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Andre45 [30]
3 years ago
11

It takes 78 days to create a custom motorcycle. Write an algebraic expression to describe the number of days it takes to create

n custom motorcycles. How many days will it take to create 6 custom motorcycles?
Mathematics
1 answer:
seropon [69]3 years ago
8 0
78n would be the expression used to solve this (n standing for the # of motorcycles)
Then substitute 6 for n since that's how many motorcycles its asking for. Multiply 78x6 which would equal to 468 days
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koban [17]

Answer:

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Step-by-step explanation:

Given

A = (-1,-2)

B = (2,4)

AP:BP = 1 : 2

Required

The locus of P

AP:BP = 1 : 2

Express as fraction

\frac{AP}{BP} = \frac{1}{2}

Cross multiply

2AP = BP

Calculate AP and BP using the following distance formula:

d = \sqrt{(x - x_1)^2 + (y - y_1)^2}

So, we have:

2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

Take square of both sides

4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2

Evaluate all squares

4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16

Collect and evaluate like terms

4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20

Open brackets

4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20

Collect like terms

4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y  + 20 - 20 =  0

3x^2 + 12x + 3y^2 +24y  =  0

Divide through by 3

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3 0
3 years ago
A 2025633
Nataly_w [17]

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tinyurl.com/wpazsebu

5 0
2 years ago
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densk [106]

Answer:

<em>(f-g)(x)=x+14</em>

Step-by-step explanation:

<u>Operations with Functions</u>

Given two functions f(x) and g(x), the following operations are defined:

(f+g)(x)=f(x)+g(x)

(f-g)(x)=f(x)-g(x)

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(f/g)(x)=f(x)/g(x)

We have f(x)=3x+10 and g(x)=2x-4. Use the second formula to find

(f-g)(x)=(3x+10)-(2x-4)

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Joining like terms:

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3 years ago
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Answer:

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Step-by-step explanation:

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