Answer:
x = -1 and x = 4
Step-by-step explanation:
Step 1: Get everything to one side of the equation so it's set equal to zero..
-x² + 4x = x - 4 becomes...
-x² + 3x + 4 = 0 (subtract x and add 4 to both sides)
x² - 3x - 4 = 0 (divide both sides by -1, we want the x² term to be positive)
(x - 4)(x + 1) = 0 (factor)
so
x - 4 = 0, then x = 4
and
x + 1 = 0, then x = -1
Answer:
x = 16
Step-by-step explanation:
2(x - 1) - 6 = 24 ( add 6 to both sides )
2(x - 1) = 30 ( divide both sides by 2 )
x - 1 = 15 ( add 1 to both sides )
x = 16
Ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
Answer:
it is a function because it doesn't have two x coordinates at the same y coordinate.
Answer:
In 14 weeks will they have the same number of good behavior stars
Step-by-step explanation:
Let
x ----> the number of weeks
y ----> the number of good behavior stars
we know that
<em>Alice</em>
----> equation A
<em>Mack</em>
----> equation B
To find out in how many weeks will they have the same number of good behavior stars, equate equation A and equation B
Solve for x
<u><em>Verify</em></u>
For x=6 weeks
<em>Alice</em>
<em>Mack</em>
therefore
In 14 weeks will they have the same number of good behavior stars
