When we have negative exponents, we can move the term with the exponent to the bottom of the fraction. This is also known as multiplying by the reciprocal (and changing the negative exponent to be positive!).
The reciprocal of z^-3 would be 1 / z^3.
Hope this helps!! :)
9514 1404 393
Answer:
see below
Step-by-step explanation:
It is easiest to compare the equations when they are written in the same form.
The first set can be written in slope-intercept form.
y = 2x +7
y = 2x +7 . . . . add 2x
These equations are <em>identical</em>, so have infinitely many solutions.
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The second set can be written in standard form.
y +4x = -5
y +4x = -10
These equations <em>differ only in their constant</em>, so have no solutions.
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The third set is already written in slope-intercept form. The equations have <em>different slopes</em>, so have exactly one solution.
Jackson used 8/9 of a case of soda to fill 1/3 of the soda machine.
how many cases does it take to fill the soda machine = ?
1/3 means three parts of the soda machine, it means if we fill with 8/9 of a case three times soda machine will be full so,
8/9 + 8/9 + 8/9 = 24/9
it means it takes the case of soda between 2 and 3.
2.667 approx. cases of soda it take to fill the soda machine.
Answer:
C) 6 feet
Step-by-step explanation:
The diagram is shown in the attachment.
Using the Pythagoras Theorem,



We take positive square root to obtain


x=5.66ft
Rounding to the nearest feet we have x=6ft
The weight of each cabbage is not given.
I'll assume that each cabbage weighs p pounds.
Now, we know that Yasmin bought 6 cabbage each weighing p pounds. To know the total weight, we will simply multiply the number of cabbages by the weight of each as follows:
Total weight = 6 * p = 6p pounds
Hope this helps :)