the width of Yun's area model is 7x units or ( x-2 )units .
<u>Step-by-step explanation:</u>
Here we have , Yun was trying to factor 7x^2-14x. He found that the greatest common factor of these terms was 7x and made an area model: What is the width of Yun's area model. Let's find out:
We know that area of rectangle :
⇒
.........(1)
Now , According to question we have
⇒ 
⇒ 
Comparing this equation to equation (1) we get that :
⇒
or , 
Therefore , the width of Yun's area model is 7x units or ( x-2 )units .
Answer:
-2
this eq. can be simplified to -
y = 5 - 2x
we know that the coefficient of x is the slope
therefore , -2 is the slope
Answer:
x= (4,-7)
y= (6,-10)
z= (7,-4)
Step-by-step explanation:
I think the answer is B! Hope this helps!
Answer:
Step-by-step explanation:
The total number of students is 350 + 50 + 225 + 375 = 1000.
There are 225 students in band only, as well as 50 students in both band and choir. So there are 275 students in band out of the total of 1000, or 27.5%.
There are 350 students in choir only, as well as 50 students in both choir and band. So there are 400 students in choir, 50 of whom are also in band. So the probability is 50/400, or 12.5%.
The probabilities are not the same.
Since the probabilities are not the same, the probability of being in band is affected by whether or not the student is in choir. So the events are not independent.