Answer:
The set of all real values except 7
Step-by-step explanation:
We are given that,
Domain of the function f(x) is 'the set of all real values except 7'.
Domain of the function g(x) is 'the set of all real values except -3'.
It is required to find the domain of 
.
Now, we know that,
<em>The composition of functions 
and 
will be defined where the function is defined.</em>
Since, the domain of f(x) is 'the set of all real values except 7'.
Thus, the domain of is also 'the set of all real values except 7'.
Answer:
Step-by-step explanation:
So the distance that he ran is 30 yards since he ran from the 10 to 40 yard line. making it 30 yards. It is then said he ran this in 10 seconds
Now all you have to do is divide 30yards by 10seconds to see how many yards he ran in a sec. Dividing it you get 3 yards per second
x3 - 5x2 + 9x - 45 = 0
It is a polynomial of degree three, therefore, it has three roots.
For this case, what we can do is factorize to write the polynomial in an easier way and thus be able to find the roots.
Factoring we have:
(x - 5) (x ^ 2 + 9) = 0
x = 5
x = 3i
x = -3i
Answer:
three roots:
x = 5
x = 3i
x = -3i
Answer:
x+y= 120
90x+250y=27,600
Step-by-step explanation:
x= number of certain tickets
y= number of remaining tickets
The statement indicates that for a particular flight the airline sold 120 tickets which means that the sum of the different tickets is 120. The first equation is:
x+y= 120
Then, the statement says that certain number of tickets costs $90 and the remaining tickets cost $250 and that for a particular flight, the airline collected $27,600. From this, you can say that the number of certain tickets, x, multiply for its price that is $90 plus the number of the remaining tickets, y, multiply for its price that is $250 would be equal to $27,600. The equation would be:
90x+250y=27,600
According to this, the answer is that the system of equations that represents this relationship between x and y is:
x+y= 120
90x+250y=27,600
For this case what we must do is find the unit rate of grams of fat for every tablespoon of the powder.
We have then:
Substituting values we have:
Then, rewriting we have:
Answer:
There are 
grams of fat are there for every tablespoon of the powder
