The zeros of <span>y = 3x^2+3x means to solve for the values of x when y = 0
</span> <span>y = 3x²+ 3x =0
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<span>y = 3x²+3x = 0
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<span>3x²+3x = 0 Factorize
3x(x + 1) = 0
3x = 0, or (x + 1) = 0
From 3x = 0, x = 0/3 =0
From (x + 1) = 0, x = 0 -1 = -1.
Therefore the zeros are 0 and -1.
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Answer:
A
Step-by-step explanation:
just watch and go with the flow
Since this is an isosceles triangle (indicated by the two tick marks on the sides), we know that the base angles are congruent, and we therefore know that x = 30 degrees.
Since interior angles of a triangle always add to equal 180 degrees, we can find y using the following equation:
180 = 30 + 30 + y
180 = 60 + y
120 = y
We can further deduce that z also equals 24, since, as stated before, the two sides with the tick marks are congruent.
Answer:
x = 30 degrees
y = 120 degrees
z = 24
Increase from 491,675 in the year 2000 to 782,341 in 2010.
A. The solution for the exponential growth rate, B. Write the exponential growth function and C What should the population be in 2016.
A. 782341/491675 = 1.5911750648294096710225250419484, or a growth rate of 59% over 10 years. So:(1+k)^10 = 1.5911750648294096710225250419484ln (1+k)^10 = ln 1.591175064829409671022525041948410 ln(1+k) = ln 1.5911750648294096710225250419484ln(1+k) = ln 1.5911750648294096710225250419484/10 = 0.04644727777645335179835425806392e^0.04644727777645335179835425806392 = 1+kk = 1.0475428488243655419718940009655, or 4.75428488243655419718940009655% growth rate per year.
B. Population year t = 491675 x (1.0475)^(t-2000)
C. Population in 2016 = 491675 x (1.0475)^16 = 1033100.64 people
5:2 and 14:8 are not proportional, 3 to 4 and 24 to 18 are also not proportional, 5:6 and 2:8 are also not proportional, and 7 to 4 and 17.5 to 10 are also not proportional. 7 inches in 9 hours and 42 inches in 54 hours is proportional. 12 players from 21 teams and 15 players from 24 teams are NOT proportional.
