Determine the number and types of solutions for

6m^2-3m-4=0

2 real solutions

Step-by-step explanation:

Remember this messy thing?

The quadratic formula, as it's called, gives us the roots to any quadratic equation in standard form (ax² + bx + c = 0). The information on the type of roots is contained entirely in that bit under the square root symbol (b² - 4ac), called the discriminant. If it's non-negative, we'll have real roots, if it's negative, we'll have complex roots.

For our equation, we have a discrimant of (-3)² - 4(6)(-4) = 9 + 96 = 105, which is non-negative, so we'll have real solutions, and since quadratics are degree 2, we'll have exactly 2 real solutions.

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300

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step-by-step explanation: