Answer:
Independent: miles travelled
Dependent: gallons of gas
Gas remaining after 68 miles: 7.2 gallons
Step-by-step explanation:
Looking at the table, it appears that after every 17 miles of driving, 1 gallon of gas is used.
- 68 miles would be the next 17 miles after driving 51 miles
- this means another gallon of gas would be used, so 8.2 - 1 = 7.2 gallons left
The <u>dependent variable</u> is the variable that depends on that of another
- In this case, the dependent variable is the gallons of gas, because in order for the car to drive, it needs gas
The <u>independent variable</u> is the variable that does not depend on that of another
- In this case, the independent variable is the miles travelled
Answer:
30.29
Step-by-step explanation:
2.3^2 is 5.29 and 5^2 is 25. Both values added together is 30.29.
Answer:
3rd option
Step-by-step explanation:
substitute x = f(x) into g(x)
g(f(x))
= g(x² + 2)
= 4(x² + 2) - 1
= 4x² + 8 - 1
= 4x² + 7
Answer: x only can have complex values, not real values.
x = -1/4 - 1/4i and x = -1/4 + 1/4 i
Explanation:
Finding the possible values of x in the expression given is solving the quadratic equation.
8x² + 4x = - 1
Rearrange the terms:
8 (x² + x/2) = - 1 ← common factor 8 in the left side
x² + x/2 = - 1/8 ← division property
x² + x/2 + 1/16 = - 1/8 + 1/16 ← addition property
(x + 1/4)² = -1/8 + 1/16 ← -factor the perfect square trinomial in the left side
(x + 1/4)² = - 1/16 ← add the fractions in the right side
x + 1/4 = (+/-) √ (-1/16) ← square roots on both sides
x + 1/4 = (+/-) (1/4)i ← complex solution
x = - 1/4 +/- 1/4i
x = - 1/4 - 1/4i and x = - 1/4 + 1/4 i ← answer
