Answer:
$1260
Step-by-step explanation:
70/100 × $1800 = $1260
945 rounded to the nearest ten is 950
<h2><u>
Answer:</u></h2>
x = 3
y = -8
<h2><u>
Step-by-step explanation:</u></h2>
x + y = -5
x - y = 11
Since the y's will cancel out, we don't need to modify the two equations in any way.
Now, just add the two equations.
x + x = 2x
y + (-y) = 0
-5 + 11 = 6
2x = 6
Divide by 2.
x = 3
To find y, plug 3 in as "x" in one of the two equations.
3 + y = -5
y = -8
Answer:
240 = 2 x 2 x 2 x 2 x 3 x 5 or 2^4x3x5
Step-by-step explanation:
240
/ \
2 120 (240 = 2 x 120)
/ \
2 60 (120 = 2 x 60)
/ \
2 30 (60 = 30 x 2)
/ \
2 15 (30 = 2 x 15)
/ \
3 5
Answer:
Option B
Step-by-step explanation:
Complex roots occur as conjugate pairs so the third root is -3 - i ( note that the sign changes from + to -).
So in factor form we have:-
(x - 2)(x - (-3 + i))(x - (-3 - i)) = 0 Let's expand the last 2 factors first:-
(x - (-3 + i))(x - (-3 - i))
= (x + 3 - i)(x + 3 + i)
= x^2 + 3x +ix + 3x + 9 + 3i - ix - 3i - i^2
= x^2 + 6x + 9 - (-1)
= x^2 + 6x + 10
Now multiplying by (x - 2):-
(x - 2)(x^2 + 6x + 10) = 0
x^3 + 6x^2 + 10x - 2x^2 - 12x - 20 = 0
x^3 + 4x^2 - 2x - 20 = 0 (answer)
Option B
