While both a and c work the most likely answer that they want would be A because it represent the cents already and it shows all possible ways that those two values can be split among 1 dollar
F(x) = 4x - 1. You can get this by using the slope formula and then point-slope form.
1. The slope of f(x) is twice as steep as that of g(x).
2. The y intercept of g(x) is much greater than that of f(x) because 8>-1
16(2+5) since when you use distributive property, 16*2= 32 and 16*5= 80
To check if this point lies on the line, plug in a 2 for x and a y for 1 and solve
x+2y=5
2+2(1)=5
4=5
Since this statement isn't true, then the point doesn't lie on the line
Hope this helps
The sides of the triangle are given as 1, x, and x².
The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.
Consider 3 cases
Case (a): x < 1,
Then in decreasing size, the lengths are 1, x, and x².
We require that x² + x ≥ 1
Solve x² + x - 1 =
x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
Reject the negative length.
Therefore, the lengths are 0.382, 0.618 and 1.
Case (b): x = 1
This creates an equilateral triangle with equal sides
The sides are 1, 1 and 1.
Case (c): x>1
In increasing order, the lengths are 1, x, and x².
We require that x + 1 ≥ x²
Solve x² - x - 1 = 0
x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
Reject the negative answr.
The lengths are 1, 1.618 and 2.618.
Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.