Answer:
Step-by-step explanation:
- To know the value that y takes according to the inequation
, we must do some algebra. - First of all, we divide both terms by (-3), wich would change the direction of the inequality, as follow:
(at this point you should remember that dividing or multiplying an inequation by anegative number changes the direction of the inequality).. - This means that
. Then,we just have to add both sides 4, which yields 
. - Then
, which means that, if we divide both sides by 5, we obtain the value of y: (in this case, the direction of inequality does not change because 5 is possitive).
80,236
a) the digit 8 is in the ten thousands place.
The value of this digit is 80,000.
b) the digit 6 is in the ones place.
The value of this digit is 6.
c) the digit in the thousands place is 0.
Answer: -5(p-4)
Step-by-step explanation: The coefficient of a variable is the number multiplying it. To factor it, take the coefficient out and put it outside the parantheses. However, if you do that, make sure you take that coefficient out of all of your other terms!
Answer: C) 16
We know that the x or y axis side is 2 and 6
If we double the number to find the perimeter:
2 - 4
6 - 12
—-
16
Therefore the answer is 16
Answer:
- g(20) > f(20)
- g(x) exceeds f(x) for any x > 4
Step-by-step explanation:
As with most graphing problems not involving straight lines, it works well to start with a table of values. Pick a few values of x and compute f(x) and g(x) for those values. Plot the points and draw a smooth curve through them.
As in the attached, your table will show that there are two points of intersection between f(x) and g(x), and that for values of x more than 4, g(x) becomes much greater very quickly. Both curves rapidly reach the top of your graph space.
To find whether f(20) or g(20) is greater, you can evaluate the functions for that value of x.
f(20) = 20² = 400
g(20) = 2²⁰ = 1,048,576
Clearly, g(20) has a greater value.
