First translate words to symbols
The word is translates to =
The word multiplied translates to *
The letter n is a variable, do nothing with it
90=123n
P.S. If its multiplication and there is something to multiply with a variable
Dont do 123 * n or n * 123
Write it 123n (its the proper way)
Answer:
x = 8,49 ft
y = 4,24 ft
Step-by-step explanation:
Let x be the longer side of rectangle and y the shorter
Area of rectangle = 36 ft² 36 = x* y ⇒ y =36/x
Perimeter of rectangle:
P = 2x + 2y for convinience we will write it as P = ( 2x + y ) + y
C(x,y) = 1 * ( 2x + y ) + 3* y
The cost equation as function of x is:
C(x) = 2x + 36/x + 108/x
C(x) = 2x + 144/x
Taking derivatives on both sides of the equation
C´(x) = 2 - 144/x²
C´(x) = 0 2 - 144/x² = 0 ⇒ 2x² -144 = 0 ⇒ x² = 72
x = 8,49 ft y = 36/8.49 y = 4,24 ft
How can we be sure that value will give us a minimun
We get second derivative
C´(x) = 2 - 144/x² ⇒C´´(x) = 2x (144)/ x⁴
so C´´(x) > 0
condition for a minimum
The correct answer would be A! (:
Answer:
the slope represents the cost for each hour it takes to repair the machine.Step-by-step Answer:
We are given that the cost of a service call to fix a washing machine can be expressed by the linear function
Where
y=Total cost of a service to fix the machine.
x=Number of hours takes to fix the machine
We have to find that slope in this function what represents.
General equation of line is given by
Where m=Slope of line
c=y- intercept
Comparing the general equation with the given function
We get m=45,c=35
m=45 represents the cost for each hour it takes to repair the machine because when number of hours multiplied by 45 then we get total cost of x hours.
Hence, the slope represents the cost for each hour it takes to repair the machine.
Answer:
c > -5
Step-by-step explanation:
-5c + 2 < 27
- 2 - 2 Subtract 2 from both sides
-5c < 25 Divide both sides by -5 and flip the sign
c > -5
I graphed the inequality on the graph below.
If this answer is correct, please make me Brainliest!
