Answer:
2 real solutions
Step-by-step explanation:
Remember this messy thing?
The <em>quadratic formula</em>, as it's called, gives us the roots to any quadratic equation in standard form (ax² + bx + c = 0). The information on the <em>type</em> of roots is contained entirely in that bit under the square root symbol (b² - 4ac), called the <em>discriminant</em>. If it's non-negative, we'll have <em>real</em> roots, if it's negative, we'll have <em>complex roots</em>.
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.
Answer:
P = 5.3x = 206,700
Step-by-step explanation:
P = population
P = 5.3x, where x is the square miles
p = 5.3(39000) = 206,700
Answer:
True
Step-by-step explanation:
A point is zero-dimensional with respect to the covering dimension because every open cover of the space has a refinement consisting of a single open set.
Answer:
Step-by-step explanation:
radius of the circle=12 cm / 2=6 cm
Area of the square=side²=(12 cm)²=144 cm²
Area of the circle=πr²=(3.142)(6 cm)²≈(3.142)*36 cm²≈113.112 cm²
Area of the four sides between the square and the circle=
=Area of the square - area of the circle=144 cm²-113.112 cm²=30.888 cm²
shaded area =30.888 cm²/4=7.722 cm²
Answer =7.722 cm²
Answer:
4ab² + 20b - 3a
Step-by-step explanation:
This question most likely asks us to simplify the expression, as factoring is not possible...
(ab² + 13b - 4a) + (3ab² + a + 7b),
ab² + 13b - 4a + 3ab² + a + 7b,
ab² + 3ab² + 13b + 7b - 4a + a,
Solution : 4ab² + 20b - 3a
