Answer:
8x-15=3x+45 alternate angle
8x-3x=45+15
5x=60
x=60/5=12
Answer:
(-2,-5)
(1,1)
(3,5)
Step-by-step explanation:
Look at photo.
Since this is an inequality where y is greater than 2x - 4, it is a dashed line and points on the line do not count as a solution to the inequality. Only points in the shaded region are solutions.
Hi! So, here’s what I know. Every triangle will equal to 180*. So to check if that triangles is 180 we add all angles and it should add up to 180*.
Now the question is, Why it shows that the angles of a triangle equal to 180* when added up?
Note that we see all angles lie on a straight line, therefore we know that when we add angles that lie on a straight line it will equal to 180*, they will also meet at the same point.
This is all I can help with. Hope it helped something!!! Have a great day!
You have the correct axis of symmetry value. Nice work.
Plug that x value into the equation to get...
y = -2x^2 - 12x - 10
y = -2*(-3)^2 - 12*(-3) - 10 <<-- replace every x with -3; then use PEMDAS
y = -2*(9) - 12*(-3) - 10
y = -18 + 36 - 10
y = 18 - 10
y = 8
The vertex is the ordered pair (-3, 8)
Note: the axis of symmetry is the vertical line through the vertex
Answer:
11,713 bacteria
Step-by-step explanation:
Integrating the growth rate function gives us the population of bacteria at any given moment 't', in hours:
Since at t=0, P(t) = 400, the value of C is:
The number of bacteria after 3 hours is: