Answer:
The formulas for converting between degree Celsius and degree Fahrenheit are:
°F = (°C * 9/5) + 32
°C = (°F - 32) * 5/9
To find the temperature when both are equal, we use an old algebra trick and just set ºF = ºC and solve one of the equations.
°C = (°C * 9/5) + 32
°C - (°C * 9/5) = 32
-4/5 * °C = 32
°C = -32 * 5/4
°C = -40
°F = (°F * 9/5) + 32
°F - (°F * 9/5) = 32
-4/5 * °F = 32
°F = -32 * 5/4
°F = -40
So the temperature when both the Celsius and Fahrenheit scales are the same is -40 degrees
Have a nice day!!!
Point-slope form: y-y1=m(x-x1)
y-2 = -8(x+8)
y-2 = -8x-64
y = -8x-62
Perpendicular = reciprocal
-8 becomes 1/8
Answer: y = (1/8)x - 62
Answer:
45
Step-by-step explanation:
To find the number you just add 6 to 39 which gets you 45.
Answer:
(x, y) = (-2, 7), (0, -1), (3, -13), (-1, 3)
Step-by-step explanation:
To fill in the y-values, you need to put the x-value in the equation and evaluate.
<u>for x=0</u>
y = -4(0) -1 = -1
<u>for x=-1</u>
y = -4(-1) -1 = 4 -1 = 3
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To fill in the x-values, we can solve for x and then do as we did above.
y = -4x -1
y +1 = -4x . . . . add 1
-(y +1)/4 = x . . . divide by -4
<u>for y=7</u>
x = -(7 +1)/4 = -2
<u>for y=-13</u>
x = -(-13+1)/4 = -(-12/4) = 3
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Then the table is ...

9514 1404 393
Answer:
26. B(t) = 500·1.075^t; B(6) ≈ $772
27. G(t) = 70·0.72^t; G(3) ≈ 26 g
Step-by-step explanation:
The equation with the plus sign is used when the value is increasing. The minus sign is used when the value is decreasing. The 'a' in each equation is the initial value.
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26. B(t) = 500·1.075^t
B(6) = 771.65
The balance after 6 years is about $772.
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27. G(t) = 70·0.72^t
G(3) = 26.127
About 26 grams are left after 3 days.