What is the value of -2/5 divided by 3/4

Mathematics

1 answer:

wlad13 [49]3 years ago

8 0

Answer:

$-\frac{8}{15}$

Step-by-step explanation:

To divide a fraction by another fraction, you flip the second fraction and also change the divide sign to a multiply sign.

$-\frac{2}{5}\div \frac{3}{4}=-\frac{2}{5}\times \frac{4}{3}$

Multiply:

$-\frac{2\times \:4}{5\times \:3}$

$-\frac{8}{15}$

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Determine whetherf(x) = 6x2+ 12x + 8 has a minimum or maximum value and find thevalue of the minimum or maximum. Also, find the

Svetllana [295]

Answer:

minimum value: 2
axis of symmetry: x = -1

Step-by-step explanation:

A graphing calculator can answer this very quickly. The graph shows the minimum is 2, at x=-1. The axis of symmetry is the vertical line through that point so is x = -1.

The extreme value of the quadratic ax^2 +bx +c is found at x = -b/(2a). Your quadratic has a=6 and b=12, so the extreme value is located on the line of symmetry at ...

x = -12/(2·6)

x = -1 . . . . . . . . . . line of symmetry; x-coordinate of vertex

The leading coefficient of this even-degree polynomial is <em>positive</em>, so we know it opens <em>upward</em>. That means the vertex is a minimum.

The value of the function at the vertex is ...

f(-1) = 6(-1)^2 +12(-1) +8 = 6 -12 +8 = 2

The minimum value is 2.