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3 years ago

What is the y-intercept of the line -7x-5y=-45?

Mathematics

2 answers:

lukranit [14]3 years ago

8 0

Answer:

-9

First, we must convert the equation into slope intercept form, by solving for y.

Step 1: Add 7x to both sides.

$-7x-5y+7x=-45+7x-5y=-45+7x\\$

Step 2: Regroup terms.

$-5y=7x-45$

Step 3: Divide both sides by -5.

$y=-\frac{7x-45}{5}$

$y=-\frac{7}{5}x-9$

Now we can determine the y-intercept by just looking at the equation! the y-intercept is the only constant, -9

I hope this helps!

A brainliest will be greatly appreciated!

Goshia [24]3 years ago

7 0

Answer:

The y-intercept is at the point (0, 9).

Step-by-step explanation:

WE have the y intercept when x = 0:

-7(0) - 5y = -45

-5y = -45

y = -45/-5 = 9.

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mafiozo [28]

a) Total cost (per day) ≈ $1.40

b) Total cost (per year) ≈ $510

c) New annual cost = $327

d) The number of years that the water heater pays for itself is; approximately 4 years

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Wattage per hour = 4200 Watts per hour

Number of hours per day = 3 hours

Cost per unit = $0.11 per kilowatt-hour

Savings rate = 36%

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a) The total wattage is the product of the wattage per hour and the number of hours;

Total wattage (per day) = Wattage per hour × Number of hours

= 4,200 watts per hour × 3 hours

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The total cost is then the product of the total wattage and the cost per unit:

Total cost (per day) = Total wattage × Cost per unit

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Total cost (per day) = $1.386

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b) The total cost in a year is the product of the total cost in a day and the number of days in a year. There are 365 days in a year (assuming no leap year).

Total cost (per year) = Total cost (per day) × Number of days in a year

Total cost (per year) = $1.40 × 365

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c) We are told that this new water heater saves 36% of annual cost. Thus;

Amount saved = 36% * 510 = $183.6

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New annual cost = $510 - $183 = $327

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1 year ago

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Step-by-step explanation:

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3 years ago

What is the vertex form, f(x) = a(x − h)2 + k, for a parabola that passes through the point (1, −7) and has (2, 3) as its vertex

kondaur [170]

Answer:

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Step-by-step explanation:

h and k are the vertex coordinates

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f(x) = a(x − 2)^2 + 3

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Replace a to get the final vertex form equation:

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Convert to standard form:

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Simplify:

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