Tutors Answer Your Questions about Radicals (FREE)
Question 188648: . Rationalize the denominator:
2____
√[6] – √[5]
It came out fuzzy I will retype it
2/sqrt[6]-[5]
. Simplify the rational expression:
x2 – 3x – 10 find the gcf of the polynomial
x2 – x – 20
. Simplify:
√[144x10y12z18]
Click here to see answer by Alan3354(69443)   |
Question 188921: Find all real number solutions of the equation algebraically:
 -  = 2
Can someone show me how to solve the problem by first isolating on the left side of the equation and then squaring each side?
So the first step gives us...
= 2+
Now how do I square each side of this equation and find all solutions of x?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 188921: Find all real number solutions of the equation algebraically:
- = 2
Can someone show me how to solve the problem by first isolating on the left side of the equation and then squaring each side?
So the first step gives us...
= 2+
Now how do I square each side of this equation and find all solutions of x?
Click here to see answer by Alan3354(69443) |
Question 189931: To determine the width of a pond, a surveyor locates two stakes at either end of the pond and uses instrumentation to place a third stake so that the distance across the pond is the length of a hypotenuse. If the third stake is 90m from one stake and 70m from the other, what is the distance across the pond?
Click here to see answer by stanbon(75887) |
Question 190041: I need your help solving a radical word problem. I was given the following formula to use for this question:
W=91.4-(10.5 + 6.7^v-.045v)(457-5t)/110
The wind chill temperature is "W" (how cold the air feels). The temperature is "t" and the velocity is "v". I was asked the following question:
"Who will feel colder, a person in Minneapolis at 10 degrees F with a 15mph wind or a person in Chicago at 20 degrees F with a 25mph wind."
This is how I began to work it:
91.4-(10.5 + 6.7^15-6.75)(457-50)
91.4-(17.2 * ^8.25)(407)
Then I got lost. Can you help me with this?
Click here to see answer by ankor@dixie-net.com(22740) |
Question 190280: 4 + radical 2
______________
4 - radical 2
That line on top is suppose to represent a fraction bar.
I eliminated 4 and multiplied negative radical 2 and I'm lost from there.
I don't know if I'm doing it right & i would appreciate anyone's help.
Thank you.
Click here to see answer by solver91311(24713)  |
Question 190314: Hi, I just want to know if I did the right thing on my homework.Please help me.
1) Find the domain of each square root of function. Then use the domain to graph the radical function.The graphs are labeled (a) through (f) and are shown in [-10,10,1] by [-10,10,1] viewing rectangles.]
f(x)= square root of 8-2x
Solution:
8-2x <=(less than or equal to) 0
-2x <= -8
x<= 4
The domain of f is{x\x<=4) or (-infinity, 4}
2)Multiply & simplify. Assume that all variables in a radicand represent positive real numbers and no radicands involve negative quantities raised to even powers.
sqrt of 5xy multiply by sqrt of 10xy^2
Sol'n:
=sqrt of 5xy.10xy^2
=sqrt of 50x^2y^3
=sqrt of 25x^2y^2 x sqrt of 2y
=5xy sqrt of 2y
3)Add or subtract as indicated. You will need to simplify terms to identify the like radicals,
5 sqrt of 12 + sqrt of 75
Sol'n:
=5sqrt of 4x3 + sqrt of 25x3
=5 x 2 x sqrt of 3 + 5sqrt of 3
=10sqrt of 3 + 5 sqrt of 3
=(10+5)sqrt of 3
= 15sqrt of 3
Please let me know my mistakes...Thanks a lot in advance.
Kattie
Click here to see answer by stanbon(75887) |
Question 190548: For the following function, C computes the cost in millions of dollars of implementing a city recycling project when x percent of the citizens participate. c(x)=(1.3x)/(100-x)
a)Using this model, approximately what is the cost if 40% of the citizens participate? Include units with your answer
b)Using this model, estimate the percentage of participation that can be expected if $3 million is spent on this recycling project? Set up an equation and solve algebraically. Round to the nearest whole percent.
Click here to see answer by stanbon(75887) |
Question 190783: Suppose that N = sqrt x + 4 models the number of cases of an infection, in millions of a disease x years from now. Approx. how many cases of the infection will there be 16 years from now? In approx. how many years will there be 6 million cases?
Click here to see answer by stanbon(75887) |
Question 190884: Can someone please explain to me how 32^(4/5) equals 16. This is dealing with rational exponents and I am not sure nor can I figure it out how they came up with 16.
What are the steps to come up with this answer?
ANy help at all would be greatly appreciated.
Click here to see answer by jim_thompson5910(35256) |
Question 190884: Can someone please explain to me how 32^(4/5) equals 16. This is dealing with rational exponents and I am not sure nor can I figure it out how they came up with 16.
What are the steps to come up with this answer?
ANy help at all would be greatly appreciated.
Click here to see answer by solver91311(24713) |
Question 190845: Initial speed (velocity) of Vo will travel a distance of (s) meters, where s=4.9t^2 + Vot and t is measured in seconds. Solve for t.
Use 4.9t^2 + Vot=s
Downward speed:
An object thrown downward from 200-m cliff travels 91.2m in 4 sec. What was the initial velocity of the object.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 190911: I need to find a polynomial of degree 4 with integer coefficients that have roots:-2,3,and 3+2i such that P(3)=-80.
I know to use the conjugate of 3+2i which is 3-2i, and I know how to put them in the f(x)=a(x-r1)(x-r2...format, but from there I get tripped up and can't figure out what to do with P(3)=-80. Thanks
Click here to see answer by Edwin McCravy(20055)  |
Question 190923: I dont seem to understand these problems is on page 581 problems 46,47,48,49,54,and 55
It says Exprees in simplest radical from , but when i look at the examlpe #3 I cant understand and I try looking in the back for the answer to do it instead of copying the answer it seems dosent come out rught can u please help???
Click here to see answer by Alan3354(69443) |
Question 190966: This is an update of a previous problem which I copied wrong
I need to find a polynomial of degree 4 with integer coefficients that have roots:-2,5,and 3+2i such that P(3)=-80. I know to use the conjugate of 3+2i which is 3-2i, and I know how to put them in the f(x)=a(x-r1)(x-r2...format, but from there I get tripped up and can't figure out what to do with P(3)=-80. Thanks.
Click here to see answer by solver91311(24713) |
Question 190967: This is an update of a previous problem which I copied wrong
I need to find a polynomial of degree 4 with integer coefficients that have roots:-2,5,and 3+2i such that P(3)=-80. I know to use the conjugate of 3+2i which is 3-2i, and I know how to put them in the f(x)=a(x-r1)(x-r2...format, but from there I get tripped up and can't figure out what to do with P(3)=-80. Thanks.
Click here to see answer by stanbon(75887) |
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