Answer:
there will be 20 dollars
Step-by-step explanation:
500 multiplied by .12 and then timesed by 8 then subtracted by 500
If we have a less than (or less than or equal to) sign with an absolute value, that indicates a conjunction where values can be expressed as an interval. The absolute value will be less than the number to the right, but it will also at the same time be greater than the negative of the number to the right. Don't forget that absolute value is a distance measurement, and the distance from the origin to -4 is 4 units, just like the distance from the origin to +4 is 4 units. Our particular absolute value will look like this:
![\left[\begin{array}{ccc}x-6\end{array}\right] \leq 4](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx-6%5Cend%7Barray%7D%5Cright%5D%20%20%5Cleq%204)
and
![\left[\begin{array}{ccc}x-6\end{array}\right] \geq -4](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx-6%5Cend%7Barray%7D%5Cright%5D%20%20%5Cgeq%20-4)
. Solving the first absolute value we have that
and the second one is
. In interval notation we need to put x between the 2 inequality signs, which will look like this:
. And there you go!
Answer: 96°
Step-by-step explanation:
If a triangle is being drawn, Angle A and C will be the two remote interior angles in the triangle. The sum of the two interior angles has to equal to the exterior angle.
Set them equal each other and solve for x.
(3x-6) + (6x +12) = 12x - 24 Combine like terms
9x + 6 = 12x - 24 Subtract 6 from both sides
- 6 -6
9x = 12x - 30 Subtract 12x from both sides
-12x -12x
-3x = -30 Divide both sides by -3
x = 10
Now since x is 10 degrees we will need to input the value into in for x in the exterior angle expression and break it down.
Exterior : 12(10) - 24
120 - 24 = 96
This means the measure of the exterior angle at vertex B is 96 degrees.
Answer:
24 days (or more)
Step-by-step explanation:
I assume you want to figure out how long it will take Tom to write the minimum amount of pages for his school report at that rate?
Since Tom writes 1/2 a page a day and he must write 12 or more pages, then it will take him 2 days to write one page, thus, 24 days to write 12 pages.
Therefore, Tom needs at least 24 days to write his school report.
Answer:
-x^3+2x^2+4x-8
Step-by-step explanation:
(2-x)(x^2-4)
2x^2-8-x^3+4x
-x^3+2x^2+4x-8
