⅓x² +11x-75<105
⅓x² +11x-75-105<0
⅓x² +11x -180<0
x² +33x - 540<0
(x+45)(x-12)<0
(x-12)<0 or (x+45)>0
x<12 or x >-45
answer is A
The integer you’re looking for is 3
Answer:
y = 50x+25
f(x) = 50x+25
Step-by-step explanation:
Using the slope intercept form of the equation, y = mx+b
where x is the amount per day and b is the flat fee
2 days
125 = 2x+b
5 days
275 = 5x+b
Subtract
275 = 4x+b
125 = 2x+b
---------------------
150 = 3x
Divide by 3
150/3 = 3x/3
50 =x
The cost per day is 50 dollars
y = 50x +b
Using the data for 2 days
125 = 50*2 +b
125 = 100 +b
125-100 = b
b = 25
The equation is y = 50x+25
f(x) = 50x+25
To graph, The x axis is number of days and the y axis is total cost
The number of days starts with 0, which is the y intercept
Let x = 0, y =25
Using the slope, we go 50 up and 1 to the right ( 50 dollars per day)
The next point plotted ins ( 1,50)
Draw a straight line
Answer:
last choice
Step-by-step explanation:
sin(theta) is positive
tan(theta)=sin(theta)/cos(theta) is negative
If sin(theta) is positive and tan(theta) is negative, then cos(theta) is negative because +/-=-
So we are looking for the quadrant where sine is positive and cosine is negative or when x is negative and y is positive.
This is in quadrant 2 so our angle theta is between 90 and 180 degrees.
Environmental factors also vary across individuals and the combined effect of environmental and genetic heterogeneity is etiologic heterogeneity. ... If individuals with the disease in question have more relatives affected by the disease than individuals without the disease, familial aggregation is identified.
I tried my best on these so please at least comment something if I got wrong so I know can understand what I did wrong, please thank you.
