First write the equation in slope-intercept form which is more commonly known as <em>y = mx + b</em> form where the <em>m </em>or the coefficient of the x term represents the slope of the <em>b</em> or the constant term represents the y-intercept.
Subtract 2x from both sides to get <em>y = -2x - 4</em>.
I put the x term first because that's how it is in y = mx + b form.
Now we can see that the <em>b</em> or the constant term is -4.
We can write this as the ordered pair (0, -4).
Keep in mind when writing a y-intercept as an ordered pair, your x-coordinate will always be 0 in the ordered pair.
She can buy 16 cabbages .
42,600 - 25,800 = 16800. That is the increase in 15 years.
You then calculate the increase as a percentage of the original population; 25,800.
16,800 / 25,800 * 100 = 65.11%
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
<h3>How to determine the characteristics of the roots of a quadratic equation by discriminant</h3>
Herein we have a <em>quadratic</em> equation of the form a · x² + b · x + c = 0, whose discriminant is:
d = b² - 4 · a · c (1)
There are three possibilities:
- d < 0 - <em>conjugated complex</em> roots.
- d = 0 - <em>equal real</em> roots (real and rational root).
- d > 0 - <em>different real</em> roots (real and irrational root).
If we know that a = 3, b = 7 and c = - 2, then the discriminant is:
d = 7² - 4 · (3) · (- 2)
d = 49 + 24
d = 73
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
To learn more on quadratic equations: brainly.com/question/2263981
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Sorry but you didn’t provide a question, this is a statement.
