Answer:
C
Step-by-step explanation:
-5x-49>113
+49 +49
———————-
-5x>162
—- ——
-5 -5
x<32.4
Answer:
Step-by-step explanation:
We have the equations
4x + 3y = 18 where x = the side of the square and y = the side of the triangle
For the areas:
A = x^2 + √3y/2* y/2
A = x^2 + √3y^2/4
From the first equation x = (18 - 3y)/4
So substituting in the area equation:
A = [ (18 - 3y)/4]^2 + √3y^2/4
A = (18 - 3y)^2 / 16 + √3y^2/4
Now for maximum / minimum area the derivative = 0 so we have
A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0
-3/8 (18 - 3y) + √3 y /2 = 0
-27/4 + 9y/8 + √3y /2 = 0
-54 + 9y + 4√3y = 0
y = 54 / 15.93
= 3.39 metres
So x = (18-3(3.39) / 4 = 1.96.
This is a minimum value for x.
So the total length of wire the square for minimum total area is 4 * 1.96
= 7.84 m
There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.
Answer:
24/30
48/60
96/120
Step-by-step explanation:
The x-intercepts of a function are used to express the function into factored form:
From (1/2, 0)
(x - 1/2)
From (6, 0)
(x-6)
(x - 1/2) (x-6) = 0
(2x -1)(x-6) = 0
The function is:
B. g(x) = (x – 6)(2x – 1)
