Answer:
Step-by-step explanation:
1) the common form of the point-slope form is y-y₁=s(x-x₁), where s - the slope, (x₁;y₁) - the point belongs to the required line;
2) if s=2.5; x₁= -5; y₁= -6, then the required equation is:
y+6=2/5(x+5).
Decrease because you taking something off of something
Answer:
addition
Step-by-step explanation:
The given expression is 
We want to determine the last operation performed when evaluating this expression for x=3.
We substitute to get:
Multiply within the parenthesis to get:
Subtract to get:
Evaluate the exponent to get:
4+4
Add to obtain:
8
Hence the final operation is addition
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.
Answer:
c.
Step-by-step explanation:
the most that can be factored out is -1.5,
-1.5 * w = -1.5w
-1.5 * -5 = 7.5
-1.5w + 7.5, so it's
-1.5(w-5)
