3 years ago

What is the hypothesis in this conditional statement?

Mathematics

1 answer:

nexus9112 [7]3 years ago

8 0

The answer is
A.
Hope This Helps

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The variable z is inversely proportional to x when x is 3 z has the value 1.6666666666667. What is the value of z when x =12 ??

Harlamova29_29 [7]

The governing equation is z = k/x.

When x=3, z = 1 2/3, or z = 5/3. Find k: 5/3 = k/3. Then k = 5, and the

governing equation becomes z = 5/x.

Now if x=12,

z = 5/12 (answer)

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NISA [10]

For this case we must find the solution of the following quadratic equation:

$x ^ 2 + 5x + 7 = 0$

Where:

$a = 1\\b = 5\\c = 7$

Then, the solution is given by:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

Substituting the values:

$x = \frac {-5 \pm \sqrt {5 ^ 2-4 (1) (7)}} {2 (1)}\\x = \frac {-5 \pm \sqrt {25-28}} {2}\\x = \frac {-5 \pm \sqrt {-3}} {2}$

By definition we have: $i ^ 2 = -1$

$x = \frac {-5 \pm \sqrt {3i ^ 2}} {2}\\x = \frac {-5 \pm i \sqrt {3}} {2}$

Thus, we have two complex roots.

Answer:

The equation has no real roots.

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3 years ago