What is the value of the expression 5x+2y y-x2 when x=2 and y =3
1 answer:
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Question:
The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to .
If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?
5n = 3d and n - 2 = 2d - 4
5n = 3d and 2n - 4 = d - 2
3n = 5d and 2n - 4 = d - 2
Answer:
5n = 3d and 2n – 4 = d – 2
Solution:
Let n be the numerator of the fraction and d be the denominator of the fraction.
Given the numerator and denominator of a fraction are in the ratio of 3 to 5.
This can be written as n : d = 3 : 5.
⇒ – – – – (1)
Do cross multiplication, we get
⇒ 5n = 3d
When the numerator and denominator are decreased by 2, the fraction is equal to .
⇒
Do cross multiplication, we get
⇒ 2(n –2)=1(d – 2)
⇒ 2n – 4 = d – 2
Hence, 5n = 3d and 2n – 4 = d – 2 can be used to solve the problem.
Answer:
The equation that represents the line passing through the point (2, -4) with a slope of one half is
Step-by-step explanation:
The equation of a line can be described by a first order equation in the following format:
In which a is the slope of the line.
Solution:
The line slope is , so
.
The equation of the line now is:
The problem states that the line passes through the point(2,-4). This means that when x = 2, f(x) = -4
So:
So, the equation that represents the line passing through the point (2, -4) with a slope of one half is