Answer:
(f - g)(x) = -x² + 3x + 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Function Notation
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x + 5
g(x) = x²
(f - g)(x) is f(x) - g(x)
<u>Step 2: Find (f - g)(x)</u>
- Substitute: (f - g)(x) = 3x + 5 - x²
- Rewrite: (f - g)(x) = -x² + 3x + 5
Answer:
Yes
Step-by-step explanation:
A right angle means that the lines will create an L or X or T when they intersect. This is exactly the definition of perpendicular, that the shapes will intersect and create at least one right angle.
Answer:
360 miles
Step-by-step explanation:
When the second car catches up with the first car they will have travelled the same distance which we call x miles.
Speed = distance / time
For first car 60 = x / t where t = time taken
giving x = 60t
for second car 90 = x / (t - 2)
giving x = 90t - 180
So equating these 2 equations
60t = 90t - 180
30t = 180
t = 6 hours
So x the distance = 60t = 360 miles answer
Answer:
The correct answer is 52 squats.
Step-by-step explanation:
An exercise routine requires 24 crunches for every 16 squats.
Therefore the routine would require 1 crunch for every 
squats.
And by the use of unitary method, the routine would require 78 crunches for every × 78 squats = 52 squats.
Thus for every 78 crunches attempted, the exercise routine would requires 52 squats to be done.
Answer:
No, the rock will not hit the water in 2 second but it will hit the water in t ≅ 2.17 second
Step-by-step explanation:
Let the distance be s in feet. i.e, 
where t is in second.
You drop a rock from a bridge that is 75 feet above the water.
Use the expression 
to solve for t:
Given: s =75 feet
then, substitute in the above expression:
or we can write it as:
or
⇒ t = 2.16506351 or t ≅2.17 second
Therefore, the rock hit the water in t≅2.17 second
