Answer:
16.33628179866692
Step-by-step explanation:
I dont know how far you wanted me to round so you will have to do that part
Answer:
You did not post the options, but i will try to answer this in a general way.
Because we have two solutions, i know that we are talking about quadratic equations, of the form of:
0 = a*x^2 + b*x + c.
There are two easy ways to see if the solutions of this equation are real or not.
1) look at the graph, if the graph touches the x-axis, then we have real solutions (if the graph does not touch the x-axis, we have complex solutions).
2) look at the determinant.
The determinant of a quadratic equation is:
D = b^2 - 4*a*c.
if D > 0, we have two real solutions.
if D = 0, we have one real solution (or two real solutions that are equal)
if D < 0, we have two complex solutions.
The number of situps form an AP with first term (a) = 17 and common difference (d) = 4
Tn = a + (n - 1)d
T12 = 17 + (12 - 1) x 4 = 17 + 11(4) = 17 + 44 = 61
Therefore, she will do 61 situps on day 12.
Answer: closed circle pointing to the right.
Step-by-step explanation:
Given that the inequality equation is
6 ( 2 - 3y ) < = 36
Open the bracket
12 - 18y < = 36
Collect the like terms
- 18y < = 36 - 12
Make y the subject of formula
The inequality sign will change the moment you multiply or divide both sides by negative numbers
Y > = - 24/18
Y > = - 4/3
That is y is greater than or equal to negative 4/3
Graphing the above inequality,
The point will be between -2 and -1. And it will be closer to -1.
The arrow will point to the right and it will be a closed circle since it is greater than or equal to.
Answer:
x=-3,x=9
Step-by-step explanation:
x^2-6x-20-7=0
x^2-6x-27=0
x^2-(9-3)x-27=0
x^2-9x+3x-27=0
x(x-9)+3(x-9)=0
(x+3)(x-9)=0
x=-3,x=9
