Answer:
(x+2)(3x+1)
Step-by-step explanation:
Answer with Step-by-step explanation:
Suppose that a matrix has two inverses B and C
It is given that AB=I and AC=I
We have to prove that Inverse of matrix is unique
It means B=C
We know that
B=BI where I is identity matrix of any order in which number of rows is equal to number of columns of matrix B.
B=B(AC)
B=(BA)C
Using associative property of matrix
A (BC)=(AB)C
B=IC
Using BA=I
We know that C=IC
Therefore, B=C
Hence, Matrix A has unique inverse .
6d - 8f + 2
hope this helps
Answer:
$3
Step-by-step explanation:
Let chocolate pie be x and apple pie be y
Darryl made $38 from 2 chocolate pies and 4 apple pies
That’s
2x + 4y = $38
Kayla made $138 from 14 chocolate pies and 12 apple pies
That’s
14x + 12y = $138
We now have two equations
Equation 1 : 2x + 4y = 38
Equation 2: 14x + 12y = 138
Multiply equation one by 12 and equation 2 by 4 to eliminate apple pie y
We have
12 x 2x + 12 x 4y = 12 x 38
4 x 14x + 4 x 12y = 4 x 138
24x + 48y = 456
56x + 48y = 552
Subtract equation equation two from one
-32x = -96
Divide both sides by -32
x = -96/-32
x = 3
A chocolate pie cost $3
Answer: "
x = 1 + √5 " or "
x = 1 − √5" .
______________________________________________________Given:
______________________________________________________ " x² − 2x − <span>4 = 0 " ;
______________________________________________Solve for "x" by using the "quadratic formula" :
</span>Note: This equation is already written in "quadratic format" ; that is:
" ax² + bx + c = 0 " ; { "a

0" } ;
in which: "a = 1" {the implied coefficient of "1" ;
since "1", multiplied by any value, equals that same value};
"b = -2 " ;
"c = -4 " ;
_______________________________________________________The quadratic equation formula:
x = { - b ± √(b² − 4 ac) } / 2a ; {"a

0"} ;
______________________________________________________Substitute our known values:
______________________________________________________ → x = { - (-2) ± √[(-2)² − 4(1)(-4)] } / 2(1) ;
→ x = { 2 ± √(4 − 4(-4) } / 2 ;
→ x = { 2 ± √(4 − (-16) } / 2 ;
→ x = { 2 ± √(4 + 16) } / 2 ;
→ x = { 2 ± √(20) } / 2 ;
→ x = { 2 ± √4 √5} / 2 ;
→ x = { 2 ± 2√5} / 2 ;
→ x = 1 ± √
5 ;
_______________________________________________________→ "
x = 1 + √
5"
or "
x = 1 −
√
5"
.
_______________________________________________________