It means that the two vectors are perpendicular or orthogonal
The slope of f(x) is 10 and the slope of g(x) is 5; g(x) has the greater y-intercept.
To find the slope of f(x), we use the slope formula: m=(y₂-y₁)/(x₂-x₁) = (-1--11)/(0--1) = (-1+11)/(0+1) = 10/1 = 10.
To find the slope of g(x), we just look at the form it is in. It is written in slope-intercept form, y=mx+b, where m is the slope. The number in g(x) that would correspond to m is 5.
The y-intercept of f(x) is found by looking at the points. Any y-intercept will have an x-coordinate of 0; the only point like this in the table is (0, -1) so the y-intercept is -1.
For g(x), we again look at the form y=mx+b. The number that corresponds with b is the y-intercept; in this case, it is 1. 1>-1, so g(x) has the larger y-intercept.
Answer:
I would say A. it makes the most sense.
Answer:
x=-1/2
Step-by-step explanation:
and now we check
so the answer is -1/2
Answer:
<u>x = 8 and y = 5</u>
Step-by-step explanation:
The question is as following:
what is x and y for the following system of equations:
50x + 30 y = 550 ⇒ (1)
44x + 36 y = 532 ⇒ (2)
Subtract (1) - (2)
∴ 6x - 6y = 18
Divide both sides by 6
∴ x - y = 3
∴ x = 3 + y ⇒ (3)
Substitute with the value of x at (1)
50(3+y) + 30y = 550
Solve for y
150 + 50y + 30y = 550
80y = 550 - 150 = 400
∴ y = 400/80 = 5
Substitute with the value of y at (3)
∴ x = 3 + y = 3 + 5 = 8
<u>So, x = 8 and y = 5</u>
