Answer:
a. x= 5
b. x=9
Step-by-step explanation:
a.
2x=10
10/2=5
x=5
b. 3x=27
27/3=9
x=9
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Answer:
The population will be double in 0.5 years.
Step-by-step explanation:
The population growth of a community is modeled by the equation
, where P (x) is population and x is time in years beginning with x = 0.
Therefore, the population at x = 0 will be = 
If the population becomes double then we can write the equation as

⇒ 
⇒ 
⇒ 2(x + 1) = 3 {Comparing the power terms}
⇒ x + 1 = 1.5
⇒ x = 0.5 years.
Therefore, the population will be double in 0.5 years. (Answer)
Answer:
the slope is 5
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Answer:
180-63= 117
Step-by-step explanation:
the lines are parallel so the opposite of x is 63. it is a straight line so it adds up to 180
Answer:
x = 0, π/4, π, 7π/4
Step-by-step explanation:
sin(2x) = √2 sin x
Use double angle formula.
2 sin x cos x = √2 sin x
Move everything to one side.
2 sin x cos x − √2 sin x = 0
Factor.
sin x (2 cos x − √2) = 0
Solve.
sin x = 0, cos x = ½√2
x = 0, π/4, π, 7π/4