Answer: -58
Explanation: Evaluate the exponent
−64 x 3/4 -10
Then you Multiply the numbers
—64x3/4 -10
-48-10
Subtract the numbers
-58
And -58 is the solution
<span>you must make there be a common denominator(lower number) so 9/10*3(otherwise known as 3/3)=27/30 1/3*10(otherwise known as 10/10=10/30 now we do the math 27/30-10/30=17/30 when you add or subtract fractions you always find a common denominator then only add or subtract the numerator (top number)</span>
Answer:
see explanation
Step-by-step explanation:
Given matrix A =
, then
detA = ad - bc
Given
A = ![\left[\begin{array}{ccc}5&1\\a+1&a\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%261%5C%5Ca%2B1%26a%5C%5C%5Cend%7Barray%7D%5Cright%5D)
detA = 5a - (a + 1) = 5a - a - 1 = 4a - 1
and
4a - 1 = 7 ( add 1 to both sides )
4a = 8 ( divide both sides by 4 )
a = 2
Thus
A = ![\left[\begin{array}{ccc}5&1\\3&2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%261%5C%5C3%262%5C%5C%5Cend%7Barray%7D%5Cright%5D)
A² - 7A + 7I
A² =
![\left[\begin{array}{ccc}5&1\\3&2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%261%5C%5C3%262%5C%5C%5Cend%7Barray%7D%5Cright%5D)
=
= ![\left[\begin{array}{ccc}28&7\\21&7\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D28%267%5C%5C21%267%5C%5C%5Cend%7Barray%7D%5Cright%5D)
7A= 7
=
= ![\left[\begin{array}{ccc}35&7\\21&14\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D35%267%5C%5C21%2614%5C%5C%5Cend%7Barray%7D%5Cright%5D)
7I = 7
= ![\left[\begin{array}{ccc}7&0\\0&7\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%260%5C%5C0%267%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Thus
-
+ ![\left[\begin{array}{ccc}7&0\\0&7\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%260%5C%5C0%267%5C%5C%5Cend%7Barray%7D%5Cright%5D)
=
= ![\left[\begin{array}{ccc}0&0\\0&0\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%260%5C%5C0%260%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Hence
7A² - 7A + 7I = 0
Hi there
First find the labor cost
$8/h * 80h = $640
labor cost as a percentage of revenue
$640 / $2000 = .32×100=32%
Hope it helps
Answer:
x=3
Step-by-step explanation:
3(x-2) + 6 = 3x - 2(3-x)
Using distributive property,
3x-6 + 6 = 3x - 6 + 2x
Subtract 3x from both the sides,
-6+6 = -6+2x
=> 2x-6 = 0
Add 6 on both the sides,
2x-6+6 = 0+6
2x = 6
Divide by 2 on both the sides,
x = 6/2 = 3
x = 3