Answer:
7x -2y
Step-by-step explanation:
5x−4y+2(y+x)
Distribute
5x -4y +2y +2x
Combine like terms
5x +2x -4y +2y
7x -2y
Answer:
-1
Step-by-step explanation:
The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.
d(log(x))/dx = 1/(x·ln(10))
d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))
Then the ratio of these derivatives is ...
lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x
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At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.
d(-sin(x)cos(x))/dx = -cos(2x)
dx/dx = 1
so the limit is ...
lim = -cos(2x)/1
lim = -1 when evaluated at x=0.
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I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.
Answer:
fifty five hundredths = 0.55
Step-by-step explanation:
Let's use 0.45 as an example. You read this decimal by using the place value of the last digit to the right of the decimal point.
This number is read as forty-five hundredths because the last digit is in the hundredths place.
Answer: Three Dollars
Step-by-step explanation: The factors and prime factorization of 12 and 15. The biggest common factor number is the Greatest Common Factor number. So the greatest common factor 12 and 15 is 3.
If you think about it it is just greatest common factor.
the factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 15 are 1, 3, 5, 15
the highest number they have in common is 3
so the answer to your question is three.
Answer:
No solution
Step-by-step explanation:
4x + 2(2x - 3) = 8(x - 1)
4x + 4x - 6 = 8x - 8
8x - 6 = 8x - 8
0 = -2
There is no value of x makes the equation true.
