All you have to do is plug in.
x = 1 , y= 8
3x+5=y
3(1) + 5 = 8
3+5 = 8
8=8
They are both equal, yes. The coordinates work out in the equation. Both sides are equal so the coordinates work. The answer is yes.
Given:
(4k⁷)³ = 4n(k⁷)³
Note that (aˣ)ⁿ = aˣⁿ
Expand the left and right sides.
4³k²¹ = 4nk²¹
Divide each side by k²¹.
4³ = 4n
Divide each side by 4.
4² = n
Therefore
n = 4² = 16
Answer: n = 16
The answer would be 0 solutions.
Here, we see <em>|</em><em />x+6<em>|</em><em /> = 2.
Oh wow! A foreign object!
|x+6|... two lines... what is that?
That is called absolute value. Whatever is inside the two lines, must have a positive answer!
Let's pretend we have a machine that has this absolute value function activated.
What we put in, we must get a positive answer out.
Let's put in -6.
-6 ==> BEEP BEEP ==> 6
Let's try 3.
3 ==> BEEP BEEP ==>3
Whatever we put in, if it is negative or positive, what comes out is always positive.
So, for how many values <em>x</em> is |x+6|=-2 true?
None, because the answer <em>must</em><em /> be positive!
-2 is not positive, <em>2</em><em /> is.
X = 13
( x + 4) / 51 = (2x - 7) / 57
585 = 45x
585/45 = 45x/45
x = 13
You have to take $8,550 times 0.12 (12%) to find out the number it is being decreased by.
8,550 x 0.12 = 1,026
And then, you have to subtract 1,026 from 8,550 three times for three years and your answer becomes 5,472.
$5,472
