(fg)(x)=f(g(x))=4(g(x))²-5=4(x+3)²-5=4x²+24x+31
Answer:
Step-by-step explanation:
Triangle VWX is a right angle triangle.
From the given right angle triangle,
VX represents the hypotenuse of the right angle triangle.
With m∠X as the reference angle,
WX represents the adjacent side of the right angle triangle.
VW represents the opposite side of the right angle triangle.
To determine m∠X, we would apply
the tangent trigonometric ratio. It is expressed as
Tan θ = opposite side/adjacent side. Therefore,
Tan X = 2/1 = 1
m∠X = Tan^-1(1)
m∠X = 45°
Answer:
93
Step-by-step explanation:
The mean of a list of numbers is the sum of the numbers divided by the count of the numbers in the list.
In this case, representing the eighth score with x, the mean is (611+x)/8
Solving for the mean:
88=(611+x)/8
Multiply both sides by 8
8*88=611+x
704=611+x
704-611=x
x=93
Answer:
Petroleum = 15.32%
Drugs = 12.9%
Chemicals = 2.5%
Motor Vehicles = -56.5% (Negative)
Electrical = -18.8% (Negative)
Food = 3.7%
Step-by-step explanation
Here we have to use the formula to find the percentage of increase.
Percentage of increase = Increased amount / original amount * 100
Let's find the percentage of increase of each firm from 1966 and 1974
Petroleum = ((12.8 - 11.1) ÷ 11.1)) *100 = (1.7 ÷ 11.1)*100 = 15.32%
Drugs = ((12.2 - 10.8) ÷ 10.8)) *100 = (1.4 ÷ 10.8)*100 = 12.9%
Chemicals = ((8.2 - 8) ÷ 8)*100 = (0.2 ÷ 8)*100 = 2.5%
Motor Vehicles = ((2.7 - 6.2)÷6.2)*100 = (-3.5÷6.2)*100 = -56.5% (Negative)
Electrical = ((3.9 - 4.8)÷4.8)*100 = (-0.9÷4.8)*100 = -18.8% (Negative)
Food = ((2.8-2.7)÷2.7))*100 = (0.1 ÷2.7)*100 = 3.7%
Hope you will understand the concept.
Thank you.