Y+5=2(x+1) determine the intercepts of the line?

Mathematics

1 answer:

Serjik [45]3 years ago

5 0

Answer:

To find the Y-intercept, let X = 0. To find the X-intercept, let Y = 0.

Step-by-step explanation:

Let Y + 5 = 2(X + 1) be the equation.

Y + 5 = 2(X + 1)
Y + 5 = 2X + 2 (Distributing 2 over the sum X + 1)

To find the X-intercept, let Y = 0 then solve for X :

0 + 5 = 2X + 2 (Substituting Y by 0)
5 = 2X + 2 (Evaluate)
5 - 2 = 2X (Simplifying by subtracting both sides by 2)
3 = 2X (Evaluate)
2X = 3 (Symmetric property of equality: see notes below)
X = 3/2 (Evaluate by dividing both sides by 2)

Similarly, to find Y-intercept, let X=0 then solve for Y:

Y + 5 = 2(0) + 2 (Substituting X by 0)
Y + 5 = 2 (Evaluate)
Y = -3 (Evaluate by subtracting both sides by 5)

Note:

Symmetric Property of Equality "=" states that given an equation A = B, it is just equivalent to B = A. So, for the equation Y + 5 =2(X + 1), this is equivalent to 2(X + 1) Y + 5.

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Nutka1998 [239]

Answer:

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Step-by-step explanation:

Let's say the original price is x

Create an equation:

$\frac{1}{2}x -5 = 11$

Add 5 on both sides

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8 0

2 years ago

A bike is bought for $1200 and sold 10 months later for $940.

Stolb23 [73]

Value

Depreciation is defined as the reduction in value of an asset over time. In this case, value reduction is due to wear and tear of an equipment (bicycle).

a. The depreciation value would simply be the difference in initial and salvage value divided by time in years.

Depreciation = (Initial value – Salvage value) / Number of years

b. Substituting the given values into the equation where:

Initial value = $1200

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Calculating:

Depreciation = ($1200 - $940) / (10/12 years)

Depreciation = $312 / year

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7 0

3 years ago