Answer:
Step-by-step explanation:
so the g(x) = x-1 gets plugged into every x in the f(x) function
=
- 3(x-1) + 3
=
-2x+1 -3x +3 + 3
=
-5x +7
now plug in x = 5
=
-5(5) +7
= 7
Answer:
x = 2 for a, c, and f
Step-by-step explanation:
a)
6(2x - 1) = 4 + 7x
12x - 6 = 4 + 7x
5x = 10
x = 2
b)
10 - 3x = -2(x + 4)
10 - 3x = -2x - 8
18 = x
c)
-3(7 - 2x) = -1 - 4x
-21 + 6x = -1 - 4x
10x = 20
x = 2
d)
7x + 12 = 2(4x - 5)
7x + 12 = 8x - 10
22 = x
e)
-5(x + 1) = -4 - 7x
-5x - 5 = -4 - 7x
2x = 1
x = 1/2
f)
8x + 11 = 9(5 - x)
8x + 11 = 45 - 9x
17x = 45 - 11
17x = 34
x = 2
Answer:
the slope is 3 :)
Step-by-step explanation:
Answer:
See Below.
Step-by-step explanation:
We are given that:

And we want to show that:

From the original equation, divide both sides by (<em>T</em> - <em>T₀</em>) and multiply both sides by dt. Hence:

Take the integral of both sides:

Integrate. For the left integral, we can use u-substitution. Note that <em>T₀</em> is simply a constant. Hence:

Raise both sides to e:

Simplify:

Since the temperature <em>T</em> will always be greater than or equal to the surrounding medium <em>T₀</em>, we can remove the absolute value. Hence:
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Therefore:
