Answer:
Step-by-step explanation:
So we have the expression:
And we wish to factor it.
First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:
This is a technique called quadratic u-substitution. Now, we can factor in this form.
We can use the numbers -3 and -2. So:
For the first two terms, factor out a u.
For the last two terms, factor out a -3. So:
Grouping:
Now, substitute back the x² for u:
And this is the simplest form.
And we're done!
Answer:
The price of hot dog is $2.5 and that of a pretzel is $1.25.
Step-by-step explanation:
Let the cost of hotdogs be x and that of pretzels be x.
So,
4x+3y = 13.75 ...(1)
and
2x+5y = 11.25 ...(2)
Multiply equation (2) by 2.
4x+10y = 22.5 ...(3)
Subtract equation (1) from (3).
4x+10y-(4x+3y) = 22.5-13.75
4x+10y-4x-3y = 8.75
7y = 8.75
y = 1.25
Put the value of y in equation (1).
4x+3(1.25) = 13.75
4x+3.75 = 13.75
4x = 13.75-3.75
4x = 10
x = 2.5
So, the price of hot dog is $2.5 and that of a pretzel is $1.25.
Answer:
160,160
Step-by-step explanation:
let the first page be X
second one be x+1
x+x+1=321
2x=320
x= 320÷2=160
pages 160 161
Answer:
Step-by-step explanation:
Put the ordered pairs into the slope formula x=y2-y1/x2-x1 then you will get your slope of the line. once you have your slope pick an ordered pair and put it in point slope y-y1=m(x-x1) distribute and you will get your answer.
