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3 years ago

The equation through the point (5,3) and is parallel the equation y=2/5x+7

Mathematics

1 answer:

nignag [31]3 years ago

3 0

Answer:

Point - Slope Form: (y - 3) = 0.4(x - 5)

Slope - Intercept Form: y = 0.4x + 1

Step-by-step explanation:

Well if it's parallel, they have the same slope

Slope = 0.4

I'll do it in two forms:

Point - Slope Form: (y - 3) = 0.4(x - 5)

Slope - Intercept Form: y = 0.4x + b

3 = 2 + b

b = 1

y = 0.4x + 1

I might be wrong

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The pipe fitting industry had 546.5 thousand jobs in 2015 and is expected to decline at an average rate of 3 thousand jobs per y

lesya692 [45]

Answer:

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

Step-by-step explanation:

Due to the assumption of a yearly average rate, a linear function model shall be used. The expected amount of jobs ( $n$ ) after a certain amount of years (t) is given by the following formula:

$n = n_{o} + \frac{\Delta n}{\Delta t}\cdot t$

Where:

$n_{o}$ - Initial amount of jobs in pipe fitting industry, measured in thousands.

$\frac{\Delta n}{\Delta t}$ - Average yearly rate, measured in thousands per year. (A decline is indicated by a negative sign)

If $n_{o} = 546.5$ , $t = 2025-2015 = 10\,years$ and $\frac{\Delta n}{\Delta t} = -3\,\frac{1}{years}$ , then:

$n = 546.5+\left(-3\,\frac{1}{year}\right)\cdot (10\,years)$

$n = 516.5$

The percent change in jobs from pipe fitting industry is calculated as follows:

$\%n = \left(1-\frac{n}{n_{o}}\right)\times 100\,\%$

$\% n = \left(1-\frac{516.5}{546.5}\right)\times 100\,\%$

$\%n = 5.5\,\%$

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

4 0

3 years ago

(10 point's) 10 1/3 + 7/9 =

maks197457 [2]

10 1/3 = 10 3/9
3/9 + 7/9 = 1
10 + 1 = 11
Answer = 11

4 0

3 years ago

What is 2x-3y=1<br> Y=x-1

tigry1 [53]

Answer:

x = 2

y = 1

Step-by-step explanation:

2x - 3y = 1

y = x - 1

2x - 3( x - 1 ) = 1

y = x - 1

2x - 3x + 3 = 1

y = x - 1

-x + 3 = 1

y = x - 1

-x = -2

y = x - 1

x = 2

y = 1

4 0

3 years ago

The equation through the point (5,3) and is parallel the equation y=2/5x+7​

The equation through the point (5,3) and is parallel the equation y=2/5x+7