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8_murik_8 [283]
3 years ago
15

Distribute and simplify: 7 (2x - 4) + 2 (3x + 1)

Mathematics
1 answer:
Alenkinab [10]3 years ago
3 0
7(2x-4)+2(3x+1)\\\\[(7*2x)+(7*-4)]+[(2*3x)+(2*1)]\\\\(14x-28)+(6x+2)\\\\14x+6x-28+2\\\\\\20x-25
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Which properties justify the steps taken to solve the system?
NNADVOKAT [17]

Your Welcome!!  

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4 0
3 years ago
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If 5 hamburgers cost $10, what is the cost for 3 hamburgers?
mestny [16]

Answer: 6$

Step-by-step explanation: 5 divided by 10 = 2$ so 3 x 2 = 6

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6 0
3 years ago
Work out the formula of the nth term in the following quadratic sequence:<br> 19, 15, 9, 1...
Butoxors [25]

In a quadratic sequence we'll get a linear first difference and a constant second difference.  Let's verify that.

n          1   2   3   4

f(n)       19  15  9   1

1st diff   -4  -6  -8

2nd diff     2   2

We see that we got a constant second difference.  We could just extend that and work back up to get more values.

n          1   2   3   4       5    6      7

f(n)       19  15  9   1      -9   -21   -35

1st diff   -4  -6  -8   -10  -12   -14

2nd diff     2   2    2     2    2

That's just an aside; we're after the general formula.  We have

f(1)=19, f(2)=15, f(3)=9

In general we can assume

f(n) = an²  + bn + c

We get three equations in three unknowns,

19 = a(1²)+b(1)+c = a+b+c

15 = a(2²) + b(2) + c = 4a + 2b + c

9 = a(3²) + b(3) + c =  9a + 3b + c

That's a 3x3 linear system; it's easy to solve directly.  Subtracting pairs,

4 = -3a - b

6 = -5a - b

Subtracting those,

-2 = 2a

a = -1

b = -3a -4 = -1

c = 19-a-b = 21

Answer: f(n) = -n² - n + 21

Check:

f(1) = -1 - 1 + 21 = 19, good

f(2) = -4 - 2 + 21 = 15, good

f(3) = -9 - 3 + 21 = 9, good

f(4) = -16 - 4 + 21 = 1, good

Let's check our extended table, how about

f(7)= -49 - 7 + 21 = -35, good

6 0
3 years ago
What is the value of m in the equation 38(m−29)=434 ?
Len [333]
38(m - 29) = 434...distribute thru the parenthesis
38m - 1102 = 434...add 1102 to both sides
38m = 434 + 1102
38m = 1536....divide both sides by 38
m = 1536/38
m = 768/19 or 40 8/19
8 0
3 years ago
Given the function f(x) = 1/2x-3 and the domain {-4, 4, 10} what is the range of the function?
AlexFokin [52]

<h3><em>This is the range of y , Ry=R−{0}</em></h3>
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3 years ago
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