Answer:
B. -4
Step-by-step explanation:
We want to find x such that f(x)=18.
We need to therefore solve 9x+54=18 forx.
9x+54=18
Divide both sides by 9:
(9x+54)/9=18/9
9x/9+54/9=18/9
Simplify:
x+6=2
Subtract 6 on both sides:
x=2-6
Simplify
x=-4.
So f(-4) should have value 18.
Let's check.
f(x)=9x+54
f(-4)=9(-4)+54
f(-4)=-36+54
f(-4)=18
So the answer is B.
Answer:
(1,-5)
Step-by-step explanation:
The given system of inequalities are;

and

The point that is a solution will satisfy the two inequalities.
Checking for (1,-5)
and 
: True
: True
This point lies in the solution region.
Checking for (1,5)
and 
: False
: False
This point does not lie in the solution region.
Checking for (5,1)
and 
: False
: True
This point does not lie in the solution region.
Checking for (-1,5)
and 
: True
: False
This point does not lie in the solution region.
Step-by-step explanation:
cos θ = 3 / AB
When θ = 28°:
cos 28° = 3 / AB
AB = 3 / cos 28°
AB ≈ 3.4
When AB = 5.2:
cos θ = 3 / 5.2
θ = cos⁻¹(3 / 5.2)
θ ≈ 54.8°
Answer:
Step-by-step explanation:
2081.25 ; 2312.50 ; 2543.75 ; ..... 7500
a= 2081.25
d = 231.25


2081.25 + (n-1) * 231.25 = 7500
(n -1) *231.25 = 7500 - 2081.25
231.25n - 231.25 = 5418.75
231.25n = 5418.75 + 231.25
231.25n = 5650
n = 5650/231.25 = 565000/23125
n = 904/37
n = 24 years 157 days
The length of the Lettuce is 16 and the width is 24
The length of the Carrots is 24 and the width is 24
The length of the Radishes is 22 and the width is 14
The length of the Celery is 22 and the width is 10