Simplify: [{y^(2/7)}/{y^(1/2)}]
Since, [{a^(p/q)}/{a^(r/s)}] = a^{(p/q)-(r/s)}
Where,
- a = p
- p/q = 2/7 and
- r/s = 1/2
so,
= y^{(2/7)-(1/2)}
Take the LCM of denominator i.e.,2 & 7 is 14.
= y^{(2*2 - 1*7)/14}
= y^{(4-7)/14}
= y^(-3/14) Ans.
<u>read</u><u> </u><u>more similar</u><u> questions</u><u>:</u> Which equation can be simplified to find the inverse of y = x2 – 7? a: x=y ^ 2 - 1/7 b: 1/x = y^2 - 7 c: x = y^2 – 7 d: –x = y^2 – 7..
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Answer:
y = 4x
Step-by-step explanation:
If y is directly proportional to x (which is what I assume you are meaning in this question), this means that
y = kx, where k is the constant of proportionality.
To find k, we simply substitute in the given x and y values, and solve for k. i.e we to get:
8 = k x 2.
k = 8/2 = 4.
so y = 4x
The distance from florist to movie theater is about 3.5 km on the same street.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
A book store and a movie theater are 6 kilometers apart. The florist is on the same street, 2.5 kilometers from the theater. Hence:
Distance from book store to movie theater = Distance from book store to florist + Distance from florist to movie theater
Hence:
6 km = 2.5 km + Distance from florist to movie theater
Distance from florist to movie theater = 3.5 km
The distance from florist to movie theater is about 3.5 km on the same street.
Find out more on equation at: brainly.com/question/2972832
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Answer:
3 1/3 and 2
Step-by-step explanation:
Let the numbers be x and y and let z be the constant of proportion. Then
xy = 5z ...............(1)
x + y = 4z ...........(2)
x - y = z ..............(3) Adding (2) and (3)
2x = 5z
x = 5z/2 ................(4)
Substituting for x in equation 1:
5z/2 * y = 5z
y = (5z * 2) / 5z = 2.
Substituting for y in equations (2) and (3):
x + 2 = 4z
x - 2 = z Subtracting:
4 = 3z
z = 4/3.
Substituting for z in equation (4)
x = 5(4/3) /2
x = 20/6 = 10/3 = 3 1/3.
So the 2 numbers are 3 1/3 and 2.
Checking the results:
xy = 2 * 10/3 = 20/3 = 5 * 4/3 = 5z
x + y = 10/3 + 2 = 16/3 = 4 * 4/3 = 4z.
x - y = 10/3 - 2 = 4/3 = z.
Answer:
x^8-y^8
Step-by-step explanation:
