Answer: A
2x^2+2x-8 is the quotient when x+3 divides P(x)
=> P(x) = (2x² + 2x -8)(x + 3) = 2(x² + x - 4)(x + 3) = (x² + x - 4) (2x + 6)
=> the quotient when 2x+6 divides p(x) is x² + x - 4
Step-by-step explanation:
For 356 ticket, each ticket is $80, so all of those tickets cost 356 × 80 = $28,480.
For 275 ticket, each ticket is $60, so all of those tickets cost 275 × 60 = $16,500.
For 369 ticket, each ticket is $45, so all of those tickets cost 369 × 45 = $16,605.
For all of the tickets the box office took in you have to do:
28,480 + 16,500 + 16,605 = 61,585
<u>The answer is $61,585.</u>
Answer: Therefore the demand function can be given as;
q = -3/2p + 1590
Step-by-step explanation:
Given that at;
$900 the monthly demand is 240. ....1
$850 the monthly demand is 315. ....2
Since, the function is a linear function. The demand function would be of the form;
q = mp + c ....5
Where q = quantity demanded
p = price m = slope and c = intercept
Substituting conditions 1 and 2 to the equation.
240 = 900m + c. ...3
315 = 850m+ c ...4
Subtracting eqn 4 from 3
-75 = 50m
m = -75/50
m = -3/2
Substituting m = -3/2 into equation 3;
We have,
240= -3/2(900) + c
c = 240 + 3/2(900)
c = 1590
Therefore the demand function can be given as; substituting m and c into equation 5, we have;
q = -3/2p + 1590
Answer:
One of the answers should be b or c
Step-by-step explanation:
SORRY IF I DID NOT DO IT RIGHT
3 sin ( 2 x ) = 3 cos x
3 · 2 sin x cos x - 3 cos x = 0
6 sin x cos x - 3 cos x = 0 /: 3
2 sin x cos x - cos x = 0
cos x ( 2 sin x - 1 )
cos x = 0,
x 1 = π/2, x 2 = 3π/2;
2 sin x - 1 = 0
2 sin x = 1
sin x = 1/2
x 3 = π/6, x 4 = 5π/6.
