Answer:
f(x)=3(x-4)(x+3)
Step-by-step explanation:
Quadratic function follows the f(x) = ax^2 +bx+c pattern
f(x)=3(x-4)(x+3) after multiplying out is equal to
f(x)=(3x-12)(x+3) = (3x^2+9x-12x-36) = (3x^2-3x-36)
f(x) = (3x^2-3x-36)
where
a = 3
b = -3
c = -36
<u><em>The third one is correct.</em></u> You cannot figure it out from the parent function, |x|, because they are all the same. As a result, you have to figure it out from the y-intercept. The y-intercept of a function most of the time is the <em>constant</em> of the function. The y-intercept here is <em>0.5</em>. Using this, you can find the corresponding graph. That would be the <u><em>third </em></u><u><em /></u><em /> option.
Hope I helped! Happy New Year!
The best prediction for the number of regular spectators that the program will have in 6 years is obtained with the following formula:
Pf = Po×(1-b) ^ t
Where:
Pf = final population
Po = initial population
b = decrease rate
t = timpo in years
So:
Pf = 223.00×(1-0.047) ^ 6
Pf = 167,056
The answer is the last option.
Answer: The probability of a randomly chosen customer to be a woman who spends at least $250 is 0.18 or 18%
Step-by-step explanation:
60% of the customers are women, and 30% of the women spend at least $250.
We want to find the probability for a randomly selected customer to be a woman that spends at least $250
first, the probability of a random customer to be a woman is 60% or 0.6 in decimal form.
And 30% of those 60% spend at least $250, so the probability the product of those two, this is:
P = 0.6*0.3 = 0.18
So the probability of a randomly chosen customer to be a woman who spends at least $250 is 0.18 or 18%