Answer:
Step-by-step explanation:
The solution of a system of linear equations is the point of intersection of their graphs because the intersection represents the only x or y values that will satisfy both/all equations. The graph visually shows that the intersection of these equations is the only spot on the graph that all of the equations have in common. This means that only this spot will satisfy all equations. For example, the intersection may be (0,1); this means that for all equations an x value of 0 will always result in the y value of 1. However, an x or y value that satisfies one equation may not satisfy the others if they do not lead to the desired outcome.
Answer:
5x² - 10x - 15 = 0
Step-by-step explanation:
Given that the roots are x = 3 and x = - 1, then the factors are
(x - 3) and (x + 1) and the quadratic is the product of the factors, that is
f(x) = a(x - 3)(x + 1) ← a is a multiplier
Here a = 5, thus
f(x) = 5(x - 3)(x + 1) ← expand factors using FOIL
= 5(x² - 2x - 3) ← distribute parenthesis by 5
= 5x² - 10x - 15
Thus equation is
5x² - 10x - 15 = 0
1/6 of the people are not elderly or men
<h3>How to determine the proportion?</h3>
The given parameters are:
Men = 1/2
Elderly = 1/3
The number of people that are not elderly or men are:
People = 1 - Men - Elderly
So, we have:
People = 1 - 1/2 - 1/3
Evaluate
People = 1/6
Hence, 1/6 of the people are not elderly or men
Read more about proportion at:
brainly.com/question/1781657
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Given the points:
(x, y) ==> (-2, 4)
slope, m = 3
To write the slope intercept form, use the form below:
y = mx + b
Where m = slope and b = y-intercept.
Now, substitute -2 for x, 4 for y, and m for 3 in the equation above to solve for b.
We have:
y = mx + b
4 = 3(-2) + b
4 = -6 + b
Add 6 to both sides:
4 + 6 = -6 + 6 + b
10 = b
b = 10
Therefore, the slope intercept form of the equation is:
y = 3x + 10
ANSWER:
y = 3x + 10
