Just multiply ($1400/year) by (11 years). Answer: $15400.
<span>3-2(Cosx)^2 - 3Sinx = 0.
Recall (Sinx)^2 + (Cosx)^2 = 1.
Therefore (Cosx)^2 = 1 - (Sinx)^2
Substitute this into the question above.
</span><span>3-2(Cosx)^2 - 3Sinx = 0
3 - 2(1 - (Sinx)^2) - 3Sinx = 0 Expand
3 - 2 + 2(Sinx)^2 - </span><span><span>3Sinx = 0</span>
1 + 2(</span><span>Sinx)^2 - 3Sinx = 0 Rearrange
2(Sinx)^2 </span><span><span>- 3Sinx + </span>1 = 0
Let p = Sinx
2p^2 - 3p + 1 = 0 Factorise the quadratic expression
2p^2 - p - 2p +1 = 0
p(2p -1) - 1(2p -1) = 0
(2p-1)(p -1) = 0
Therefore 2p-1=0 or (p-1) = 0
2p=0+1 or (p-1) = 0
2p=1 or p = 0 +1.
p=1/2 or p = 1 Recall p = Sinx
Therefore Sinx = 1/2 or 1.
For 0<u><</u>x<u><</u>360
Sinx =1/2, x = Sin inverse (1/2) , x = 30,
(180-30)- 2nd Quadrant = 150 deg
Sinx = 1, x = Sin inverse (1) , x = 90
Therefore x = 30,90 & 150 degrees.
Cheers.</span>
Answer:
vertex = (- 1, - 4 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
y = x² + 2x - 3 ← is in standard form
with a = 1, b = 2 , then
x = - 
= - 1
Substitute x = - 1 into the equation for corresponding value of y
y = (- 1)² + 2(- 1) - 3 = 1 - 2 - 3 = - 4
vertex = (- 1, - 4 )
Answer: 56/33
Step-by-step explanation:
<em>Answer:</em>
<em>38%</em>
<em>Step-by-step explanation:</em>
<em>60 percent girls</em>
<em>50 percent of girls walk</em>
<em>50 percent take the bus</em>
<em></em>
<em>40 percent boys</em>
<em>20 percent walk</em>
<em>80 percent take the bus</em>
<em></em>
<em>If there are 100 people in the school</em>
<em>60 girls</em>
<em>30 girls take the bus</em>
<em></em>
<em>40 boys</em>
<em>8 boys walk</em>
<em></em>
<em>8+30=38</em>
<em>38% of the people walk to school</em>
