Consider the contrapositive of the statement you want to prove.
The contrapositive of the logical statement
<em>p</em> ⇒ <em>q</em>
is
¬<em>q</em> ⇒ ¬<em>p</em>
In this case, the contrapositive claims that
"If there are no scalars <em>α</em> and <em>β</em> such that <em>c</em> = <em>α</em><em>a</em> + <em>β</em><em>b</em>, then <em>a₁b₂</em> - <em>a₂b₁</em> = 0."
The first equation is captured by a system of linear equations,
or in matrix form,
If this system has no solution, then the coefficient matrix on the right side must be singular and its determinant would be
and this is what we wanted to prove. QED
5x5,150 =$<span>25,750 = Answer</span>
Deductions per dependent $5,150 times 5 in 2010
Answer:
-2(16xy-10y+7)
Step-by-step explanation:
-2(16xy-10y-7)= -2×16xy-2(-10y)-2×7
-2(16xy-10y+7)= -32xy+20y-14
For this case we must find 35% of 280.
Kerrie gets 10% and then 25%. So:
10% of 280:
280 ------------> 100%
x -----------------> 10%
Where "x" represents the amount given by 10% of 280.
Thus, 10% of 280 is 28.
Now, we find 25% of 280:
280 ------------> 100%
x -----------------> 25%
Where "x" represents the amount given by 25% of 280.
Thus, 25% of 280 is 70.
So we have that 35% of 280 is given by:
So, Kerrie's solution is correct.
Answer:
Option A
The different expressions that represent the price of the item after tax will be p + 6/100p and p + 0.06p.
<h3>How to illustrate the expression?</h3>
The first expression will be:
= p + (6/100 × p)
= p + 6/100p
The second expression will be:
= p + (6% × p)
= p + 0.06p
It should be noted that both expressions are equal.
Learn more about tax on:
brainly.com/question/25783927
#SPJ1