What is the slope of the equation of 3x+9y=-9

1 answer:

4 0

To solve this, you must put the equation in slope-intercept form, which is y=mx+b.
To do this, isolate y.

First, subtract 3x from both sides.
3x + 9y = -9
3x + 9y - 3x = 9y
-9 - 3x = -9 - 3x
9y = -9 - 3x

Now, divide both sides by 9.
9y = -9 - 3x
9y / 9 = y
-9 / 9 = -1
-3x / 9 = -0.33x = -1/3x
y = -1 - 1/3x

In y = mx + b form:
y = -1/3x - 1

In slope intercept form, m is the slope.
In our answer, -1/3 is m, so it is the slope.

So the final answer is that the slope is -1/3.

Hope this helps!

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Use the binomial expression (p+q)n

zvonat [6]

Answer:

{0.16807, 0.36015, 0.3087, 0.1323, 0.02835, 0.00243}

Step-by-step explanation:

The expansion of (p+q)^n for n = 5 is ...

(p+q)^5 = p^5 +5·p^4·q +10·p^3·q^2 +10·p^2·q^3 +5·p·q^4 +q^5

When the probability p=0.3 and q = 1-p = 0.7 the terms of this series correspond to the probabilities of 5, 4, 3, 2, 1, and 0 favorable outcomes out of 5 trials.

For example, p^5 = 0.3^5 = 0.00243 is the probability of 5 favorable outcomes in 5 trials where the probability of each favorable outcome is 0.3.

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The attachment shows the calculation of these numbers using a graphing calculator. It lists them in reverse order of the expansion of (p+q)^5 shown above, so that they are the probabilities of 0–5 favorable outcomes in the order 0–5.