Answer:
use the zero as an common multipal
Step-by-step explanation:
Answer:
30 gallons.
Step-by-step explanation:
If you multiply 6 x 5
(6 being the gallons)
(5 being the minutes)
I believe that the answer is 30 gallons.
Intersecting on the y axis means x=0.
Plug x=0 in the equation to find out the y value of the intercept> 0+4y-24=0, y=6
so the both line passes the point (0,6)
two perpendicular lines have slopes that are negative reciprocals of each other, that is, if one slope is a/b, the other is -b/a
In this case, the line x+4y-24=0, 4y=-x+24, y=-1/4 x + 6, the slope is -1/4, so the slope of the perpendicular line is 4/1.
the equation is y=4x+6
An exponent signifies repeated multiplication.
the factor x is repeated 3 times
Exponents can be added and subtracted to express the effects of multiplication and division.
![\dfrac{x\cdot x\cdot x\cdot x\cdot x}{x\cdot x\cdot x}=\dfrac{x^{5}}{x^{3}}\\\\=\dfrac{x\cdot x\cdot x}{x\cdot x\cdot x}\cdot x\cdot x=x\cdot x\\\\=x^{(5-3)}=x^{2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5Ccdot%20x%5Ccdot%20x%5Ccdot%20x%5Ccdot%20x%7D%7Bx%5Ccdot%20x%5Ccdot%20x%7D%3D%5Cdfrac%7Bx%5E%7B5%7D%7D%7Bx%5E%7B3%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7Bx%5Ccdot%20x%5Ccdot%20x%7D%7Bx%5Ccdot%20x%5Ccdot%20x%7D%5Ccdot%20x%5Ccdot%20x%3Dx%5Ccdot%20x%5C%5C%5C%5C%3Dx%5E%7B%285-3%29%7D%3Dx%5E%7B2%7D)
The addition and subtraction of exponents works the same even when there are more denominator factors than numerator factors.
![\dfrac{x\cdot x\cdot x}{x\cdot x\cdot x\cdot x\cdot x}=\dfrac{x^{3}}{x^{5}}=\dfrac{1}{x^{2}}\\\\=x^{(3-5)}=x^{-2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5Ccdot%20x%5Ccdot%20x%7D%7Bx%5Ccdot%20x%5Ccdot%20x%5Ccdot%20x%5Ccdot%20x%7D%3D%5Cdfrac%7Bx%5E%7B3%7D%7D%7Bx%5E%7B5%7D%7D%3D%5Cdfrac%7B1%7D%7Bx%5E%7B2%7D%7D%5C%5C%5C%5C%3Dx%5E%7B%283-5%29%7D%3Dx%5E%7B-2%7D)
That is, a negative numerator exponent is the same as a positive denominator exponent and vice versa. You can move a factor with an exponent from denominator to numerator and change the sign of the exponent, and vice versa.
Your expression has 3 in the denominator with a negative exponent. It can be moved to the numerator and the exponent changed to positive:
![\dfrac{1}{3^{-2}}=3^{2}\\\\=3\cdot 3=\bf{9}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%5E%7B-2%7D%7D%3D3%5E%7B2%7D%5C%5C%5C%5C%3D3%5Ccdot%203%3D%5Cbf%7B9%7D)