1 - j
= -----
1 - j^2
j^2 = -1
so the answer is ( 1 - j) / 1 - (-1) = (1-. j ) / 2
= 0.5 - 0.5j
Answer:
y ≤ (4 - 3x)
Step-by-step explanation:
We have to find the equation of the line which divides the coordinate plane into two different zones.
The line passes through the points (0,4) and (1,1) which is shown on the graph.
So, the equation of the straight line will be
⇒
⇒ y - 4 = -3x
⇒ y = 4 - 3x
Now, the dotted zone shows that y values are equal or less than the value obtained from (4 - 3x).
Therefore, the required inequality is y ≤ (4 - 3x) (Answer)
% is read as percent, and cent means 100.
In this case 6% is 6 out of 100 or 6/100.
so 6%*350=350*6/100=21
The second case its 25%*80=25/100*80=20
The third case, its 35*15/100=5.25
we are given
The total cost after tax to repair Kimber's cracked phone screen is represented by 0.04(30h) + 30h
where
h represents the number of hours it takes to repair kimber's phone
so,
we know that
tax will always be some percentage of the entire cost
Here , we have 0.04(30h) ...which means 0.04 of 30h
and 30h is already given
so, 0.04(30h) is 4% of 30h
so, this term must be tax
the expression represents the amount of tax she must pay is 0.04(30h).......Answer
Let us take 'a' in the place of 'y' so the equation becomes
(y+x) (ax+b)
Step-by-step explanation:
<u>Step 1:</u>
(a + x) (ax + b)
<u>Step 2: Proof</u>
Checking polynomial identity.
(ax+b )(x+a) = FOIL
(ax+b)(x+a)
ax^2+a^2x is the First Term in the FOIL
ax^2 + a^2x + bx + ab
(ax+b)(x+a)+bx+ab is the Second Term in the FOIL
Add both expressions together from First and Second Term
= ax^2 + a^2x + bx + ab
<u>Step 3: Proof
</u>
(ax+b)(x+a) = ax^2 + a^2x + bx + ab
Identity is Found
.
Trying with numbers now
(ax+b)(x+a) = ax^2 + a^2x + bx + ab
((2*5)+8)(5+2) =(2*5^2)+(2^2*5)+(8*5)+(2*8)
((10)+8)(7) =(2*25)+(4*5)+(40)+(16)
(18)(7) =(50)+(20)+(56)
126 =126