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:
x = 58
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
90 = 32+x
Subtract 32 from each side
90-32 = x
58 =x
Answer:
m= 15 b=25
Step-by-step explanation:
the slope is 15 because thta is the unit rate and the missing point that isnt shown is (0,25)
Answer:
y=x+8 and y=3x
Step-by-step explanation:
The Given point is (4,12)
now we can substitute the point in each of the function and check wether it lies on it or not.
A. y=x+8
substitute y=12,x=4
12=4+8=12 which is true
B. y=3x
substitute y=12,x=4
12=3*4=12 which is true
C. y=2x
substitute y=12,x=4
12=2*4=8 which is not true
D. y=x+6
substitute y=12,x=4
12=4+6=10 . which is not true
Therefore option A and B are correct.
