i) The given function is
The domain is all real values except the ones that will make the denominator zero.
The domain is all real values except, x=2.5.
ii) To find the vertical asymptote, we equate the denominator to zero and solve for x.
iii) If we equate the numerator to zero, we get;
This implies that;
iv) To find the y-intercept, we put x=0 into the given function to get;
.
.
.
v)
The degrees of both numerator and the denominator are the same.
The ratio of the coefficient of the degree of the numerator to that of the denominator will give us the asymptote.
The horizontal asymptote is 
.
vi) The function has no common factors that are at least linear.
The function has no holes in it.
vii) This rational function has no oblique asymptotes because it is a proper rational function.
Answer:
x = 10
Step-by-step explanation:
First, to solve for x, you need to isolate the variable, meaning that it needs to be the only term on one side of the equation. To do this, we'll just cancel out the -3 by adding +3 on both sides of our equation.
x - 3 = 7
+3 +3
x = 10
Leaving us with our answer, x = 10
Hope this helped :)
Answer:
<em>T</em><em>h</em><em>e</em><em> </em><em>c</em><em>o</em><em>r</em><em>r</em><em>e</em><em>c</em><em>t</em><em> </em><em>a</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em> </em><em>i</em><em>s</em><em> </em><em>y</em><em>.</em>
Step-by-step explanation:
<em>h</em><em>o</em><em>p</em><em>e</em><em> </em><em>i</em><em>t</em><em> </em><em>w</em><em>o</em><em>r</em><em>k</em><em>s</em><em> </em><em>o</em><em>u</em><em>t</em><em> </em><em>!</em><em>!</em>
Answer:
A≈2463.01
Step-by-step explanation:
A=4πr^2 is the formula for a sphere, r being radius
Answer:
(1) 39 feet
Step-by-step explanation:
Feris wheel moves in a circular pattern. But if you take imaginary horizontal and vertical lines from your location to the Ferris wheel's center, you can wee see this make a triangle. This question is about trigonometry. Horizontal distance is the adjacent side and vertical distance is the opposite side. Your straight line distance to the center is the hypotenuse(45 feet). Then we can solve the question using the sin formula.
sin x = opposite/hypotenuse
sin 120 = vertical distance/ 45 feet
vertical distance = 0.8660 * 45 feet
vertical distance =38.97 feet = 39 feet
