Answer:
-9
Step-by-step explanation:
What b represents here is the y intercept.
The first thing we will do here is to find the slope.
Mathematically;
m = (y2-y1)/(x2-x1)
Plugging the values;
m = (12-3)/(7-4) = 9/3 = 3
The equation can thus be written as;
y = 3x + b
To get b, we can use any of the points since they lie on the line
Let’s use point M
Substitute the values of x and y in the equation
3 = 3(4) + b
3 = 12 + b
b = 3-12 = -9
Answer:
Step-by-step explanation:
The answer is: Substitution property of equality.
The explanation is shown below:
1. To solve this problem you must apply the proccedure shown below:
2. When you clear the variable x from the first equation, and subtitute it into the second equation, you obtain:
<span>3x−2y=10
x=(10+2y)/3
4x−3y=14
</span>4[(10+2y)/]−3y=14
<span> y=-2
3. When you subsitute y=-2 into the first equation and clear the x, you have:
x=2
</span>
Answer:
x = 4, -6
Step-by-step explanation:
x = 4, -6
Answer:
x=2.125
y=0
C=19.125
Step-by-step explanation:
To solve this problem we can use a graphical method, we start first noticing the restrictions 
and 
, which restricts the solution to be in the positive quadrant. Then we plot the first restriction 
shown in purple, then we can plot the second one 
shown in the second plot in green.
The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.
So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.
