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Marysya12 [62]
3 years ago
13

What are the values of a, b, and c in the quadratic equation 0 = = x2 – 3x – 2? a=1 h=30-2

Mathematics
1 answer:
jek_recluse [69]3 years ago
7 0

Answer:

  • a = 1
  • b = -3
  • c = -2

Step-by-step explanation:

The general form of a quadratic equation is often written as ...

  ax² +bx +c = 0

The references to "a", "b", and "c" are to the coefficients in this form. Comparing this to your equation ...

  x²-3x -2 = 0

we see that the coefficient of x², is 1, so a=1; the coefficient of x is -3, so b=-3, and the constant is -2, so c=-2.

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3 years ago
The function f(x) is an increasing function about which little else is known about other than f(2)=7 and f'(2)=5. Find (f^-1)'(7
andreyandreev [35.5K]

Since f(x) is (strictly) increasing, we know that it is one-to-one and has an inverse f^(-1)(x). Then we can apply the inverse function theorem. Suppose f(a) = b and a = f^(-1)(b). By definition of inverse function, we have

f^(-1)(f(x)) = x

Differentiating with the chain rule gives

(f^(-1))'(f(x)) f'(x) = 1

so that

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Let x = a; then

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In particular, we take a = 2 and b = 7; then

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3 0
2 years ago
A triangle has vertices at B(-3,0), C(2, -1), D(-1,2). Which series of transformations would produce an image with vertices B"(4
Alik [6]

Answer:

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Step-by-step explanation:

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  (x, y) ⇒ (-x, y)

and translation right 1, up 1

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These transformations are listed in the second choice.

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In the attachment, the original image is blue, the reflected image is purple, and the final translated image is red.

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3 0
3 years ago
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dybincka [34]

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