Answer: A.
The system is consistent because the rightmost column of the augmented matrix is not a pivot column.
Explanation: a system is consistent if and only if the rightmost column of the augmented matrix is not a pivot column. Since every column of the coefficient matrix is a pivot column, none of the leading coefficients are in the rightmost column of the augmented matrix. Therefore the rightmost column of the augmented matrix cannot be a pivot column and the system must be consistent.
Answer:
Step-by-step explanation:
y = x^2 + 4
x = 11 Put this value in wherever you see an x on the right.
y = 11^2 + 4
11^2 = 11 * 11 = 121
y = 121 + 4
y = 125
Answer:
0.9 yd³
Step-by-step explanation:
Information given:
Length = 18 ft
Width = 1.5 ft
Height = 1 ft
What to find/do:
First, convert the measurement from feet to yards. (3 ft = 1 yard)
Length = 18 ft = 6 yd
Width = 1.5 ft = 0.5 yd
Height = 1 ft = 0.3 yd
Next, find the volume of the shape given. The volume would give us the amount of concrete to use in yards.
Formula for volume = L*W*H
Plug in the values into the formula
V = 6*0.5*0.3 = 0.9 yd³
0.9 cubic yard of concrete must be ordered to pour on the given section.
Area of the volume
Answer:
24
Step-by-step explanation:
the question translates to asking how many times does 7/8 fit in 21, so 21 divided by 7/8.
when we divide by a fraction, we can multiply by it's inverse, so 21 divided by 7/8, is 21 multiplied by 8/7. so:
21×8/7 = (21×8)/7 = (21/7)×8 = 3×8 = 24
