When you say 1 over 3, you are basically saying 1 divided by 3, or expressed as a rational number:
. in our rational number the denominator is 1, and the numerator is 3
Now, a rational expression is an algebraic expression in a rational for. If we apply the same to your problem. 4 over x-3 means 4 divided by x-3, or in mathematical notation:
. In this case, the numerator is 4, and the denominator is
.
We can conclude that the equivalent rational expression of <span>4 over x - 3 is </span>
.
Answer:
infinitely many
Step-by-step explanation:
Add 12-y to both sides of the second equation to put it into standard form like the first equation:
y +(12 -y) = (x -12) +(12 -y)
12 = x - y . . . simplify
x - y = 12 . . . . second equation in standard form
We see this is identical to the first equation. That means every solution of the first equation is also a solution of the second equation. There are infinitely many solutions.
Answer:answer is a (x+8)^2=86
Step-by-step explanation:
x+8=±√
86
2 Break down the problem into these 2 equations.
x+8=\sqrt{86}x+8=√
86
x+8=-\sqrt{86}x+8=−√
86
3 Solve the 1st equation: x+8=\sqrt{86}x+8=√
86
.
x=\sqrt{86}-8x=√
86
−8
4 Solve the 2nd equation: x+8=-\sqrt{86}x+8=−√
86
.
x=-\sqrt{86}-8x=−√
86
−8
5 Collect all solutions.
x=\sqrt{86}-8,-\sqrt{86}-8x=√
86
−8,−√
86
−8
x
2
+16x−22=0
2 Use the Quadratic Formula.
x=\frac{-16+2\sqrt{86}}{2},\frac{-16-2\sqrt{86}}{2}x=
2
−16+2√
86
,
2
−16−2√
86
3 Simplify solutions.
x=-8+\sqrt{86},-8-\sqrt{86}x=−8+√
86
,−8−√
86
Answer:
29
Step-by-step explanation:
Use PEMDAS
5^2 + 8 ÷ 2
25 + 8 ÷ 2
25 + 4
29
The answer is e because all of the other answers are less than or equal to 2. Hope this helps.
