Answer:
(a) x > 4 (b) y < -2
Step-by-step explanation:
Domain is referring to the x-values while the range is referring to the y-values.
Since the function (the line) has a circle at the point (4, -2), the function will be exclusive at that coordinate.
The line goes to infinity for the x-values from 4, so you write x > 4 or ∞ > x > 4.
Similarly, the line goes to infinity for the y-values from -2, so you write y < -2 or -∞ < y < -2.
Answer:
56 is 70% of 80 students.
Step-by-step explanation:
70% = 0.7
56 divided by 0.7 = 80
The formula for calculating the simple interest is given by

Here, P = Principle amount
r = annual interest rate in decimal
t = time in years.
Now, if we invest for months or week then in order to find the simple interest, we must convert the units in years.
Therefore, d is the correct option.
d) Interest rates are annual, so you must convert the units into years.
Answer:
The Answer is: x = 29
Step-by-step explanation:
Put all of the angles equal to 360 degrees:
(5x - 8) + (3x + 4) + 89 + 51 = 360
Collect like terms and solve for x:
5x + 3x - 8 + 4 + 89 + 51 = 360
8x - 4 + 140 = 360
8x + 136 = 360
8x = 224
x = 224/8 = 28
*** Corrected 12/272019 *** Thanks to the Moderator!
You did not include the graph.
Searching on internet I found a graph with which I can help you. I will solve the question using and so you can understand the problem and solve with the real graph.
1) The slope of line given the graph is calculated as:
slope = run / rise = Δy / Δx = constant.
2) So, you can choose any two points to calculate the slope.
3) Uisng the points (50,20) and (30,10) you get:
slope = [ 20 - 10] / [50 - 30] = 10 / 20 = 1/2
4) Note that that means that the plant grows 1 cm in 2 days
5) The rate of change is 1cm / 2 weeks.
With this you know how to calculate the slope, which is the same rate of change, and the meaning of it, which permits to answer the question from the complete statement and graph.