Answer:
68.2 miles per hour
Step-by-step explanation:
Speed limit = 110 kilometers per hour
1 kilometer = 0.62 miles
110 kilometers = x miles
Cross product
1*x = 0.62*110
x = 68.2 miles
Cesar should drive at 68.2 miles per hour to avoid a speeding ticket
110 kilometers per hour = 68.2 miles per hour
Step-by-step explanation:
1 .f(x)=
-x+1
f(-1)= (-1)-(-1)+1
f(-1)= 1+1+1
= 3
3.f(x)=-x+1
f( 1)=(1)-1+1
f( 1)=1-1+1
=1
5. f(x)=-x+1
f(3)=
-3+1
= 9-3+1
=7
2. g(x) = 5 - 3x
g( -8)=5-3(-8)
g( -8)=5+24
=29
4.g(x) = 5 - 3x
g(5)=5-3(5)
g(5)=5-15
=-10
6.g(x) = 5 - 3x
g(-3)=5-3(-3)
g(-3)=5+9
=14
Thus L.H.S = R.H.S that is 2/√3cosx + sinx = sec(Π/6-x) is proved
We have to prove that
2/√3cosx + sinx = sec(Π/6-x)
To prove this we will solve the right-hand side of the equation which is
R.H.S = sec(Π/6-x)
= 1/cos(Π/6-x)
[As secƟ = 1/cosƟ)
= 1/[cos Π/6cosx + sin Π/6sinx]
[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]
= 1/[√3/2cosx + 1/2sinx]
= 1/(√3cosx + sinx]/2
= 2/√3cosx + sinx
R.H.S = L.H.S
Hence 2/√3cosx + sinx = sec(Π/6-x) is proved
Learn more about trigonometry here : brainly.com/question/7331447
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Answer:
D. The graph of G(x) is the graph of F(x) flipped over the y-axis and
stretched vertically.
Step-by-step explanation:
since there is a negative, there must be a reflection. the reflection is over the y-axis because it is outside the x-value (-F(x) not F(-x))
the same goes for the vertical stretch. we know it is a vertical stretch because the 3 is outside the x-value (3F(x) not F(3x))
Answer:
9.625 gallons will be used by the painters in 3.5 hours
Step-by-step explanation:
2.75 gallons = 1 hr
X gallons = 3.5 hrs
X = (3.5 × 2.75)/1
X = 9.625 gallons
9.625 gallons will be used by the painters in 3.5 hours
