Y = ax + b;
0.89 = a * 2 + b and 2.09 = a * 5 + b =>
=> 2.09 - 0.89 = a * 5 + a * 2 + b - b => 1.20 = 3 * a => a = 1.20 / 3 => a = 0.40;
b = 0.89 - 0.40 * 2 => b = 0.89 - 0.80 => b = 0.09;
y = 0.40x + 0.09 => 0.40x - y + 0.09 = 0 is the linear equation.
Answer:
discriminant =0
1 real root
Step-by-step explanation:
The discriminant is b^2 -4ac
when the equation is written in the form ax^2 +bx+c
f(x) = 3x^2 +24x+48
a = 3 b = 24 and c =48
discriminant = 24^2 - 4(3)*(48)
=576-576
=0
If the discriminant >0 we have 2 real roots
if discriminant = 0 we have 1 real root
if discriminant <0 we have 2 complex roots
48=x+y
143= 2x+4y
y= sheep
48-y = x
143=2(48-y)+4y
143= 96-2y+4y
143=96+2y
47=2y
y=19
19 sheep
Answer:
Option (B)
Step-by-step explanation:
Let the weight of one container = x pounds
Therefore, weight of 5 containers = 5x pounds
Weight of the platform = 30 pounds
Total weight of the platform and containers = (5x + 30) pounds
If the maximum weight that can be lifted by the cable = 780 pounds
Inequality representing this situation will be,
(5x + 30) < 780
5x < 780 - 30
5x < 750
x < 150
Therefore, Option (B) is the answer.
