Answer:
B -9/7
Step-by-step explanation:
We need to find a number between
-3 1/3 < x < -4/5
We want a number smaller than between -3 1/3 and -.8
Looking at the choices
-9/7 = - (7/7 + 2/7) = -(1+2/7) = -1 2/7
That is between -3 1/3 and -4/5
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where
m=slope of line
(x0,y0) is a point through which the line passes.
We know that the line passes through A(3,-6), B(1,2)
All options have a slope of -4, so that should not be a problem. In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.
So we can check which line passes through which point:
a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3) means that line passes through A(3,-6) => ok
b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
****** this equation is not the line passing through A & B *****
c. y=-4x+6 subtract 2 from both sides (to make the y-coordinate 2)
y-2 = -4x+4, rearrange
y-2 = -4(x-1)
which means that it passes through B(1,2), so ok
d. y-2=-4(x-1)
this is the same as the previous equation, so it passes through B(1,2),
this equation is ok.
Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
Step 2 , supposed to be 4^-15 instead of 4^-2. Always multiply the exponents together.
Answer: Chris made a mistake in step 2 -C
Answer:
Step-by-step explanation:
If the Number of Sales of x units, N(x) is defined by the function:
Next, we text the critical points and the end points of the interval to see where the derivative is increasing.
Thus, the rate of change of sales 
is increasing in the interval on 10≤x≤40.
