Well a root means that y will equal zero when x is that root number. we are given the roots. So when x = 1/2 or -1/3 then y = 0.
it has to be quadratic with an x^2 since it has 2 roots. So we will write basic formula
y = (x + a) (x + b)
in this basic quadratic the opposite of a and b will be roots. this means negative a and negative b are roots or -a and -b are roots.
so we can fill in our roots for a and b if we want but.remember we.have to use the opposite of.our roots because we.use -a and -b.
so let's fill in our opposite.roots for.a and.b
y = (x + (-1/2)) (x + (-(-1/3)))
since I have two negatives in front of the 1/3 it becomes positive.. So
y = (x - 1/2)(x + 1/3)
this is an equation with those roots. You can multiply it out if necessary.
y = x^2 - 1/6x - 1/6
I think that's what it comes out to.
Answer:
r=3
Step-by-step explanation:
24π=2π(r^2+r)
Divide each side by 2 pi
24π/2π =2π/2π(r^2+r)
12 = r^2 +r
Subtract 12 from each side
12-12 = r^2 +r -12
0 = r^2 +r -12
Factor
What number multiply to -12 and add to 1
4*-3 = -12
4-3 = 1
0= (r+4) (r-3)
Using the zero product property
r+4 =0 r-3 =0
r+4-4 =0-4 r-3+3=0+3
r = -4 r = -3
Assuming r is the radius, r must be positive
r =3
Answer:
34.44 miles
Step-by-step explanation:
Distance covered bty the two trains :
Distance = speed * time
Time = 30 minutes = 0.5hr
Distance of train 1 = 64 * 0.5 = 32 miles
Distance of train 2 = 52 * 0.5 = 26 miles
Included Angle = 72°
Using cosine rule :
a² = b² + c² - 2bcCosA
Let Distance between the trains after 30 minutes = a
a^2 = 32^2 + 26^2 - 2(32)(26) * Cos(72)
a^2 = 1700 - 514.20427
a^2 = 1185.7957
a = sqrt(1185.7957)
a = 34.435
a = 34.44 miles
The sampling technique used is Simple Random Sampling option fourth would be the best choice.
<h3>What is simple random sampling?</h3>
Simple random sampling is a sampling strategy in which every item in the population has an equal probability of being chosen for the sample.
Simple random sampling selects a sample of objects at random from a population, with each item having an equal chance of being chosen.
Simple random sampling selects items for its sample from a table of random numbers or an electronic random number generator.
Thus, the sampling technique used is Simple Random Sampling option fourth would be the best choice.
Learn more about the simple random sampling here:
brainly.com/question/13219833
#SPJ1
Answer: 0.1797
Step-by-step explanation:
Given : 
Let x be the random variable that represents BMI for adults in this country.
We assume that BMI for adults in this country is normally distributed.
Then, z-score for x=25.6 ,
Using z-value table , we have
The probability that the person's BMI is more than 25.6 :
Hence, the probability that the person's BMI is more than 25.6 = 0.1797
Hence, the probability that the person's BMI is more than 25.6 = 0.1796
Hence, the probability of the stick's weight being 2.23 oz or greater = 0.0174
