Answer:
the solution to: f(x)=g(x)
is X=4
Explanation:
f(x)=g(x) is X=4 because the curves of f(x) and g(x) intersect at a point which has the abscissa 4.
You need to clarify whether you need the x or the y or both
3.3
-1/8 - 55/8 = -56/8 = -7
3.4
(-4x7)/10 = -28/10 = -14/5
3.5
-19/2 ÷ 38/7 <=> -19/2 x 7/38 and simplify = -7/4
Answer:
6 hours
Step-by-step explanation:
Let
x----> the number of hours worked at the donut shop
y----> the number of hours worked at the school bookstore
we know that
x+y=20
x=20-y -----> equation A
10.25x+8.75y=196 -----> equation B
Substitute equation A in equation B and solve for y
10.25(20-y)+8.75y=196
205-10.25y+8.75y=196
10.25y-8.75y=205-196
1.5y=9
y=6 hours at the school bookstore
Answer:
We have to prove
sin(α+β)-sin(α-β)=2 cos α sin β
We will take the left hand side to prove it equal to right hand side
So,
=sin(α+β)-sin(α-β) Eqn 1
We will use the following identities:
sin(α+β)=sin α cos β+cos α sin β
and
sin(α-β)=sin α cos β-cos α sin β
Putting the identities in eqn 1
=sin(α+β)-sin(α-β)
=[ sin α cos β+cos α sin β ]-[sin α cos β-cos α sin β ]
=sin α cos β+cos α sin β- sinα cos β+cos α sin β
sinα cosβ will be cancelled.
=cos α sin β+ cos α sin β
=2 cos α sin β
Hence,
sin(α+β)-sin(α-β)=2 cos α sin β
