So, you need to know that the slope stays where it is, and that the 6 is not part of the final answer, so get rid of it.
y=2x+b
Now, submit x in for x, and y in for y.
3=2(1)+b
3=2+b
1=b
Put this in for the equation missing the b,
y=2x+1
Now check it; if you put 1 in for x, does y=3?
250 lunches are produced by the small business in last week.
<u>Step-by-step explanation:</u>
It is given that,
- y ⇒ the average cost per week.
- x ⇒ the number of lunches produced per week.
The function relating these two factors x and y is given as y = 2.1x + 75
- The cost of the last week is y = $600.
- The lunches made last week is x = unknown.
<u>To find the value of x :</u>
Substitute y= 600 in the given function,
⇒ 600 = 2.1x + 75
⇒ 2.1x = 600 - 75
⇒ x = 525 / 2.1
⇒ x = 250
Therefore, the lunches prepared last week is 250.
Okay, so the answer is 5/9. “Someone” was correct. The subtracting of 100 from 225 came from the 100 already being used out of that 225. If you subtract that, you’re left with how much space left. Place those back into the fraction and simplify and you get our answer.
Answer:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Step-by-step explanation:
Let be 
and 
the amounts of nickels and dimes that Carrie and Joan have, as 
the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.
The following equations are constructed after a careful reading on statement:
Carrie's amount of money:
(Eq. 1)
Joan's amount of money:
(Eq. 2)
Relation between amounts of coins:
(Eq. 3)
First we eliminate by equalizing (Eq. 1) and (Eq. 2):
Then, we reduce the resulting formula by (Eq. 3):
And rest of variable are now determined:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Answer:
According to the laws of indices, when multiplying numbers with exponents and the bases are the same add the powers
