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2 years ago

What is the equation for a line that has a slope of -1 and a y-intercept of -7?

Mathematics

1 answer:

Citrus2011 [14]2 years ago

6 0

Equation of a line: y=mx+b
m=slope(-1)
b=y-intercept(-7)
y=-1x-7 or y=-x-7

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Identify the domain and range for (1,4) (2,5) (0,6) (1,7) (2,8)

melamori03 [73]

The domain are the x values: 0,1,2
The range are the y values: 4,5,6,7,8

7 0

3 years ago

(y + 4 / 2y) + (y-2 / 3) = (3y^2 + 10 / 6y) for y {-2, 1} {-2, 3} {}

vaieri [72.5K]

Answer:

{-2, 1}

Step-by-step explanation:

$\frac{y+4}{2y} +\frac{y-2}{3} =\frac{3y^2+10}{6y}$

Make the fractions have a common denominator.

$\frac{3}{3} (\frac{y+4}{2y}) +\frac{x}{y} (\frac{y-2}{3}) =\frac{3y^2+10}{6y}\\\frac{3y+12}{6y} +\frac{2y^2-4y}{6y} =\frac{3y^2+10}{6y}\\\frac{2y^2-y+12}{6y} =\frac{3y^2+10}{6y}$

Now that both sides of the equation have a common denominator, you can cancel out the denominators.

$2y^2-y+12=3y^2+10$

Now, set the equation equal to zero and factor.

$2y^2-y+12=3y^2+10\\-y^2-y+2=0\\(-y-2)(y-1)=0\\\\-y-2=0\\y=2\\\\y-1=0\\y=-1$

The y-values are {-2, 1}

6 0

2 years ago

Please help me answer this question. -15 - g/3 = -5. What is g?

olga2289 [7]

Answer:

g = -30

Step-by-step explanation:

-15 - g/3 = -5

Add 15 to each side

-15+15 - g/3 = -5+15

-g/3=10

Multiply by -3 to each side

-g/3 * -3 = 10*-3

g = -30

4 0

3 years ago

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kvasek [131]

Answer: negative slope

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2 years ago

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Help me on this please

m_a_m_a [10]

Answer 1: $y = 35x + 50$

Answer 2: will

Answer 3: $10

Step-by-step explanation:

Equation: $y = 35x + 50$

Registration fee is one time, so you just add to it.

You have to pay each time you go to a session, so x will be the amount of sessions, 35 will be the price of each session.

You can plug in the 8 to the equation, then solve for y:

$y = 35(8) + 50\\y = 280 + 50\\y = 330$

They will be able to pay for it because: $330 < 340$

They will have $10 left because:

$340 - 330 = 10$

340 is how much on the card and 330 is how much the 8 lessons (in total) cost.

7 0

2 years ago