Find the following when a = -1, b = 2, c = -1/4 (4b - 3)/(2a) -1

1 answer:

3 0

We substitute the given into the equation
given: a=-1, b=2, c= $\frac{-1}{4}$
=( $\frac{4b-3}{2a}$ -1
= $\frac{4(2)-3}{2(-1)}$ -1
= $\frac{8-3}{-2}$ -1
= $\frac{5}{-2}$ -1
to continue, we can either find a common denominator or change the fraction to decimal.
Fraction to Decimal:
$\frac{5}{-2}$ =-2.5
Equation=-2.5-1=-3.5
OR Common Denominator:
= $\frac{5}{-2}$ $\frac{-1}{1}$ × $\frac{-2}{-2}$ (denominator should be -2=common)
= $\frac{5}{-2}$ + $\frac{2}{-2}$
= $\frac{7}{-2}$
which also = to -3.5

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<h3>What are complementary events?</h3>

They are mutually exclusive events which have the sum of their probabilities as 1.

In this problem, we consider that there is a $\frac{1}{4}$ probability of drawing a red marble, and since drawing a red marble and drawing a non-red marble are complementary events, we have that:

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Answer:

Her usual driving speed is 38 miles per hour.

Step-by-step explanation:

We know that:

$s = \frac{d}{t}$

In which s is the speed, in miles per hour, d is the distance, in miles, and t is the time, in hours.

We have that:

At speed s, she takes two hours to drive. So

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$d = 2s$

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228 minutes is 3.8 hours. So

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