Answer:
f(x) = 3x² - 15x + 12
Step-by-step explanation:
Given f(x) has roots x = a and x = b, then
(x - a) and (x - b) are the factors
f(x) is then the product of the factors
f(x) = a(x - a)(x - b) ← where a is a multiplier
Given roots are x = 4 and x = 1, then
(x - 4) and (x - 1) are the factors
With a = 3, then
f(x) = 3(x - 4)(x - 1) ← expand factors using FOIL
= 3(x² - 5x + 4) ← distribute
= 3x² - 15x + 12
Answer: your answer is A) & D)
Step-by-step explanation: Hope this helps :)
Answer:
From $1600 to $3400.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 2500
Standard deviation = 300
What interval of dealer incentives would we expect approximately 99.7% of vehicles to fall within?
By the Empirical Rule, 99.7% fall within 3 standard deviations frow the mean. So
From 2500 - 3*300 = 1600 to 2500 + 3*300 = 3400.
Oh, I SEE what da pattern is! =D
You see, like in this problem:
2 + 5 = 12
They did 5 times 2 = 10, plus da 2 in da problem = 12.
Same with 3 + 6 = 21, 6 times 3 = 18, 18 plus da 3 given in da problem = 21.
Just like 1 + 4 = 5, 4 times 1 = 4, plus da 1 in da problem = 5.
SO,
with that strategy, 8 +11 = 96, because 8 times 11 = 88, plus da 8 given in da problem = 96.
I hope I helped! =D
Answer:
Step-by-step explanation:
One property of parallelogram is that opposite angles have the same measure, so we can write down:
Another property is that two adjacent angles are supplementary (meaning that they add up to 180 degrees). Thus, the following equations are true:
Solve the equations:
To check, add up all 4 angles and check if they sum up to 360 degrees:
And please ignore the fact that I cannot insert the degree sign :(
