There are two of them.
I don't know a mechanical way to 'solve' for them.
One can be found by trial and error:
x=0 . . . . . 2^0 = 1 . . . . . 4(0) = 0 . . . . . no, that doesn't work
x=1 . . . . . 2^1 = 2 . . . . . 4(1) = 4 . . . . . no, that doesn't work
x=2 . . . . . 2^2 = 4 . . . . . 4(2) = 8 . . . . . no, that doesn't work
x=3 . . . . . 2^3 = 8 . . . . . 4(3) = 12 . . . . no, that doesn't work
<em>x=4</em> . . . . . 2^4 = <em><u>16</u></em> . . . . 4(4) = <em><u>16</u></em> . . . . Yes ! That works ! yay !
For the other one, I constructed tables of values for 2^x and (4x)
in a spread sheet, then graphed them, and looked for the point
where the graphs of the two expressions cross.
The point is near, but not exactly, <em>x = 0.30990693...
</em>If there's a way to find an analytical expression for the value, it must involve
some esoteric kind of math operations that I didn't learn in high school or
engineering school, and which has thus far eluded me during my lengthy
residency in the college of hard knocks.<em> </em> If anybody out there has it, I'm
waiting with all ears.<em>
</em>
For x > 2, you would circle the 2, but you would not shade it in because it is greater than/ less than, not greater than or equal to/less than or equal to. From there on, you would move it to the right, because here x is greater than 2, and the numbers to the right of 2 are greater than two.
For x < 2, you would again circle the 2, but don't shade it in. And then you would make a line heading towards the left, because the numbers to the left of 2 are smaller than 2, and here, x is smaller than 2, since 2 is greater.
A value that is not the solution to either inequality is 2. 2 is not greater than 2, and 2 is not less than 2.
Angles 8 and 15 are supplementary.
Anwser: The hotels charge for a call is the same for a 20 minute call.
Step-by-step explanation:
Alrighty, same deal as the last problem, set up a equality, it should look like this:
$1+.80x=$2+.75x
Move the variable to the left of the equation:
.80x-.75x=2-1
Simplify
.05x=1
x=20
Answer:
And we got finally:
And the amount for Zaid would be 1.2*360 ft= 432ft
So then Zaid construc 432 ft and Matias 360 ft
Step-by-step explanation:
For this case we know that Zaid and Matias, two farmers, constructed a 792 foot fence around their very large garden so then the total is represented by 792 ft
We also know that Zaid agreed to construct 20% more of the fence than Matias did. Let's assume that the amount that construct by Matias was x then the amount constructed by Zaid would be 1.2 x representing 20% more than Matias and we can set up the following equation:
And we got finally:
And the amount for Zaid would be 1.2*360 ft= 432ft
So then Zaid construc 432 ft and Matias 360 ft
