Answer:
Choice C is the answer.
Step-by-step explanation:
We have given two functions.
f(x) = 2x² - 5x -3 and g(x) = 2x² + x
We have to find (f/g) (x) .
The formula to find (f/g) (x) is :
(f/g) (x) = f(x) / g(x)
Simplifying f(x) and g(x) , we have
f(x) = 2x²-6x+x-3
f(x) = 2x(x-3)+1(x-3)
f(x) = (2x+1)(x-3)
g(x) = x(2x+1)
Putting above values in formula , we have
(f/g)(x) = (2x+1)(x-3) / x(2x+1)
(f/g)(x) = x-3 / x
Denominator must not be zero.
(f/g)(x) = x-3 / x , x ≠0
Answer:
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Answer: 4.6 (rounded to the nearest tenth)
Step-by-step explanation:
I assume that 1.6 is the coefficient of x, which is what we're trying to find out in this case.
Therefore, dividing 1.6 on both sides we get
from
1.6x = 7.37
to
x = 7.37/1.6 = 4.6 (approximately, rounded to the nearest tenth).
Answer:
1 / 5
Step-by-step explanation:
There are 45 players in the squad
36 stretch regularly.
players that don't stretch regularly = 45 - 36 = 9
Fraction = players that don't stretch regularly / total number of players = =
Answer: y = -1 and x = 3
Step-by-step explanation:
x=-2y+6
3x-4y = 28
There are two ways to solve this: 1) solve directly with the equations, and 2) graph the line and look for the intersection.
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Use the definition of x from the first equation and substitute it in the second:
3x-4y = 28
3(-2y+6)-4y = 28
-6y + 18 -4y = 28
-10y = 10
y = - 1
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Graph the two lines and find the value of y at the point they intersect. See the attachment.
y = -1 at x= 8
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For the second question:
y=3x-10
4x+5y=7
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4x+5y=7
4x+5(3x-10)=7
4x+15x-50=7
19x = 57
x = 3
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