2:5
4:10
8:20
16:40
Hope that helps:)
Answer:
(x+11) by (x+10)
Step-by-step explanation:
We know that Area = Length x width
Given: Area = x²+9x+20
Lets sort this out first
Area = x²+5x + 4x + 20
Area = x(x+5) + 4(x+5)
Area = (x+5) (x+4)
Therefore, it is concluded that:
Length 'l' = (x+5) feet
Width 'w' = (x+4) feet
if a 3-foot walkway is built around the fountain, we'll add 3 feet on both sides
Therefore,
Outer Length = (x+5+3+3) = (x+11) feet
Outer Width = (x+4+3+3) = (x+10) feet
Answer:
The fountain is (x+5) by (x+4).
dimensions of the outside border of the walkway are (x+11) by (x+10)
Answer:
y = 2x - 12
Step-by-step explanation:
To find the inverse of a function, you switch x and y and solve for y.
x = 1/2 y + 6 switch x and y
x - 6 = 1/2 y subtract 6 from both sides
2x - 12 = y multiply both sides by 2
<u>Given</u>:
The given expression is 
We need to determine the values for which the domain is restricted.
<u>Restricted values:</u>
Let us determine the values restricted from the domain.
To determine the restricted values from the domain, let us set the denominator the function not equal to zero.
Thus, we have;

Taking square root on both sides, we get;



Thus, the restricted value from the domain is
Hence, Option A is the correct answer.
To check how much Tim will pay to refill the gas tank using one of the on-site pumps, we can create a linear model. We know from our problem that the Renter's charge $4.50 per gallon plus a $5.00 refueling, so let

be the number of gallons and

the total cost.
We also know that the fuel tank in the car is half empty and t<span>he car has a 12-gallon fuel tank, so half tank is 6 gallons. Lets replace the number of gallons in our linear model with 6 to fin the total cost:
</span>



Now, to find how much Tim will pay if he decides to refuel the car on his own, we can also create a linear model.
Let

be the number of gallons and

the total cost. We know form our problem that <span>refueling the car on his own will cost $2.59 per gallon and the late fee charge is $32.
</span>

<span>We already know that half tank is 6 gallons, so
</span>



<span>
Comparing the result of our two linear models we can conclude that the correct answer is: </span><span>
b. It would be cheaper to return the car on time and pay the refueling costs.</span>