Answer:
3
Step-by-step explanation:
A difference of squares factors in general as
a² - b² = (a - b)(a + b)
Given the factor (- 5x + 3) of a difference of squares product.
Then the other factor is (- 5x + 3)
Answer:
i cant really see the picture but the answer is 6 1/2 divided by 1/4
Step-by-step explanation:
Answer:
And replacing the data into the average rate formula we got:
And then the best answer for this case would be:
C. 27.5
Step-by-step explanation:
For this cae we know that the average rate of change of a function is given by this general expresion:
For this special case from the info of the table we have:
And replacing the data into the average rate formula we got:
And then the best answer for this case would be:
C. 27.5
3 ways to express 3 to the 5th power as the product of powers
First expression
=> 3 x 3 x 3 x 3 x 3 - In this expression, we multiplied 3 5 times and the product is 243
Second expression
=> 3 ^ 5, in where ^ read as raised to the power, the product is also 243
Third expression
=> 3^2 x 3^3
=> (3 x 3) x (3 x 3 x 3)
=> 9 x 27, the product also equals to 243.
Answer: the rate uphill is 6 mph.
The rate downhill is 10 mph
Step-by-step explanation:
Let x represent the rate at which the jogger ran uphill.
The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph
Time = distance/speed
if the jogger can runs 5 miles downhill, then the time taken to run downhill is
5/(x + 4)
At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is
3/x
Since the time is the same, it means that
5/(x + 4) = 3/x
Cross multiplying, it becomes
5 × x = 3(x + 4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
The rate downhill is 6 + 4 = 10 mph
