The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except -3. Which of thefollowing describes the domain of (gof)(x)?
all real values except X -3 and the x for which fex) 7
all real values except X -3 and the x for which f(x) -3
all real values except x 7 and the x for which f(x) 7
all real values except x * 7 and the x for which f(x) -3
Answers
Answer:
Third choice
Step-by-step explanation:
The domain of f(x) is the set of all real values except 7, i.e
and the domain of g(x) is the set of all real values except -3, i.e
The domain of is the set of all real numbers x in the domain of
such that
is in the domain of
.
However any numbers that are excluded from the domain of f must also be excluded from the domain of .
Therefore the correct choice is all real values except x=7 and the x for which f(x) =7
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So in this problem we can see that there will be 60 people at the party. Following the conditions for this event that state the following: $750 for up to 30 people and every extra person pays $20. To show that the cost will be $1350 in total we simply do this:
For 30 people we have $750 dollars. Now every other person after pays only $20. That means that another the other 30 people will pay in total only $600.
If we add them we get: $750 + $600 = 1350. This shows that the cost will be $1350.
I hope it helps, Regards.
Answers
combine like terms in the parentheses
18 - 2x(7) =
Multiply
18 - 14x (This is the value of the expression)
We can solve for x by setting it equal to zero
18 - 14x = 0
-14x = -18
x = -18/-14
x = 1 2/7
Answers
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Remember that 45%=45/100=0.45
So if the tennis player serves the ball 300 times, and 45% cannot be returned, then we can use the following expression to solve for the answer:
300*0.45=135serves
Answer: 135 serves will not be returned
Answer:135 serves
Step-by-step explanation:
Remember that 45%=45/100=0.45
So if the tennis player serves the ball 300 times, and 45% cannot be returned, then we can use the following expression to solve for the answer:
300*0.45=135serves
Answer: 135 serves will not be returned
Answers
Answer: Answer is 3/4
Step-by-step explanation: The sum of the interior angles of a regular polygon is calculated as follows;
(n-2) × 180° {where n represents the number of sides of the polygon}
A pentagon is a polygon with five equal sides. Therefore the sum of it's interior angles is calculated as;
(5-2) × 180°
=3×180°
=540°
A hexagon is a polygon with six equal sides. Therefore the sum of it's interior angles is calculated as;
(6-2) × 180°
=4×180°
=720°
Therefore, the ratio of the number of degrees in the interior angles of a regular pentagon, to the number of degrees in the interior angles of a regular hexagon is given as
540:720
If you divide both sides by their prime factors (2×2×3×3×5) the ratio becomes
3:4 in it's simplest form.
As a common fraction, it can be expressed as
3/4.
fluid ounce
B. 11/20
fluid ounce
C. 27/31
fluid ounce
D. 1 13/50
fluid ounces
Answers
Answer: C. 27/31 fluid ounce
Step-by-step explanation:
First, let's turn the mixed number into a fraction:
Then, to solve the problem we can use a simple rule of three:
31/30 ----------3/10
3 ----------- x
This can be read as: If to make 31/30 fluid ounces of purple you need 3/10 fluid ounces of red, then to make 3 fluid ounces of purple how many fluid ounces of red will you need?
So, to make 3 fluid ounces of purple paint, Isabelle will need 27/31 fluid ounces of red paint.