The zeros to the equation 3 x 2 − 5 x − 2 = 0 are x = 3 and x = 2.
1 answer:
Answer:
False
Step-by-step explanation:
Solving the equation
3x² - 5x - 2 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 2 = - 6 and sum = - 5
The factors are - 6 and + 1
Use these factors to split the x- term
3x² - 6x + x - 2 = 0 ( factor the first/second and third/fourth terms )
3x(x - 2) + 1(x - 2) = 0 ← factor out (x - 2) from each term
(x - 2)(3x + 1) = 0
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = -
Solutions are x = 2 and x = -
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Answer:
6 Nickels
42 Dimes
Step-by-step explanation:
There are 48 coins in total (nickels and dimes). Let the number of nickels be "n" and the number of dimes be "d". So we can write:
n + d = 48
or
n = 48 - d
In dollars, we know nickels are worth 0.05 and dimes are worth 0.10. In total there is $4.50, so we can write:
0.05n + 0.10d = 4.50
Now replacing first equation [n = 48 - d] into 2nd, we get and equation in "d" and solve for d first:
So, there are 42 dimes.
We know from before, n = 48 - d, so
n = 48 - 42 = 6
There are 6 nickels