What is the inverse of f(x)=x^4 + 7 for x>0 where function g is the inverse of function f
1 answer:
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Answer:
Step-by-step explanation:
From the picture attached,
a). Triangle in the figure is ΔBCF
b). Since, and
are the parallel lines and m is a transversal line,
m∠FBC = m∠BFG [Alternate interior angles]
Since, and
are the parallel lines and n is a transversal line,
m∠BCF = m∠CFE [Alternate interior angles]
By triangle sum theorem in ΔBCF
m∠FBC + m∠BCF + m∠BFC = 180°
From the properties given above,
m∠BFG + m∠CFE + m∠BFC = 180°
m∠GFE = 180°
Therefore, angle GFE is the straight angle that will be useful in proving that the sum of the measures of the interior angles of the triangle is 180°.
Answer:
There are 6 coins in nickels and 9 coins in quarters.
Step-by-step explanation:
Now, to find the solution.
According to question:
The number of nickels = .
The number of quarters =
So, the total number of coins:
He had 3 more quarters than nickels.
Thus,
.....(1)
Now, to get the solution:
Substituting the equation (1):
<em>Subtracting both sides by 3 we get:</em>
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<em>Dividing both sides by 2 we get:</em>
<em>The number of nickels = 6.</em>
Now, substituting the value of in equation (1):
<em>The number of quarters = 9.</em>
Thus, there are 6 coins in nickels and 9 coins in quarters.