Acylindrical container has a base area of 100 m2 and is 12m high. if the container is one-third filled with water, what's the volume of the water in the container?
t' is at (-1,-8)
when we translate down 4 units, we will subtract 4 from the y coordinate
t is at (-1,-4)
we need to subtract 4 from the y coordinate
t' is at (-1,-4-4)
t' is at (-1,-8)
6x² + 17x + 12
each term in the second factor is multiplied by each term in the first factor
(3x + 4)(2x + 3)
= 3x(2x + 3) + 4(2x + 3) ← distribute both parenthesis
= 6x² + 9x + 8x + 12 ← collect like terms
= 6x² + 17x + 12 ← in expanded form
29) discriminant is positive
30) discriminant is 0
31) discriminant is negative
the graph of a quadratic function y=ax^2 + bx + c is shown. tell whether the discriminant of ax^2 + bx + c = 0 is positive, negative, or zero.
in the graph of question number 29 we can see that the graph intersects the x axis at two points
so the equation has 2 solutions.
when the equation has two solution then the discriminant is positive
in the graph of question number 30 we can see that the graph intersects the x axis at only one point
so the equation has only 1 solution.
when the equation has only one solution then the discriminant is equal to 0
in the graph of question number 30 we can see that the graph does not intersects the x axis
so the equation has 2 imaginary solutions.
when the equation has two imaginary solutions then the discriminant is negative
you need to find 30% of 560.
1.) first, you must do 560 times 30%. turn 30% into a simplified fraction by putting 30 over 100. you can simplify 30/100 to 3/10.
2.) next, multiply 560 by 3/10, which equals 168.