Answer: There is an asymptote at x = 4 and 2
and hole at x=2
Explanation:
To find vertical asymptote simply equate denominator to zero and find the value of x which is the vertical asymptote.
and hole is the point where numerator and denominator gives equal value
So, to find hole find fractions of numerator and denominator separately the common factor is the hole.
Here after factorisation the given function
Here, (x-2) is the common factor in numerator and denominator is the hole and value of x at denominator after equating to zero is x=2 ,4
Answer:
V = (119.27 in²)(6 in) = 235.26 in³
Step-by-step explanation:
First find the area of the half circle (face only) and the area of the (face only) rectangular prism base.
The radius of this circle is 5 in, so half the area of this this circle is:
A1 = (1/2)π(5 in)², or approx. 39.27 in²
The face area of the rectangular prism is (8 in)(10 in) = 80 in²
So the total, combined face area of this solid is 119.27 in².
Now multiply this result by the depth of the solid, which is 6 in. The result is the volume of the solid: V = (119.27 in²)(6 in) = 235.26 in³
Answer:
5 1/3
Step-by-step explanation:
i think
Answer:
$461.15
Step-by-step explanation:
Total amount of items:
Add all the prices together
399.99+24.99+5=429.98
Sales tax:
Convert 7.25% to a decimal
7.25/100=0.0725
Multiply the total by the decimal
429.98*0.0725=31.17355
Final cost:
Add the sales tax and total amount
429.98+31.17355=461.15355
Round to the nearest cent/hundreth
$461.15
Hope this helps! :)
Answer:
(x, y) = (4, 16)
Step-by-step explanation:
The first equation is a proportion, so you know right away that (0, 0) is on the graph. Pick any value you like for x, and y will be 4 times that. So, for example, the point (5, 20) will also be on the graph of y=4x.
The second equation has a y-intercept of 20 and a slope of -1. So, however many unit to the right of the y-axis you choose to go, the y-value will be down that number of units from 20. In addition to (0, 20), the point (5, 15) will be on the graph of y = -x+20.
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Personally, I like to use a graphing calculator to show the graphical solution.
Here, the solution is (x, y) = (4, 16).