31. It gives you the equation f(x) = -2x + 4 and asks you to solve for f(12). To solve this you must replace x in the equation -2x + 4 with 12 like so:
-2(12) + 4
Remember that when solving this use your rules of PEMDAS. In this case you will first multiply -2 and 12 then add the product with 4
-24 + 4
f(12) = -20
33. Replace x in the equation x³ - x with 5 like so...
5³ - 5
Again, remember to use the rules of PEMDAS to solve this. First take the cube of 5 then subtract 5 from the answer
125 - 5
g(5) = 120
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer: Option D is correct.
Step-by-step explanation:
Since we have given that
focus = (-5,5)
and a directrix y= -1
Since, equation of parabola in this case will be
Now, here
So equation will be
So, option D is correct .
Answer:
6.84 ≤ x ≤ 37.39
Step-by-step explanation:
we have
-----> equation A
we know that
The company wants to keep its profits at or above $225,000,
so
-----> inequality B
Remember that P(x) is in thousands of dollars
Solve the system by graphing
using a graphing tool
The solution is the interval [6.78,39.22]
see the attached figure
therefore
A reasonable constraint for the model is
6.84 ≤ x ≤ 37.39
Answer: 117.5 seconds
Step-by-step explanation:
Given : It takes you 47 seconds to walk from the first (ground) floor of a building to the third floor.
Since from first floor to third , a person need to pass two levels of staircase.
We assume that the person walk at the same pace and the height of all floors are same.
The time taken to pass each level = (Time taken to pass 2 levels) ÷ 2
= (47 seconds) ÷ (2) = 23.5 seconds
Also, the from first floor to sixth floor , a person need to pass 5 levels of staircase.
Then, the time taken to pass each level = 5 x (Time taken to pass one level)
= 5 x 23.5 =117.5 seconds
Hence, it will take 117.5 seconds to walk from the first floor to the sixth floor.
