Answer:
-1/2
Step-by-step explanation:
Tell me if you want a step by step.
Hope this helps. :)
Minimum is (5,0)
There is no maximum so maximum is N/A
Where the function is increasing is x>5
Function decreases where x<5
X=alice
b=barry
c=charlene
x=15 more than b
x=15+b
c=2 times of b
c=2b
all together
x+c+b
15+b+2b+b
15+4b
they have 15+4b or 15+4 times of barry
if we want in terms of x
x=15+b
x-15=b
15+4(b)
15+4(x-15)
15+4x-60
4x-45
they have 4x-45 together
<span> sin20 * sin40 * sin60 * sin80
since sin 60 = </span><span> √3/2
</span>√3/<span>2 (sin 20 * sin 40 * sin 80)
</span>√3/<span>2 (sin 20) [sin 40 * sin 80]
</span>
Using identity: <span>sin A sin B = (1/2) [ cos(A - B) - cos(A + B) ]
</span>√3/<span>2 (sin 20) (1 / 2) [cos 40 - cos 120]
</span>√3/4<span> (sin 20) [cos 40 + cos 60]
</span>
Since cos 60 = 1/2:
√3/4<span> (sin 20) [cos 40 + (1/2)]
</span>√3/4 (sin 20)(cos 40) + √3/8<span> (sin 20)
</span>
Using identity: <span> sin A cos B = 1/2 [ sin(A + B) + sin(A - B) ]
</span>√<span>3/4 (1 / 2) [sin 60 + sin (-20)] + </span>√3/8<span> (sin 20)
</span>
Since sin 60 = √3/<span>2
</span>√3/8 [√3/2 - sin 20] + √3/8 (sin 20)
3/16 - √3/8 sin 20 + √3/8<span> sin 20
</span>
Cancelling out the 2 terms:
3/16
Therefore, sin20 * sin40 * sin60 * <span>sin80 = 3/16</span>
(3, -10) and slope of 4
Write in point-slope form.
Formula:(y-y1)=m(x-x1)
(y-(-10))=4(x-3)
y+10=3x-12, distributive property
Solve for y
y=3x-22
