Answer:
<em>1 and -4</em>
Step-by-step explanation:
<em>The vertical asymptote of a function is gotten by equating the denominator of such function to zero.</em>
Given
f(x) = 4x+8/x^2+3x-4
The vertical asymptotes is expressed as;
x^2+3x-4 = 0
Factorize
x^2+4x-x-4 = 0
x(x+4) -1 (x+4) = 0
(x-1)(x+4) = 0
x-1 = 0 and x+4 = 0
x = 1 and x = -4
<em>Hence the vertical asymptotes of the function are 1 and -4</em>
What does that mean if you don’t give us a hint?
Answer:
52.500 by 52.500 inches
Step-by-step explanation:
The rectangle with maximum area will be a square. Its side length will be 1/4 the perimeter, so is 210/4 = 52.5 inches.
The figure is a 52.500 inch square. The interval of optimization is <em>closed</em>.
_____
Side lengths are restricted to the interval 0 to 105 inches.
__
Any n-sided polygon with a given perimeter will have its maximum area when the polygon is regular. A regular 4-gon is a square.
Answer: $1150
Step-by-step explanation:
Simple interest is calculated as:
= Principal × Rate × Time
where,
Principal = $2000
Rate = 5.75%
Time = 10
Interest = 2000 × 5.75% × 10
= 2000 × 0.0575 × 10
= 1150
The amount earned will be $1150.
