Answer:
3ab
-------------------
(b+a)
Step-by-step explanation:
3/a - 3/b
-------------------
1/a^2 - 1/b^2
Multiply the top and bottom by a^2 b^2/ a^2/b^2 to clear the fractions
(3/a - 3/b) a^2 b^2
-------------------
(1/a^2 - 1/b^2) a^2b^2
3ab^2 - 3 a^2 b
-------------------
b^2 - a^2
Factor out 3ab on the top
3ab( b-a)
-------------------
b^2 - a^2
The bottom is the difference of squares
3ab( b-a)
-------------------
(b-a) (b+a)
Cancel like terms from the top and bottom
3ab
-------------------
(b+a)
Answer:
Both equation represent functions
Step-by-step explanation:
The function is the relation that for each input, there is only one output.
A. Consider the equation
This equation represents the function, because for each input value x, there is exactly one output value y.
To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.
When you intersect the graph of the function with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.
B. Consider the equation
This equation represents the function, because for each input value x, there is exactly one output value y.
When you intersect the graph of the function with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.
Answer: 4,188.79 u^3
Step-by-step explanation: Volume of a sphere is (4/3)pi•r^3
10^3 = 1000
(4/3) • pi • 1000 = 4,188.79 (rounded to 2 decimals)
Answer: the answer to your question is
Recall that when you multiply a decimal by a power of ten (10, 100, 1,000, etc), the placement of the decimal point in the product will move to the right according to the number of zeros in the power of ten. For instance, 4.12 · 10 = 41.2.
hope this helps for what you needed have a nice day! :)
Answer:
19.4 %
Step-by-step explanation:
The formula for<em> return on assets</em> (ROA) is
ROA = Net income /Total assets × 100 %
Since assets vary, we use the <em>average</em> of the total assets over the period.
<em>Calculate the average total assets</em>
At beginning of year, total assets = $263 000
At end of year, total assets = $313 000
Average = (313 000 + 263 000)/2
Average = 576 000/2
Average = $288 000
===============
<em>Calculate the ROA</em>
Net income = $56 000
ROA = 56 000/288 000 × 100 %
ROA = 0.194 × 100 %
ROA = 19.4 %
The company’s return on assets is 19.4 %.
