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REY [17]
3 years ago
13

To counteract the frog population spike, the parks department has decided to introduce a large number of predator fish into thei

r habitat. They have purchased 12,000 fish to stock the bodies of water.
What is this number in scientific notation?
Mathematics
1 answer:
tekilochka [14]3 years ago
6 0

Answer:

1.2 x 10⁴

Step-by-step explanation:

12,000 has 2 places of other numbers before a spam of zeroes.

Take the numbers before zeroes and put a decimal to the left of the last digit.

Last digit is 2 so a decimal goes before 2

1.2

Count how many places the decimal moved: this number is your power of 10.

12000.  --> 1.2000

It moved 4 places.

12,000 = 1.2 x 10⁴

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Which equation represents a line that passes through (–9, –3) and has a slope of –6?
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Using slope-intercept form, y = mx + b where m = slope and b = y-intercept:

We know our slope is -6. This can be interpreted as -6/1, which rise-over-run-wise, means that when y changes by 6, x changes inversely by 1.
To find that y-intercept, though, we need to find the value of y when x = 0.
Use our point (-9, -3) to find this...
We want to add 9 to x so that it becomes 0.
According to our slope, this means subtracting 54 from y.
Our y-intercept is at (0, -57), with -57 being the value of b we put in our equation.

\boxed{y=-6x-57}

You could also just use point-slope form:
y - y¹ = m(x - x¹)
y - (-3) = -6(x - (-9))
y + 3 = -6(x + 9)
And convert to slope-intercept if you want:
y + 3 = -6x - 54
y = -6x - 57
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<em>I would say that your answer is </em><em>44</em>

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