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mestny [16]
3 years ago
13

1) 3(3x - 4) = -2(1 – 4x)

Mathematics
2 answers:
Yanka [14]3 years ago
6 0
Let's solve your equation step-by-step.
3
(
3
x
−
4
)
=
−
2
(
1
−
4
x
)
Step 1: Simplify both sides of the equation.
3
(
3
x
−
4
)
=
−
2
(
1
−
4
x
)
(
3
)
(
3
x
)
+
(
3
)
(
−
4
)
=
(
−
2
)
(
1
)
+
(
−
2
)
(
−
4
x
)
(Distribute)
9
x
+
−
12
=
−
2
+
8
x
9
x
−
12
=
8
x
−
2
Step 2: Subtract 8x from both sides.
9
x
−
12
−
8
x
=
8
x
−
2
−
8
x
x
−
12
=
−
2
Step 3: Add 12 to both sides.
x
−
12
+
12
=
−
2
+
12
x
=
10
hodyreva [135]3 years ago
3 0

Answer:

x = 10

Step-by-step explanation:

3(3x - 4) = -2(1 - 4x)

9x - 12 = -2 + 8x

9x - 8x = -2 + 12

x = 10

Hope this helps!

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Using a linear function, we have that:

a) The fixed cost is of $10.

b) The equation is: C = 10 + 12d.

c) The cost of an 18 km trip is $226.

d) The distance traveled is of 20 km.

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A linear function is modeled by:

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In which:

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For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:

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Hence the equation is:

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For a trip of 18 km, d = 18, hence the cost is:

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When the cost is of $250, the distance is found as follows:

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Matching each equation of the plecewise function represented in the graph will be:

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