Answer:
C. Yes, because A does not have a pivot position in every row.
Step-by-step explanation:
The pivot position in the matrix is determined by entries in non zero rows. The pivot position may be in the row or a column. By Invertible Matrix Theorem the equation Axequalsb has non trivial solution. A has fewer pivot positions therefore A is not invertible. Ax will map RSuperscript into real numbers for n times. A has pivot position if left parenthesis bold x right parenthesis.
Answer:
-1.9 < -1.45 < -1/3 < 0 < 0.25
Step-by-step explanation:
Use LCD, compare the numerators of each fraction and put them in correct order from least to greatest or greatest to least.
A) <span>5x^2-13x-6
1. First, you must find the roots of the quadratic equation, by applying the quadratic formula, which is:
x=-b</span>√(b²-4ac)/2a
<span>
2. The roots are:
x1=3
x2=-2/5
3. Then, you have:
5(x-3)(x+2/5)
4. When you simplify, you obtain:
(x-3)(5x+2)
B) </span>4x^4-28x^3+48x^2<span>
1. First, you must factor the common term, which is 4x</span>^2. Then:
<span>
4x</span>^2(x^2-7x+12)
<span>
2. Now, you must apply the quadratic formula to obtain the roots of the quadratic equation: </span>x^2-7x+12. Then, you have:
x1=4
x2=3
3. Finally, you obtain:
4x^2(x-4)(x-3)
R'S' = RS x 3/4
R'S' = 8 x 3/4 = 6 units
S'T' = ST x 3/4
S'T' = 10 x 3/4 = 7.5 units