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3 years ago

(b) Find the sum of first twenty terms of the following arithmetic progressions A.P

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

5 0

Answer:

-4*20+3*190=490

2*20+190=230

-2*20-3*190=-610

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maksim [4K]

Part A

$4x^2 -7x-15=0\\\\(4x+5)(x-3)=0\\\\x=-\frac{5}{4}, 3$

So, the x-intercepts are $\boxed{\left(-\frac{5}{4}, 0 \right), (3,0)}$

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The vertex will be a minimum because the coefficient of $x^2$ is positive.

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Substituting this back into the function, we get $f\left(\frac{7}{8} \right)=4\left(\frac{7}{8} \right)^2 -7\left(\frac{7}{8} \right)^2 -15=-\frac{289}{16}$

So, the coordinates of the vertex are $\boxed{\left(\frac{7}{8}, -\frac{289}{16} \right)}$

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The graph is shown in the attached image.

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2 years ago

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3 years ago