 6).

So, there are two x-intercepts: x= 2, and 6

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Step-by-step explanation:

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Step-by-step explanation:

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