Step-by-step explanation:
2(3x-5)=5x-3
6x -10 =5x -3
x=7
Answer:
4
Step-by-step explanation:
9x=10x-4
x=4
Answer:
The number of employees in 8 years is 442
Step-by-step explanation:
Given:
Decreasing rate = 7%
Current number of employees = 790
To Find:
The number of employees after 8 years is this same rate continues =?
Solution:
Let the number of employees after 8 years be x
The current number of employees is:
---------------------------------(1)
since the decrase rate is 7% we use 0.07
So after 8 years , eq (1) can be rewritten as
x= 442.005
x= 442 (approx)
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.
Work is provided in the image attached.
Although you did not include units, I just used centimeters.
However, if there were no units, then just put your answer.
If you do not understand my work,
please ask me in the comments below.
