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konstantin123 [22]
3 years ago
11

What is the answer to 6(x + 2) - x = 4(x + 4) + 7

Mathematics
2 answers:
pentagon [3]3 years ago
7 0
6(x+2) - x becomes 5x+12
4(x+4)+7 becomes 4x+23
5x+12=4x+23
x=11
MArishka [77]3 years ago
5 0
<span>6(x + 2) - x = 4(x + 4) + 7
Use distributive property
6x+12-x=4x+16+7
Subtract x from 6x
5x+12=4x+16+7
Add 7 to 16
5x+12=4x+23
Subtract 4x from both sides
x+12=23
Subtract 12 from both sides
Final Answer: x=11</span>
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Step-by-step explanation:

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Create three geometric sequences of your own (including one that is decreasing). Extend your sequences to include five terms. Th
Karo-lina-s [1.5K]

Answer:

a)  a_n=5\,\,(2)^{n-1}

b)  b_n=100\,\,(\frac{1}{2} )^{n-1}

c)  c_n=160\,\,(-\frac{1}{2} )^{n-1}

Step-by-step explanation:

a)  Geometric sequence with first term 5 and common ratio 2, where the nth term can be calculated via:

a_n=5\,\,(2)^{n-1}

The first five terms are: a_1=5;\,\,\,a_2=10;\,\,\,a_3=20; \,\,\,a_4=40;\,\,\,a_5=80

b) Geometric sequence with first term 100 and common ratio 1/2, where the nth term can be calculated via:

b_n=100\,\,(\frac{1}{2} )^{n-1}

The first five terms are: a_1=100;\,\,\,a_2=50;\,\,\,a_3=25; \,\,\,a_4=12.5;\,\,\,a_5=6.25

c)  Geometric sequence with first term 160 and common ratio -1/2, where the nth term can be calculated via:

c_n=160\,\,(-\frac{1}{2} )^{n-1}

The first five terms are: a_1=160;\,\,\,a_2=-80;\,\,\,a_3=40; \,\,\,a_4=-20;\,\,\,a_5=10

4 0
3 years ago
What is the solution to the following system of equations 2x+3y=3 and -3x-2y=8
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<span>2x+3y=3
</span><span>-3x-2y=8

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y = 1 - 2x/3
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</span>1 - 2x/3 =  -4 - 3x/2

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5 = -9x/6 + 4x/6

5 = -5x/6

x = 5 * 6/-5

x = -6

No plug it in.

<span>2x+3y=3 ; x = -6

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3y=3+12

3y=15

y = 5

So </span>x = -6 and y = 5
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