You need to make a series of equations from what you are given first. I am going to use the first letter of each of the names to represent the length of that persons wire.
1/2s=2/5d
3c=s
s+d+c=6 ft
Okay. Now you can combine the first two equations knowing what s equals:
1/2(3c)=2/5d
d=15c/4
Now you have d=15c/4 and s=3c, so you can replace d and s in the third equation.
3c+15c/4+c=6
Then solve for c and plug it into the equation 3c=s to find the length of sarah's wire.
Exponential functions are known to increase geometrically. An example of exponential function is p(x) = 500(1.02)^x
<h3>Exponential functions</h3>
Exponential functions are known to increase geometrically. The standard exponential function is given as:
y = ab^x
a is the base
x is the exponent
From the given options, the function written in this form is
p(x) = 500(1.02)^x. Hence an example of exponential function is
p(x) = 500(1.02)^x
Learn more on exponential function here: brainly.com/question/12940982
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The discriminant is b^2 -4ac
a = 1
b = -2
c = 4
discriminant = 4 -4 * 1 * 4 =
4 -16 =
-12
I get MINUS 12 as the answer but that isn't one of the choices.
<u><em>Answer: =2.23</em></u>
Step-by-step explanation:
Square root like this: √
5=2.23
You can also round up to the nearest hundredths and it's going to be stay. If the digit is 5 or more it's going to round up to the nearest tenths, hundredths, and thousandths.
Hope this helps!
Thank you!
Have a great day!
Answer: Horizontal asymptote is
and vertical asymptotes are 
Step-by-step explanation:
Since we have given that

We need to find the horizontal and vertical asymptotes.
Since vertical asymptotes will occur where the denominator becomes zero.
So, here denominator is 
Now,

And the horizontal asympototes will occur when the coefficient of higher degree of numerator is divided by coefficient of higher degree of denominator.

Hence, horizontal asymptote is
and vertical asymptotes are 