Answer:
Step-by-step explanation:
The model for an exponencial function is:
'c' is the value of the asymptote, so we have c = 3.
To find the value of 'a', let's use the point (0,5):
Now, to find the value of 'b', let's use the point (1, 7):
So our function is:
Let's check if the point (-1, 4) is inside our function:
Answer:
4 carrots /2 cups of water
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Answer:
2.04
Step-by-step explanation:
Answer:
He has 11 quarters
Step-by-step explanation:
* Lets study the information in the problem to solve it
- The value of dimes and quarters is $6.35
- There are dimes and quarters
- The dime = 10 cents
- The quarter = 25 cents
* We must change the money from dollars to cents
∵ $1 = 100 cents
∴ $6.35 = 6.35 × 100 = 635 cents
- The number of dimes = 3 + 3 × number of quarters
* Let number of dimes is D and number of quarter is Q
∴ D = 3 + 3Q
∴ 10D + 25Q = 635
* Substitute the value of D from first equation in the second equation
∴ 10(3 + 3Q) + 25Q = 635 ⇒ open the bracket
∴ 10(3) + 10(3Q) + 25Q = 635
∴ 30 + 30Q + 25Q = 635 ⇒ collect like terms
∴ 30 + 55Q = 635 ⇒ subtract 30 from both sides
∴ 55Q = 605 ⇒ divide both sides by 55
∴ Q = 11
* He has 11 quarters
