Answer:
k=−0.8
Step-by-step explanation:
Start with the equation: 0.2(3k+1)=-0.4-(-0.2-0.1K)
Use distributive property on each side of the equation. For the left side, distribute 0.2 into 3k and 1, and for the right side, distribute -1 into -0.2 and -0.1k. (We use a -1 because the negative sign on the outside of the parenthesis is equivalent to -1)
(0.2)(3k) + (0.2)(1) = 0.6k + 0.2
(-1)(-0.2) + (-1)(-0.1k) = 0.2 + 0.1k
New equation: 0.6k + 0.2 = -0.4 + 0.2 + 0.1k
Now we can combine like terms on the right side. (-0.4 and 0.2)
0.6k + 0.2 = 0.1k - 0.2
Now to get rid of k on one side, we can subtract 0.1k from the right side.
(0.6k - 0.1k) + 0.2 = (0.1k - 0.1k) - 0.2
0.5k + 0.2 = -0.2
Now we need to get 0.5k by itself, so we'll subtract the 0.2 on both sides.
0.5k + (0.2 - 0.2) = (-0.2 - 0.2)
0.5k = -0.4
To get k by itself, we must divide both sides by 0.5.
(0.5k / 0.5) = (-0.4 / 0.5)
k = -0.8
y = abˣ
20 = ab¹
20 = ab
b b
20/b = a
y = abˣ
4 = (20/b)b²
4 = 20b
20 20
¹/₅ = b
y = abˣ
20 = ¹/₅b¹
20 = ¹/₅b
¹/₅ ¹/₅
100 = b
y = abˣ
y = 100(0.2)ˣ
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The required expression is ~
I hope it helps ~
Answer:
a) 135 x 3 = 405
b) inductive (am not very sure about this )
Answer: x=2
Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.
Hope this helps you out! ☺