Answer:
slope = 2
Step-by-step explanation:
Find 2 points on the line that land perfectly on the grid. I'll choose these 2 here:
(-2, -1) and (0, 3)
Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a <em>rise</em> of 4. The x went from -2 to 0, so that is a <em>run</em> of 2. "rise over run" means rise literally over run in a fraction like this:
The more proper way to calculate slope looks like this, but it's really the same thing in the end:
where (x1, y1) and (x2, y2) are your 2 points.
Finally, the slope of this line is:
That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.
Answer:
x = - 
, x = 
Step-by-step explanation:
Given
x² - x - 
= 0
Multiply through by 4 to clear the fraction
4x² - 4x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × - 3 = - 12 and sum = - 4
The factors are + 2 and - 6
Use these factors to split the x- term
4x² + 2x - 6x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(2x + 1) - 3(2x + 1) = 0 ← factor out (2x + 1) from each term
(2x + 1)(2x - 3) = 0
Equate each factor to zero and solve for x
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = -
2x - 3 = 0 ⇒ 2x = 3 ⇒ x =
Answer:
It should take 10 years
Step-by-step explanation:
In 1 year, if it triples, it should be 15 (population), and so on.
15
45
135
405
1215
3645
10935
32805
98415
295245
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