Answer:
y=6
Step-by-step explanation:
use elimination by making the ys opposite in value and eliminating them from the equation so there is only variable:
-3x+2y=6
2(4x-y=2)
-3x+2y=6
8x-2y=4
Combine like terms and divide by 5 on both sides.
5x=10
x=2
Plug x in to find y:
4(2)-y=2
8-y=2
y=6
Answer:
1/6
Step-by-step explanation:
Let x represent the proportion of time the third person spends on the project. You want ...
1/2 + 1/3 + x = 1 . . . . full-time equivalents
5/6 + x = 1 . . . . simplify
x = 1/6 . . . . . . . subtract 5/6
The third person should budget 1/6 of their time to the project.
Keep your mom, you only have one. But anyway;
Use the Pythagorean Theorem: A^2 + B^2 = C^2
12^2 + 21^2 = C^2
144 + 441 = C^2
585 = C^2
square root of 585 = approximately 24.2
2 oranges cost $2 . $9 - $2 = $7
then 12 apply of Lisa and 6 apples of Jeremy
= 18 ÷ 7 = 2.57. $2.57 for 6 apples
2.57 ÷ 6 = 0.43 each apple
We are given the following function:

This function is equivalent to the function:

Together with a translation 5 units in the negative direction of the "x" axis. Since the range of g(x) is all the values of "y" that are smaller or equal to zero, if we translate 5 units in the negative direction of the y-axis the range is:

or in interval notation: