1)f(×)=3*=f(×)=×-1 0 1=0.23
The slope is 2. Use the slope formula (Y2-Y1/X2-X1) to find it, or count the rise over run.
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:
C
Step-by-step explanation:
The Triangle Angle Bisector theorem says that and angle bisector will divide the opposite side into 2 segments that are proportional to the other 2 sides of the triangle.
Thus, from the definition, we can say 28 and x is proportional to 14 and 8.
We can set up a ratio, cross multiply, and solve for x:
So the value of x is 16 and thus the correct answer is C
Answer:
V ≈ 714 in³
Step-by-step explanation:
The volume of a triangular prism can be found using the formula:
V = Bh, where B = the area of the base and h = the height of the prism. Since the base is a triangle, you will need to use the formula for area of a triangle: A = bh.
In this figure, the base of the triangle = 23.25 and the height of the triangle is 10.25. So, the area = ()(23.35)(10.25) ≈ 119 in²
With the B = 119 and the height of the prism = 6:
V = 119(6) = 714 in³