Answer:
Answers provided below
Step-by-step explanation:
From the simultaneous linear equation, we have the coefficient matrix as;
(3 4 5)
(2 -1 8)
(5 -2 7)
The x-matrix is Dx is given by;
(18 4 5)
(13 -1 8)
(20 -2 7)
Similarly, the y-matrix Dy is given by;
(3 18 5)
(2 13 8)
(5 -20 7)
Also,the z-matrix Dz is given by;
(3 4 18)
(2 -1 13)
(5 -2 -20)
Determinant of the coefficient matrix from online determinant calculator is;
D = 136
Determinant of the x-matrix from online determinant calculator is; Dx = 92
Determinant of the y-matrix from online determinant calculator is; Dy = 696
Determinant of the z-matrix from online determinant calculator is; Dz = 576
From crammers rule;
x = Dx/D = 92/136
y = Dy/D = 696/136
z = Dz/D = 576/136
Answer:
10y + 29 ≤ -23
Step-by-step explanation:
subtract 29 from each side to get:
10y ≤ -52
y ≤ -5.2
Answer:
19 hrs
Step-by-step explanation:
t varies inversely with number of people p
t = k/p
If it takes 7.125 hrs for 8 workers to do the job
K = tp
= 7. 125 x 8
= 57
How many hours will it take if there are 3 workers .
Recall t = k/p
t = 57/3
= 19 hrs
Therefore, It’ll take 19 hrs to Complete the job if there are only three workers.
Answer:
-27-2x
Step-by-step explanation:
5-3x+x-32
(collect like terms)
5-32-3x+x
<h2><u><em>
-27-2x</em></u></h2>
<h3>
Answer: Choice A</h3>
Why? Because the denominators are both the same at 2x+8. We can only add or subtract fractions when the denominators are the same. The general rule for adding fractions is
We have numerators A and B added together over a common denominator C. If we didn't have a common denominator, then we'd have to do a bit of algebraic manipulation to get both fractions to a common denominator. It doesn't have to be the lowest common denominator (LCD), though it's often more efficient that way.
