Answer:
x-intercept is (2,0) [The x-intercept means that it takes 2 hours for the temperature to reach 0°C]
y-intercept is (0, -6) [The y-intercept represents the temperature at sunrise, -6°C]
Step-by-step explanation:
<u>Complete Question:</u>
<em>The air temperature is -6 degrees celcius at sunrise and rises 3 degree celcius every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x - 6. Find the x-intercept and y-intercept and interpret their meaning.</em>
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- The x-intercept is the x-axis cutting point found by setting y = 0 [function = 0]
- The y-intercept is the y-axis cutting point found by setting x = 0
Lets find x-intercept first:
f(x) = 3x - 6
0 = 3x - 6
3x = 6
x = 6/3
x = 2
x-intercept is (2,0)
Now, lets find y-intercept:
f(x) = 3x - 6
f(x) = 3(0) - 6
f(x) = -6
y-intercept is (0, -6)
The x-intercept means that it takes 2 hours for the temperature to reach 0°C
The y-intercept represents the temperature at sunrise, -6°C
Answer:
Choice D.
Step-by-step explanation:
The range is the set of all y-coordinates of the points in the graph.
The graph is a wavy function that has a maximum y-coordinate of 1 and a minimum y-coordinate of -1. The y-coordinates can also be all numbers between -1 and 1. Choice A. is only the two numbers -1 and 1. That is not correct since the range comprises the numbers -1, 1, and all numbers in between -1 and 1.
Answer: Choice D.
Answer:
6^8
Step-by-step explanation:
6^4 * 6^4
We know that a^b* a^c = a^(b+c)
6^4×6^4 = 6^(4+4) = 6^8
Opposites are the same difference from zero!
This question is essentially asking you to find the surface area of the box.
The formula for SA on a rectangular prism is: 2(L*W+L*H+W*H)
L=Length W=Width H=Height
Lets input the information we know:
2(20*8+20*30+8*30)
Follow BEDMAS
2(160+600+240)
2(760+240)
2(1000)
2*1000
=2000
The box will need 2000 centimeters squared of material.
Hope this helps!
-Benjamin
