Answer:
14
Step-by-step explanation:
note that (f - g) = f(x) - g(x)
f(x) - g(x) = 3x² + 1 - (1 - x) = 3x² + 1 - 1 + x = 3x² + x
To evaluate (f - g)(2) substitute x = 2 into f(x) - g(x)
(f - g)(2) = 3(2)² + 2 = (3 × 4) + 2 = 12 + 2 = 14
Answer:
No.
Step-by-step explanation:
In order to complete the square, you need to have the x values together, not the constant.
To complete the square <em>correctly </em>you would need to have x² - 20x = -6 and continue from there; divide 20 by 2 and square the result to get (x - 10)² = 96.
Answer: She bought 6 $5 magazines and 5 $4 magazines
Step-by-step explanation:
Answer:
c = 6√2
Step-by-step explanation:
The following data were obtained from the question:
Angle θ = 30°
Opposite = 3√2
Hypothenus = c
The value of 'c' can be obtained by using the sine ratio as shown below:
Sine θ = Opposite /Hypothenus
Sine 30° = 3√2/c
Cross multiply
c × sine 30° = 3√2
Divide both side by sine 30°
c = 3√2 / sine 30°
But: sine 30° = 1/2
c = 3√2 / sine 30°
c = 3√2 ÷ 1/2
c = 3√2 × 2
c = 6√2 yard
Therefore, the value of 'c' is 6√2 yard.