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: -3
Step-by-step explanation:
We can check our work my multiplying -3 by -9 and see that it equals 27
![-9*[\frac{27}{-9} = -3 ]* -9\\27 = 27](https://tex.z-dn.net/?f=-9%2A%5B%5Cfrac%7B27%7D%7B-9%7D%20%20%3D%20-3%20%5D%2A%20-9%5C%5C27%20%3D%2027)
Answer:
m=3/4
Step-by-step explanation:
first, let's put the line 4x+3y=9 from standard form (ax+by=c) into slope-intercept form (y=mx+b)
we have the equation 4x+3y=9
subtract 4x from both sides
3y=-4x+9
divide by 3
y=-4/3x+3
perpendicular lines have slopes that are negative and reciprocal. If the slopes are multiplied together, the result is -1
so to find the slope of the line perpendicular to the line y=-4/3x+3, we can take the slope of y=-4/3x+3 (-4/3) multiply it by a variable (this is our unknown value), and have that set to -1
(m is the slope value)
-4/3m=-1
multiply by -3/4
m=3/4
therefore the slope of the perpendicular line is 3/4
hope this helps!! :)
Answer:
= 28/45 (Decimal: 0.622222)
Step-by-step explanation:
Simplify:
(1−1/4)(1−1/9)(1−1/16)(1−1/225)
=((1−1/4)(1−1/9)(1−1/16))(1+−1/225)
=((1− 1/4 )(1− 1 /9 )(1− 1 /16 ))(1)+((1− 1 /4 )(1− 1 /9 )(1− 1/ 16 ))( −1 /225 )
=5/8 + −1/360
= 28/45 (Decimal: 0.622222)
Please mark brainliest
<em><u>Hope this helps.</u></em>
