If you expand the square, you have
Simplify the right hand side:
Cancel the -3x appearing on both sides:
Multiply both sides by 4:
Consider the square root of both terms (using the doubles sign):
Answer:
the domain of f(x) is R ⇒ ] -∞ , ∞[
the domain of h(x) is x ≤ -5 ⇒ ] -∞ , -5]
Step-by-step explanation:
h(x) = \sqrt[8]{-2x-10}
-2x - 10 ≥ 0
-2x ≥ 10
x ≤ -5
a) The cost for 10 mile taxi ride is $18
b) The cost for m mile taxi ride is 1.5 m + 3
Step-by-step explanation:
Step 1 :
The fixed charges for the pick up = $3
Charges per mile = $1.50
Let s denote the total miles driven and t be the total cost for the trip
This can be represented by the equation
t = 3 + 1.5s
Step 2:
Distance traveled by Jonathan in his trip = 10 miles
So cost for riding 10 miles is
t = 3 + 1.5(10) = 3 + 15 = $18
The cost for 10 mile taxi ride is $18
Step 3 :
If the distance traveled is m miles, then substituting s = m in the above equation we get the cost as 1.5 m + 3
Step 4 :
Answer :
a) The cost for 10 mile taxi ride is $18
b) The cost for m mile taxi ride is 1.5 m + 3
Answer:
C. 390 Cubic units
5 * 6 * 13 = 390 cubic units
