The nature of the solutions/roots of a quadratic function can be determined from its discriminant.
The discriminant of a quadratic function can be calculated as:
Discriminant = b² - 4ac
Here,
a = coefficient of squared term = -5
b = coefficient of x term = 8
c = constant = - 7
So, the discriminant will be:
Discriminant = 64 - 4(-5)(-7) = - 76
The value of the discriminant is negative. This shows that the given quadratic function has no real solution.
Answer:
<h2>There are 13 quarters, 5 nickels and 20 dimes.</h2>
Step-by-step explanation:
Givens
- Max has $5.50.
- He has eight more quarters than he does nickels.
- He had four times as many dimes as he has nickels.
From these statements, we can deduce algebraical expressions to solve the problem. Let's call quarters, nickels and dimes.
(8 more quarters than nickels)
(he has four times as many dimes as he has nickels).
(Max has a total of $5.50, one quartes is $0.25, one nickel is $0.05 and one dime is $0.10).
Let's replace the first two expressions into the third equation
There are 5 nickels.
Now, we use this value to find the number of quarters
There are 13 quarters.
Also,
There are 20 dimes.
Therefore, there are 13 quarters, 5 nickels and 20 dimes.
Answer:
38
Step-by-step explanation:
8*4=32
add 6
Hope this helps!
Answer:
d. 24,000 at 3% and 8,000 at 5.5%
Step-by-step explanation:
Let the principal for the 3% loan be and that for the 5.5% loan be . Let their respective interests be and .
Then
From the question, the sum of the interests is 4640.
Also, the total amount borrowed is 32000.
To solve the last two equations simultaneously, multiply the second by 0.12 and subtract from the first (this eliminates ).
From ,
Hence, $24,000 was borrowed at 3% and $8,000 was borrowed at 5.5%.
So do we solve both of them, or just one of them I’m confused.