<span>y = -1/2x +2 1/2</span>
General equation;
y = mx + c
Calculating the slope;
Change in y/ (change in x) = gradient m
(2-1)/(1-3) = - 1/2
Replacing m gives;
y= -1/2x + c
Calculating the value of c
take point (1,2) above and replace y with 2 and x with 1
2=-1/2 *1 +c
c = 2 1/2
Equation then is
y = -1/2x +2 1/2
Answer:
The two given numbers are 10.5 units apart.
Step-by-step explanation:
Subtract the smaller from the larger. The larger number here is 6.2. Then we have
6.2 - (-4.3) = 6.2 + 4.3 = 10.5
The two given numbers are 10.5 units apart.
The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:
<span><span>x1 </span>= 0.42801</span>
<span><span>x2 </span>= −1.51414</span>
<span><span>x3 </span>= 3.08613</span>
x1 and x2 are in the desired interval [-2, 2]
f'(x) = 3x^2 - 4x - 4
so we have:
3x^2 - 4x - 4 = 0
<span>x = ( 4 +- </span><span>√(16 + 48) </span>)/6
x_1 = -4/6 = -0.66
x_ 2 = 2
According to Rolle's theorem, we have one point in between:
x1 = 0.42801 and x2 = −1.51414
where f'(x) = 0, and that is <span>x_1 = -0.66</span>
so we see that Rolle's theorem holds in our function.
Y= 4x
I think that’s the answer
