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ElenaW [278]
3 years ago
13

Put the equation in standard form. y - 1 = -1/3 (x - 6)

Mathematics
1 answer:
Drupady [299]3 years ago
3 0

Answer:

x + 3y = 9

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y - 1 = - \frac{1}{3}(x - 6)

Multiply through by 3 to clear the fraction

3y - 3 = - (x - 6) ← distribute parenthesis by - 1

3y - 3 = - x + 6 ( add x to both sides )

x + 3y - 3 = 6 ( add 3 to both sides )

x + 3y = 9 ← in standard form

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Use the three steps to solve the problem. Joe is 10 years older than James. In 8 years, twice Joe's age will equal three times J
GarryVolchara [31]
<span>x = Joe's age  and </span><span>y = James's age 
</span><span>Joe is 10 years older than James - equation - x = y + 10 
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</span>
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<span>2(y + 10 +8) = 3(y+8) { substitute y + 10 for x </span>
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7 0
3 years ago
What is Indegree and Outdegree of a graph?
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3 0
3 years ago
An element with a mass of 550 grams decays by 18.8% per minute. To the nearest minute, how long will it be until there are 60 gr
dmitriy555 [2]

Answer:  11

Step-by-step explanation:

Exponential Functions:

y=ab^x

y=ab  

x

 

a=\text{starting value = }550

a=starting value = 550

r=\text{rate = }18.8\% = 0.188

r=rate = 18.8%=0.188

\text{Exponential Decay:}

Exponential Decay:

b=1-r=1-0.188=0.812

b=1−r=1−0.188=0.812

\text{Write Exponential Function:}

Write Exponential Function:

y=550(0.812)^x

y=550(0.812)  

x

 

Put it all together

\text{Plug in y-value:}

Plug in y-value:

60=550(0.812)^x

60=550(0.812)  

x

 

\frac{60}{550}=\frac{550(0.812)^x}{550}

550

60

​  

=  

550

550(0.812)  

x

 

​  

 

Divide both sides by 550

0.109091=0.812^x

0.109091=0.812  

x

 

\log 0.109091=\log 0.812^x

log0.109091=log0.812  

x

 

Take the log of both sides

\log 0.109091=x\log 0.812

log0.109091=xlog0.812

use power rule to bring x to the front

\frac{\log 0.109091}{\log 0.812}=\frac{x\log 0.812}{\log 0.812}

log0.812

log0.109091

​  

=  

log0.812

xlog0.812

​  

 

Divide both sides by log(0.812)

10.638757=x

10.638757=x

x\approx 11

x≈11

5 0
3 years ago
There are 104 apples in a bushel the probability of randomly choosing a granny smith apple from The Bushel is 25% how many apple
Sophie [7]

Answer:

There are 78 apples in the bushel that are not granny smith apple.

Step-by-step explanation:

We are given the following in the question:

Number of apples in the bushel,n = 104

Probability of a granny smith apple from The bushel = 25%

P(Granny smit apple) =

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Thus, probability thta the apple is not a granny smith apple is

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q=1 - p = 1-0.25 = 0.75

Number of apples that are not granny smit apple =

=q\times n\\=0.75\times 104\\=78

Thus, there are 78 apples in the bushel that are not granny smith apple.

5 0
3 years ago
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