Answer:
1/3
Step-by-step explanation:
(-5,4)=(x1,y1)
(1,6)=(x2,y2)
Slope(m)=y2-y1
_____
x2-x1
=6-4
____
1+5
=2÷6
=1/3
ANSWER
EXPLANATION
Part a)
Eliminating the parameter:
The parametric equation is
From the first equation we make t the subject to get;
We put it into the second equation.
We differentiate to get;
At x=5,
The slope of the tangent is 2.
The equation of the tangent through
(5,6) is given by
Without eliminating the parameter,
At x=5,
This implies that,
The slope of the tangent is 2.
The equation of the tangent through
(5,6) is given by
Answer:
(A) h(x) = 1/4x -2
Step-by-step explanation:
Given: f(x)=4x+8
Rewrite with y: y=4x+8
Switch x and y: x=4y+8
Solve for y: x-8=4y
(x-8)/4=y
1/4x-2=y
y=1/4x-2
This means that h(x) = 1/4x -2 is the correct answer
The name of this property is symetric property of equality
f(x) = 2x - 1
To obtain a function we require values of x for x = 3, 4, 5 , 6, .....
The output appears to increase in steps of 2
3 → 5
4 → 7
5 → 9
6 → 11
Looking at the consecutive values of y we should see that these are twice the corresponding value of x subtract 1
f(x) = 2x - 1 ← is a possible function
checking the values for x in the input
f(3) =(2 × 3 ) - 1 = 5
f(4) = (2 × 4 ) - 1 = 7
f(6) = (2 × 6 ) - 1 = 11
f(11) = (2 × 11 ) - 1 = 21
