Answer:
Solution given:
y=-1/2 x²
for
f(x)=-1/2 x².
differentiating each term with respect to x
f'(x)=-x
when
x=-4
f'(-4)=4>0 increasing
when
x=-2
f'(-2)=2 >0 increasing
when x=0
f'(0)=0 stationary point.
other points are decreasing
so
largest interval of increasing is
A.X<-2
Answer:
225 students scored 65 or better and 75 students scored 88 or better.
Step-by-step explanation:
We are given that The five-number summary for the scores of 300 nursing students are given :
Minimum = 40
Median = 82
Maximum = 100
is the first quartile and is the median of the lower half of the data set. 25% of the numbers in the data set lie below and about 75% lie above .
is the third quartile and is the median of the upper half of the data set. 75% of the numbers in the data set lie below and about 25% lie above
i) .About how many students scored 65 or better?
Since we know that 75% lie above .
So, Number of students scored 65 or better = 
ii)About how many students scored 88 or better?
Since we know that 25% lie above
So, Number of students scored 88 or better = 
Hence 225 students scored 65 or better and 75 students scored 88 or better.
12+14+16=42 is your answe
Y=mx + b
m is the slope
The slope of line 1 is 1/2
The slope of line 2 is 2
Answer:
y = x² - 2x - 8
Step-by-step explanation:
Given
y = (x - 4)(x + 2)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x + 2) - 4(x + 2) ← distribute parenthesis
= x² + 2x - 4x - 8 ← collect like terms
= x² - 2x - 8 ← in standard form
