Answer:
d
Step-by-step explanation:
f(3)=5(3)²-7(4(3)+3))
=45-105
= -60
Answer:
Neither of the two advertising options meet the goal.
Step-by-step explanation:
Every $4,000 spent on cable TV will reach 160 fans.
Therefore, the goal of reaching 200000 fans will be fulfilled by
dollars i.e. $5 million which is greater than the budget of $3 million.
Now, every $2,750 spent on radio ads will reach 125 fans.
Therefore, the goal of reaching 200000 fans will be fulfilled by
dollars i.e. $4.5 million which is again greater than the budget of $3 million.
Therefore, neither of the two advertising options meet the goal. (Answer)
Answer:
657 pounds
Step-by-step explanation:
Given
Represent the amount of fertilizer with x and the yield with y.
So, we have:


Required:
Determine the yield (y) when fertilizer (x) is 73ft^3
Using linear interpolation, we have:

Substitute the x and y values using
and
;
We have:




Open bracket



To solve for y when x = 73.
We simply substitute 73 for x



<em>Hence, the yield for 73 cubic feet is 657 pounds</em>
For a problem like this, it is best to convert all numbers to a similar form making them easier to compare. I am going to convert them all to decimals, although converting them all to fractions can also work.
-0.4 is already a decimal, so it needs no conversion; the same goes for 0.48.
4/8 is equal to 1/2, which equals 0.5 as a decimal. -4/8 is the same as -1/2, which is -0.5.
Therefore, we are left with the following converted numbers:
-0.4; 0.48; 0.5; -0.5
Now to simply order them from least to greatest, we will start with the two negative numbers because they are both below zero. When comparing negative numbers, the "bigger" one is actually smaller because it is farther below zero. Therefore, -0.5 is the smallest, followed by -0.4.
Now for the last two, 0.5, or 0.50, is 0.02 bigger than 0.48. Therefore, 0.48 is the second largest number and 0.5 is the largest.
This is the order now:
-0.5 (smallest)
-0.4 (2nd smallest)
0.48 (2nd largest)
0.5 (largest)
Now they simply need to be converted back to their original form (if applicable):
-0.5 = -4/8
-0.4 = -0.4
0.48 = 0.48
0.5 = 4/8
This leaves us with the answer:
-4/8; -0.4; 0.48; 4/8