(5, 3)
x y
Plug in:
x + y = 8
5 + 3 = 8
8 = 8
Plug in:
17(5) + 17(3) = 8
85 + 51 = 8
136 = 8
Answer - No, (5, 3) is not a solution to this system of equations.
Answer:
from the left the right it should look like this;
4, 1, 2800, 7, 400
I am not completely positive but,
1/6 tons because 2/3 divided by 4 is 1/6 <span />
Answer:
independent system
Step-by-step explanation:
The first linear equation (
) can be written in slope y-intercept form by solving for the y variable. When it is in that form, one can easily understand its geometrical shape and distinguish if it the same, if it crosses or if it is parallel, to the second line (
)
We proceed to re-write it in slope y-intercept form:
![-2x-2y=10\\-2x=10+2y\\-2x-10=2y\\y=\frac{-2x-10}{2} \\y=\frac{-2}{2} x-\frac{10}{2} \\y=-x-5](https://tex.z-dn.net/?f=-2x-2y%3D10%5C%5C-2x%3D10%2B2y%5C%5C-2x-10%3D2y%5C%5Cy%3D%5Cfrac%7B-2x-10%7D%7B2%7D%20%5C%5Cy%3D%5Cfrac%7B-2%7D%7B2%7D%20x-%5Cfrac%7B10%7D%7B2%7D%20%5C%5Cy%3D-x-5)
Therefore it has a slope of "-1" and a y-intercept of "-5", while the second line has slope "1" and y-intercept "-7".
Therfore, they are lines that intercept at a unique point, and therefore represent an independent system.
Answer:
The vertex of the function f(x) is at (2,-7)
Step-by-step explanation:
The function is given to be f(x) = |x-2| -7
Now, f(x) = x - 2 - 7 = x - 9 for, (x - 2) ≥ 0, ⇒ x ≥ 2 ............ (1)
and f(x) = 2 - x - 7 = - x - 5 for, (x - 2) < 0, ⇒ x < 2 .............. (2)
Now, solving equation (1) and (2), we get, x - 9 = - x - 5
⇒ 2x = 4
⇒ x = 2
And hence, from equation (1) we get, y = x - 9 = 2 - 9 = - 7
Therefore, the vertex of the function f(x) is at (2,-7) (Answer)