Answer:
, , and
Step-by-step explanation:
1.
Let's find a common denominator:
=
2/(x-1)x(x+1)
2.
Distribute exponents:
2^3(y^2)^3
__________
8^2(y)^2
Numerator:
2 to the power of 3 equals (2 · 2 · 2) = 8
y to the power of 2 to the power of 3 equals, y to the power of 6 (this is because when exponents in parenthesis are held to the power of another number outside of the parenthesis, you multiply them)
Now let's simplify the denominator:
8 to the power of 2 equals (8 · 8) = 64
y to the power of 2 is just y to the power of 2, so our new expression is:
Let's cancel the terms further:
8/64 can be simplified to 1/8
And when you cancel exponents, you subtract the denominator's exponent from the numerator's exponent ( = )
Now put them together:
Which is,
=
y^4/8
3.
The common denominator for both fractions is 3t, so let's make -1/3's denominator 3t by multiplying t to both the numerator and the denominator:
-1 · t
_____ = -1(t)/3t = -t/3t
3 · t
Now let's solve for the numerator:
(t + 2) - t, the t's cancel out, t - t + 2 = 2
And the denominator stays the same, so it will still equal 3t
Finally, you'll get an answer of
=
2/3^2
B. 3.99x + 12.25 =77.49
C. 12.25(x+3.99) = 77.49
D. 12.25x+3.99= 77.49
Answer:
D. 12.25x +3.99 = 77.49
Step-by-step explanation:
If the sum of two numbers is 45 and their product is 500 the numbers are 25 and 20 respectively.
A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The two numbers are a and b.
Given, a + b = 45...(1) and ab = 500...(2)
(a + b)² = a² + 2ab + b².
2025 = a² + b² + 1000.
a² + b² = 1025.
Now,
(a - b)² = a² + b² - 2ab.
(a - b)² = 1025 - 1000.
(a - b)² = 25.
(a - b) = 5....(3)
Now, Adding eqn(1) and eqn(2) we get,
2a = 50.
a = 25 and hence b = 20.
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