Answer:
B
Step-by-step explanation:
The equation of line is y=-1/2 x+3 as it takes the form of y=mx+c
From this, the graph having gradient of -1/2 then the line will run from left to right. This eliminates options A and D
The pictures are not clear but we must ensure where the line crosses y intercept, the value of y should be 3 hence the only graph having these properties is option B.
An equation can be set up as: 45,750 = 50x + 800
x representing each installment
We can simplify this by subtracting 800 and dividing by 50:
44,950 = 50x
899 = x
Since you are writing an inequality, you will want to look for the sign you need to write in place of the equal sign. Since, in the context, it states "less then 60 dollars", you will need to use the < sign. Next, you will need to find the main value, 200, and put it on the left sign of the inequality sign. Since you pay the friend 12 dollars per week, you will want to subtract 12x from 200. Your equation should now be :
200 - 12x < 60
You would then solve. help any?
Answer:
![(-\frac{3}{2},-1)](https://tex.z-dn.net/?f=%28-%5Cfrac%7B3%7D%7B2%7D%2C-1%29)
Step-by-step explanation:
From the graph in the attachment Y has coordinates:Y(3,2)
The transformation rule for a dilation with a scale factor k about the origin is:
![(x,y)\to (kx,ky)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28kx%2Cky%29)
In this case we have ![k=-\frac{1}{2}](https://tex.z-dn.net/?f=k%3D-%5Cfrac%7B1%7D%7B2%7D)
We substitute the coordinates and
to get:
![Y(3,2)\to Y'(-\frac{1}{2}*3,-\frac{1}{2}*2)](https://tex.z-dn.net/?f=Y%283%2C2%29%5Cto%20Y%27%28-%5Cfrac%7B1%7D%7B2%7D%2A3%2C-%5Cfrac%7B1%7D%7B2%7D%2A2%29)
This simplifies to:
![Y(3,2)\to Y'(-\frac{3}{2},-1)](https://tex.z-dn.net/?f=Y%283%2C2%29%5Cto%20Y%27%28-%5Cfrac%7B3%7D%7B2%7D%2C-1%29)
The first choice is correct.
Adjustments to income<span> are expenses that reduce your total, or gross, </span>income<span>. You enter </span>income adjustments<span> directly onto Form 1040 of your tax return. The amount remaining </span>after<span> deducting these expenses is "</span>adjusted<span> gross </span>income<span>."</span>