Answer:
(
,
) and (1, 8 )
Step-by-step explanation:
To find the points of intersection equate f(x) and g(x), that is
3x² + 5 = 4x + 4 ( subtract 4x + 4 from both sides )
3x² - 4x + 1 = 0 ← in standard form
(3x - 1)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
3x - 1 = 0 ⇒ 3x = 1 ⇒ x = 
x - 1 = 0 ⇒ x = 1
Substitute these values into either of the 2 functions for corresponding y- coordinates.
Substituting into g(x), then
g(1) = 4(1) + 4 = 4 + 4 = 8 ⇒ (1, 8 )
g(
) =
+ 4 =
⇒ (
,
)
Answer:
All whole numbers are integer
All natural numbers are rational numbers
Step-by-step explanation:
1. Find the equation.
2. Get two points.
3. Take the derivative of the parabola.
4. Use slope formula and set the slope of each tangent line to the point.
5.Equal the slope to (x,x^2)
6. Solve for x
8.Take the x-coordinates of tangency and plug each of the coordinates into y=x^2
9. Find the y-coordinates.
Answer:
18 pieces.
Step-by-step explanation:
1/8 of 24 is 3.
24 - 3 = 21, that's how much he has left after giving it to the first friend.
1/7 of 21 is also 3.
21 - 3 = 18, there's your answer.