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2 years ago

Please help!!

Mathematics

1 answer:

weqwewe [10]2 years ago

8 0

Answer:

The vertex of the parabola = (-7 , -4)

Step-by-step explanation:

Step(i):-

Given that the parabola y = 4 x² + 56 x +192

y = 4 (x² + 14 x + 48 )

y = 4 ( x² + 2 × 7 (x) + 49-1)

y = 4 ( x² + 2 × 7 (x) + 49)- 4

we apply the formula

(a +b)² = a² + 2ab + b²

y = 4 ( x + 7 )² - 4

Step(ii):-

The general form of the parabola in algebraically

y = a ( x-h)² +k

The equation

y = 4 ( x + 7 )² - 4

y = 4 ( x-(-7))² - 4

The vertex of the parabola (h,k) = (-7 , -4)

Final answer:-

The vertex of the parabola = (-7 , -4)

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If b=-3 then the first expression is equal to 24 and the second expression is equal to -14.

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Yes, it is true.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Question:

There exist infinitely many common fractions a/b , where a > 0 and b > 0 and for which 3/5 < a/b< 2/3. Of these common fractions, which has the smallest denominator? Express your answer as a common fraction.

Solution

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