Answer:
Zero real roots:
f(x) = x^2-x+1
f(x) = x^2+2x+3
One real root:
Two real roots:
f(x)=x^2+2x+1
f(x)=x^2-3x+2
Step-by-step explanation:
These were determined by using the quadratic formula.
15y - 9 <36.
Add 9 to each side.
15y- 9 (+9) < 36 + 9.
15y < 45.
y < 3.
Hope it helps! :)
Answer: 99.51%
Step-by-step explanation:
Given : A survey found that women's heights are normally distributed.
Population mean : 
Standard deviation: 
Minimum height = 4ft. 9 in.=
Maximum height = 6ft. 2 in.=
Let x be the random variable that represent the women's height.
z-score : 
For x=57, we have

For x=74, we have

Now, by using the standard normal distribution table, we have
The probability of women meeting the height requirement :-

Hence, the percentage of women meeting the height requirement = 99.51%
Answer:
The no. of variations in sign is 3
Step-by-step explanation:
Variation in sign occurs when every single time a negative product is produced by a pair of consecutive terms.
Therefore, the determination of the number of changes in sign in the given sequence is must.
Therefore, we take the product of the pair of consecutive terms as:
= - 3, variation in sign
= - 6, variation in sign
= 10, no sign variation
= - 20, variation in sign
= 24, no sign variation
Radius of circle= 4
a) circle circumference=2(pi)r
circumference=2(pi)4=25.13
P=2W+2L
p=2(5)+2(10)
P=30
b) area of circle=pi(r^2)=pi(16)=50.27
area of rectangle=L×W= 5×10= 50
c) I think you can figure it put