Answer:
1/6
Step-by-step explanation:
The product will only be of the required form if the two chosen factors are of the form (x +by) and (x -by).
For the factor (x+y), there is also a factor (x-y) on the list. For the factor (x+5y), there is no factor (x-5y) available.
So, of the (4·3)/2 = 6 possible ways to choose two expressions from the four given expressions, only one pair of the 6 will have a product of the required form.
The probability is 1/6.
Answer:
a) The function is constantly increasing and is never decreasing
b) There is no local maximum or local minimum.
Step-by-step explanation:
To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.
f(x) = ln(x^4 + 27)
f'(x) = 1/(x^2 + 27)
Now we take the derivative and solve for zero to find the local max and mins.
f'(x) = 1/(x^2 + 27)
0 = 1/(x^2 + 27)
Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.
2x+38=180
2x=142 (or x+x=142 from which 2x=142)
x=71
The unknown angles are each 71
You know this answer is logical as, since two sides are 21 it hints that we are looking at an equilateral triangle, which means two of its angles will be the same
Amount needed=earned+already have
205=earned+30
earned=7 times number of hours=7h
205≤7h+30
we used the less than or equal to because he needs at least 205, means 205 or greater must be earned
205≤7h+30
minus 30 both sides
175≤7h
divide both sides by 7
25≤h
needs to work at least 25 hours
Answer:
it is 84
Step-by-step explanation:
the least common multiple of 7 and 12 is 84. i have no step by step explanation...sorry
