Y = (x-4)(x+20) ===> 0 = (x-4)(x+20)
that means the roots of that quadratic are x = 4 and x = -20.
now, the vertex will be between these two guys, right in between.
from -20 to 4 there are 24 units, half-way of that is 12 units, so, if we move from -20, 12 units to the right or towards 4, we'll end up at -20 + 12 = -8.
so, the vertex's x-coordinate is -8 then, what's "y" anyway?
y = (x-4)(x+20) x = -8
y = [(-8) - 4] [(-8) + 20]
y = (-12) ( 12)
y = -144
therefore, the vertex is at (-8 , -144)
Answer:
Yes, they make sense outside the context of temperature.
Step-by-step explanation:
If you are standing in a line, and mark your current position as 0 then if you take two steps ahead it can be counted as positive and if you take two steps back from your current position it can be counted as negative. The positive and negative can denote your forward and backward movement respectively.
If we denote the growth in companies revenue as positive and dip as negative then it would also make sense. A positive number would mean profit for the company while a negative sign would show loss.
Answer:
2x + 200 = 6x + 120
Step-by-step explanation:
Super-Clean house cleaning company: 2x + 200
Power Bright: 6x + 120
Now, they have to be equal because we are trying to find the equation for total charges.
So, your equation would be 2x + 200 = 6x + 120.
Hope this helps!
Answer:
18y*3>_b
Step-by-step explanation:
If b represents the amount of striped bass we are allowed to catch, than it must be either less than or equal to 3 bass who are 18 inches long. To show that, put a alligator mouth that is facing the 18y*3 and a line below it. The mouth represents less than and the line below it represents or equal to. I cant put the line below it while typing so this will have to do. The y represents inches.
Answer is 12.73
Use Pythagorean theory
Split square into two right triangles with diagonal line. To find the diagonal
a^2 + b^2 = c^2
9^2 + 9^2 = c^2
162= c^2
Take square root of both sides
12.73 = c
