Answer:
2 • (2x - 3) • (3x - 2)
Step-by-step explanation:
Direct variation is represented by the equation y = k × x and inverse variation is represented by y = k/x
Table 1:
y = k × x
30 = k × 5
30 = 5k
k = 30/5
k = 6
So,
<em>y = 30 </em>
<em>y = 30 k = 6</em>
<em>y = 30 k = 6x = 5</em>
<em>y = 30 k = 6x = 5Equation: y = 6x</em>
y = k × x
y = 10 × 8
y = 80
So,
<em>y = 80 </em>
<em>y = 80 k = 10</em>
<em>y = 80 k = 10x = 8</em>
<em>y = 80 k = 10x = 8Equation: y = 10x</em>
y = 3x
18 = 3x
x = 18/3
x = 6
So,
<em>y = 18</em>
<em>y = 18k = 3</em>
<em>y = 18k = 3x = 6</em>
<em>y = 18k = 3x = 6Equation: y = 3x</em>
y = 2x²
72 = 2x²
x² = 72/2
x² = 36
x = √36
x = 6
So,
<em>y = 72</em>
<em>y = 72k = 2</em>
<em>y = 72k = 2x = 6</em>
<em>y = 72k = 2x = 6Equation: y = 2x²</em>
Table 2:
y = k/x
5 = k/6
5 × 6 = k
30 = k
So,
<em>y = 5</em>
<em>y = 5k = 30</em>
<em>y = 5k = 30x = 6</em>
<em>y = 5k = 30x = 6Equation: y = 30/x</em>
y = k/x
y = 36/4
y = 9
So,
<em>y = 9</em>
<em>y = 9k = 36</em>
<em>y = 9k = 36x = 4</em>
<em>y = 9k = 36x = 4Equation: y = 36/x</em>
y = 60/x
20 = 60/x
20x = 60
x = 60/20
x = 3
So,
<em>y = 20</em>
<em>y = 20k = 60</em>
<em>y = 20k = 60x = 3</em>
<em>y = 20k = 60x = 3Equation: y = 60/x</em>
y = 24/x
y = 24/12
y = 2
So,
<em>y = 2</em>
<em>y = 2k = 24</em>
<em>y = 2k = 24x = 12</em>
<em>y = 2k = 24x = 12Equation: y = 24/x</em>
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3 .......................
Answer:
23 x + 62
Step-by-step explanation:
Simplify the following:
5 (4 x + 12) + 3 x + 2
5 (4 x + 12) = 20 x + 60:
20 x + 60 + 3 x + 2
Grouping like terms, 60 + 20 x + 3 x + 2 = (20 x + 3 x) + (60 + 2):
(20 x + 3 x) + (60 + 2)
20 x + 3 x = 23 x:
23 x + (60 + 2)
60 + 2 = 62:
Answer: 23 x + 62
Answer:
B) She is incorrect because when substituting 2 for m the result was a false statement.
Step-by-step explanation:
Let's solve it for ourselves and see if Mia is correct:
7.8+2(0.75m+0.4)=-6.4m+4(0.5m-0.8)
7.8+1.5m+0.8=-6.4m+2m-3.2
1.5m+8.6=-4.4m-3.2
8.6=-5.9m-3.2
11.8=-5.9m
-2=m
m=-2
Since the answer is actually m=-2, Mia's guess is incorrect because plugging in m=2 does not make both sides equal. Therefore B is the correct option.
