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2 years ago

4 && 5 struggling.... little difficult

Mathematics

1 answer:

zlopas [31]2 years ago

3 0

I can’t answer 5 because I don’t know what was in Example two, but I can tell you how to graph the equation y = -200x + 2400!

This equation is in slope intercept form, which means that the number next to the variable is the rate of change and the number added onto the first term is the initial value. Since your initial value is 2400, your first point will be at (0, 2400). Each time x increases by 1, y will decrease by 200 (because the rate of change is -200). So your second point will be (1, 2200) and so on.

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Step-by-step explanation:

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2 years ago

Evaluate y^2+7y-8 when y=-3

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Step-by-step explanation:

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3 years ago

Find all solutions to the following system of equations -y²+6y+x-9=0 ; 6y=x+27.Illustrate with a graph.

Dimas [21]

Answer:

The solution to the system is the pair (9, 6)

Step-by-step explanation:

Hi!

First, let´s write the system of equations:

-y² + 6y + x -9 = 0

6y = x +27

The solutions of the system are the pairs (x, y) that satisfy both equations.

Let´s take the second equation and solve it for x:

6y = x +27

Subtract 27 from both sides of the equation

6y - 27 = x

Now, we can replace x in the first equation and solve it for y:

-y² + 6y + x -9 = 0

-y² + 6y + 6y - 27 -9 = 0

-y² + 12y - 36 = 0

Notice that -y² + 12y - 36 = -(y - 6)², then:

-(y - 6)² = 0

y - 6 = 0

y = 6

(alternatively you can solve the quadratic equation using the quadratic formula).

Now let´s find the value of x:

x = 6y -27

x = 6·6 -27

x = 9

The solution to the system is the pair (9, 6)

Please see the attached figure. The point where the curves intersect is the solution to the system.

6 0

2 years ago

Select the correct answer.

musickatia [10]

Answer:

x = 0

Step-by-step explanation:

ln x + 5, similarily to ln x, has no right asymptote, because it goes to infinity (very slowly), but also any line y=ax+b raises faster than ln x for positive a.

It has a left asymptote though - ln x deacreases very fast as x approaches 0, so it has a vertical asymptote of x = 0.

3 0

2 years ago

Can someone help and explain how you got the answer? Thanks^^

andreyandreev [35.5K]

Answer:

C) (0,5)

Step-by-step explanation:

f(x) is y and x is x

The table is providing you with points

y-y over x-x gives you a slope of -5

Use the points and turn it into a point-slope equation and convert to y-intercept equation

y-15=-5(x+2)

y-15=-5x-10

y=-5x+5

So the y-intercept is 5 or (0,5)

5 0

3 years ago