Answer:
Here is something you can study.
Step-by-step explanation:
Answer: The product of (-a + 3)(a + 4) is: -a^2-a+12
Step-by-step explanation:
(-a+3)(a+4) = -a*a-a*4+3*a+3*4
=-a^{2} -4a+3a+12
now just simply combine..
=-a^2-a+12
the answer is -a^2-a+12
X = Can/Bottle height, y = Shadow length
x = 13 cm, y = 7.5 cm
x = 2.5 cm, y = 14.2 cm
I'm assuming your question is asking for an equation to model this. Since there are only two data points the only equation that can be made is linear
y = mx + c
m = (y2 - y1)/(x2 - x1) <- Let 14.2 be y2, and 2.5 be x2 (it is important)
m = (14.2 - 7.5)/(2.5 - 13)
m = 6.7/-10.5
m = -0.638
y = -0.638x + c
To find c we can sub any one of the two coordinates, i'm choosing (2.5,14.2)
14.2 = -0.638(2.5) + c
14.2 = -1.595 + c
14.2 + 1.595 = c
15.795 = c
So the final equation is y = -0.638x + 15.795
Answer:
1. The amount of time you keep your porch light on.
2. The temperature you keep your air conditioner at.
Step-by-step explanation:
<u>Porch Light Time Example: </u>
The light does not turn on or off based on the bill, thus its independent, but the bill is effected by the amount of time the light is on thus dependent.
You keep your porch light on for 24 hours a day for 1 month, that month your electricity bill is $50.
Next month you keep your porch light on for 12 hours a day and your electricity bill is $40.
<u>Air Conditioner Temp Example: </u>
The thermostat temperature is not effected by the bill, thus its independent, but the bill is effected by the thermostat, thus dependent.
You set your thermostat to 70 degrees for 1 month, that month your electricity bill is $50.
Next month you set your thermostat to 75 degrees for 1 month, that month your electricity bill is $40.
