Answer:
Rational Function
Step-by-step explanation:
Gives the function:
It has the following,
Domain
x∈ :
Range
End behaviour
As x
Horizontal and Vertical Asymptote
Vertical
Horizontal
<em>x-intercept: (2,0)</em>
<em>y-intercept: none</em>
<em>**The Graph is in the annex</em>
Given :
Interest rate , r = 4 %.
To Find :
The APY .
Solution :
APY is given by :
Here , r is compound interest and n is number of time compounded .
So ,
Therefore , APY is 30.57 % .
Hence , this is the required solution .
Answer:
9 3/8 tons
Step-by-step explanation:
The product is ...
(4 3/8 containers)(2 1/7 tons/container) = (35/8)(15/7) tons = 75/8 tons
= 9 3/8 tons . . . of sugar in the shipment
Answer:
13. B. 24 cm²
14. y = 5⅝ (none of the options is correct)
Step-by-step explanation:
13. The figure is a trapezoid
Area of the trapezoid = ½(a + b)h
Where,
a = 3 cm
b = 5 cm
h = 6 cm
Area = ½(3 + 5)6
= ½(8)6
= 4*6
= 24 cm²
14. Area of the triangle = ½*b*h
The area is given to be 45 cm²
base (b) = 16 cm
height (h) = y
Plug in the values and solve for y
45 = ½*16*y
45 = 8y
Divide both sides by 8
45/8 = 8y/8
45/8 = y
5⅝ = y
y = 5⅝ (none of the options is correct)
Answer:
k=20
Step-by-step explanation:
when x approaches 4, the denominator x-4 approaches 0
if the denominator is 0, it means that this is invalid
if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit
so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4
so x^2 + x - k = 0 when x = 4
4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20