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2 years ago

Find a value of x that makes the equation true: -(-2x + 1) = 9 – 14x

Mathematics

2 answers:

luda_lava [24]2 years ago

5 0

Answer:

x=0.625

Step-by-step explanation:

-(-2x+1)=9-14x

distribute:

2x-1=9-14x

add 1 to both sides

2x = 10-14x

add 14x to both sides

16x=10

divide by 16 to isolate x

x = 0.625

check:

-(-2(0.625)+1) = 9-14(0.625)

0.25 = 0.25

charle [14.2K]2 years ago

5 0

The final answer to this problem would be 0=0.625

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KatRina [158]

Answer:

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Step-by-step explanation:

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Subtract $x^2$ to both sides

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2 years ago

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4 years ago

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vaieri [72.5K]

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3 years ago

Help Please.

Virty [35]

11 5/8 in = 11.625 in

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3 years ago

PLEASE HELP.

OverLord2011 [107]

Answer:

Explicit formula for

1) $a_n=17-3(n-1)$

2) $a_n=(\frac{1}{2} )^{n-1}\cdot 20$

Step-by-step explanation:

W have to find the first few terms of the given sequence and then find an explicit equation

Explicit formula = f(n) + d(n-1) , where,

f(n) is first term,

d is common difference,

n-1 is one term less than the term number.

Given : $a_1=17\\\\a_{n+1}=a_n-3$

$\text{We put n =1, we get,}\\\\a_2=a_1-3=17-3=11=17-3(2-1)\\\\\\\text{We put n =2, we get,}\\\\\\a_3=a_2-3=11-3=8=17-3-3=17-3\cdot 2=17-3(3-1)\\\\\text{We put n =3, we get,}\\\\\\a_4=a_3-3=8-3=5=17-3-3-3=17-3\cdot 3=17-3(4-1)\\$

Thus, we obtained an explicit formula,

$a_n=17-3(n-1)$

Given : $a_1=20\\\\a_{n+1}=\frac{1}{2} \cdot a_n$

Thus, we obtained an explicit formula,

$a_n=17-3(n-1)$

$\text{We put n =1, we get,}\\\\\\a_2=\frac{1}{2} \cdot a_1=\frac{1}{2} \cdot 20=10=(\frac{1}{2} )^{2-1}\cdot 20\\\\\\\text{We put n =3, we get,}\\\\\\a_4=\frac{1}{2} \cdot a_3=\frac{1}{2} \cdot 5=\frac{5}{2}=(\frac{1}{2} )^{4-1}\cdot 20\\\\\\$

Thus, we obtained an explicit formula,

$a_n=(\frac{1}{2} )^{n-1}\cdot 20$

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3 years ago

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