Dividing x^2 - 16 by 4x - 24 gives the quotient (1/4)x + 3/2
y = (1/4)x + 3/2 would be an asymptote ( discontinuity)
Another would be a vertical discontinuity when x = 6 (this would make the denominator 4x-24 = 0.
We know that ∠E = ∠F because of the vertical angle theorem.
Using substitution we get 8x + 8 = 2x + 38
Solve for x.
8x + 8 = 2x + 38
8x = 2x = 30 <-- Subtract 8 from each side
6x = 30 <-- Subtract 2x from each side
x = 5 <-- Divide both sides by 6
So, x is equal to 5.
The length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.
<h3>What is the Pythagoras theorem?</h3>
The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
We have:
Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft.
From the Pythagoras theorem:
Perpendicular(P) = 32 ft
Base(B) = 20 ft
H = √(32²+20²)
H = √1424
H = 37.7 ft
Thus, the length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.
Learn more about Pythagoras' theorem here:
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Answer:
x intercept is (3,0)
y intercept is (0,6)
Step-by-step explanation:
Answer:
Step-by-step explanation:
We know that the break even point is the point where the cost and the revenue equations intersect. So the break even point in this situation is:
C= R
<=> 20/3x+50 = 10x (with x > 0 and x is a whole number)
<=> 
-50x -20 = 0
<=> x ≈ 5
If the company sells more than 5 items, it will have benefit
If the company sells less than 5 items, it will lose
