Answer:
Now if the high and low monthly average temperatures satisfy the inequality, then the , monthly averages are always within 22 degrees of 43°F.
Step-by-step explanation:
The inequality describes the range of monthly average temperatures T in degrees Fahrenheit at a certain location.
The inequality expression is given as:
now this expression could also be expressed as:
Now if the high and low monthly average temperatures satisfy the inequality, then the , monthly averages are always within 22 degrees of 43°F.
( As the difference is 22 degrees to the left and right)
The amount of apples picked by the farmers is:
Farmer A=38%=0.38
Farmer B=22%=0.22
Farmer C=0.29
Farmer D=0.2
Thus the order from the least to greatest by th number of apples they pick will be:
D,B,C,A
that is:
Farmer D, Farmer B, Farmer C, Farmer A
Answer:
Part 1) The vertex is the point (-83,-9)
Part 2) The focus is the point (-82.75,-9)
Part 3) The directrix is 
Step-by-step explanation:
step 1
Find the vertex
we know that
The equation of a horizontal parabola in the standard form is equal to
where
p≠ 0.
(h,k) is the vertex
(h + p, k) is the focus
x=h-p is the directrix
In this problem we have
Convert to standard form
so
This is a horizontal parabola open to the right
(h,k) is the point (-83,-9)
so
The vertex is the point (-83,-9)
step 2
we have
<em>Find the value of p</em>
<em>Find the focus</em>
(h + p, k) is the focus
substitute
(-83+1/4,-9)
The focus is the point (-82.75,-9)
step 3
Find the directrix
The directrix of a horizontal parabola is
substitute
Answer: x=68/11 and y=-72/11
Steps:
2(x+4y=-20)
2x+8y=-40
2x - 3y = 32
- 2x + 8y = -40
-11y=72
y=-72/11
x + 4(-72/11) = -20
x - 288/11 = -20
x=68/11
