Answer:
The equilibrium point is at x = 6
Step-by-step explanation:
Given
Required
Determine the equilibrium point
The equilibrium point is determined by
Substitute values for Demand and Supply
Cross Multiply
Take positive square root of both sides
Hence;
<em>The equilibrium point is at x = 6</em>
1) (f + g)(2) = 7 + 3 = 10 The answer is C
2) (f - g)(4) = 11 - 15 = -4 The answer is A
3) f(1) = 2(1) + 3 = 5 g(1) = 1² - 1 = 0 The answer is D
4) (f xg ) (1) = 7/3 The answer is B
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Answer: Tthe tower is 129 feet tall.
Step-by-step explanation:
According to trigonometry in a right triangle:
Let x be the height of the tower.
Given , 
Since tower stands vertical to the ground, that means it is making a right triangle with the shadow.
![\tan 65^{\circ}=\dfrac{x}{60}\\\\\Rightarrow\ 2.1445=\dfrac{x}{60}\ \ \text{[Using calculator]}\\\\\Rightarrow x= 2.1445\times60=128.67\approx129\text{ feet}](https://tex.z-dn.net/?f=%5Ctan%2065%5E%7B%5Ccirc%7D%3D%5Cdfrac%7Bx%7D%7B60%7D%5C%5C%5C%5C%5CRightarrow%5C%202.1445%3D%5Cdfrac%7Bx%7D%7B60%7D%5C%20%5C%20%5Ctext%7B%5BUsing%20calculator%5D%7D%5C%5C%5C%5C%5CRightarrow%20x%3D%202.1445%5Ctimes60%3D128.67%5Capprox129%5Ctext%7B%20feet%7D)
Hence, the tower is 129 feet tall.
Y should be replaced in the equiation with 2
So it would be...
2y - 4
2·2 - 4
