Step-by-step explanation:
2sin(x)cos(x) - sin(x) + 2cos(x)-1= 0
<=> sinx( 2cosx -1) + ( 2cosx -1) =0
<=> (sinx +1) + ( 2cosx-1)=0
<=> sinx=-1 or cosx= 1/2
+) sinx=1 => x= pi/2 + k×2pi
+)cosx=1/2 => x= pi/3+ k×2pi or x=-pi/3 + k×2pi
x€ [0,2pi] => x= pi/2, pi/3.
Answer:
1.78
Step-by-step explanation:
To solve for x we need to cross multiply it
We have = sign inbetween the fractions so we cross multiply it
9*x = 2* 8
9x = 16
Now we divide by 9 on both sides
so x= 1.7777777778
When we round to two decimal places then
x= 1.78
First because it's a broken line we know it's an inequality.
next we find the slope we can take points (0,4) and (2,0) thus (y2-y1)÷(x2-x1)
substituting any value of x for either x1 or x2 and any value of y for y1 and y2 we can get
slope is -2
so now we can take either points to find the equation by the formula
y-yo=m (x-xo) where m is slope
after substitution we can get
y-4=-2 (x-0)
y=-2x+4
the answer is b because the piggy bank originally contained $25 and the person adds $1.50 per day.. so: 25+1.5d
