Lightly draw a vertical line at -3 (x= -3 is the divider) on the left side graph x + 1, on the right side graph 1/2x + 2.
because these equations don't match up at the -3 coordinate, you have to draw an open (not colored in) circle at the beginning at the 1/2x-2 equation
Answer:
28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.
Step-by-step explanation:
We can solve this question by a system of equations.
I am going to say that:
x is the number of short-sleeved shirts sold.
y is the number of long-sleeved shirts sold.
A department store sold 51 shirts one day.
This means that ![x + y = 51](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2051)
All short-sleeved shirts cost $14.00 each and all long-sleeved shirts cost $23.00 each. Total receipts for the day were $921.00.
This means that
![14x + 23y = 921](https://tex.z-dn.net/?f=14x%20%2B%2023y%20%3D%20921)
How many of each kind of shirt were sold?
We have to solve the system of equations.
![x + y = 51](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2051)
![x = 51 - y](https://tex.z-dn.net/?f=x%20%3D%2051%20-%20y)
--------------
![14x + 23y = 921](https://tex.z-dn.net/?f=14x%20%2B%2023y%20%3D%20921)
![14(51 - y) + 23y = 921](https://tex.z-dn.net/?f=14%2851%20-%20y%29%20%2B%2023y%20%3D%20921)
![714 - 14y + 23y = 921](https://tex.z-dn.net/?f=714%20-%2014y%20%2B%2023y%20%3D%20921)
![9y = 207](https://tex.z-dn.net/?f=9y%20%3D%20207)
![y = \frac{207}{9}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B207%7D%7B9%7D)
![y = 23](https://tex.z-dn.net/?f=y%20%3D%2023)
--------
![x = 51 - y = 51 - 23 = 28](https://tex.z-dn.net/?f=x%20%3D%2051%20-%20y%20%3D%2051%20-%2023%20%3D%2028)
28 short-sleeved shirts were sold and 23 long-sleeved shirts were sold.
<span>B. sam forgot to multiply.
The correct answer is
</span> x^2*y=(7^<span>2)*(9)=49*9=441 </span>
Answer:
(y - 4)(y + 4)
Step-by-step explanation:
y² - 16 ← is a difference of squares
Since y² and 16 are both squares separated by a difference , that is minus
A difference of squares factors as
y² - 16
= y² - 4²
= (y - 4)(y + 4)