Answer:
15 seats
Step-by-step explanation:
It is given that section A of a theater contains 12 rows of 15 seats each.
Now, it is also given that section B contains only 10 rows it has an equal number of seats the same as section A.
As the number of seats in each row of section A is 15, so, the number of seats in each row of section B will be 15 and the same as section A. (Answer)
Answer:
A.) gf(x) = 3x^2 + 12x + 9
B.) g'(x) = 2
Step-by-step explanation:
A.) The two given functions are:
f(x) = (x + 2)^2 and g(x) = 3(x - 1)
Open the bracket of the two functions
f(x) = (x + 2)^2
f(x) = x^2 + 2x + 2x + 4
f(x) = x^2 + 4x + 4
and
g(x) = 3(x - 1)
g(x) = 3x - 3
To find gf(x), substitute f(x) for x in g(x)
gf(x) = 3( x^2 + 4x + 4 ) - 3
gf(x) = 3x^2 + 12x + 12 - 3
gf(x) = 3x^2 + 12x + 9
Where
a = 3, b = 12, c = 9
B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)
To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula
Y = 3x + 3
X = 3y + 3
Make y the subject of formula
3y = x - 3
Y = x/3 - 3/3
Y = x/3 - 1
Therefore, g'(x) = x/3 - 1
For g'(12), substitute 12 for x in g' (x)
g'(x) = 12/4 - 1
g'(x) = 3 - 1
g'(x) = 2.
A rational number would be 81/10 or 8.1
Answer:
A
Step-by-step explanation:
We take a look at this expression:
and notice that both terms are square numbers.
and
.
There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares
, it can always be factored into
.
Here, we can apply that. In this case, a = 7x and b = 3. So:

Thus, the answer is A.
Hope this helps!
Answer:
The answer to this problem is 6.
Step-by-step explanation: