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3 years ago

What is the slope of the line represented by the equation 5 y-10 x = -15?

Mathematics

1 answer:

BaLLatris [955]3 years ago

3 0

Answer:

Step-by-step explanation:

Solve for y and look at the coefficient of x.

y -2x = -3 . . . . . . divide by 5

y = 2x -3 . . . . . . add 2x

The coefficient of x is the slope: 2.

_____

On a graph, the slope is the rise divided by the run. For the two marked points on this graph, the rise is 2 and the run is 1, so the slope is ...

m = 2/1 = 2

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Complete parts a through c for the given function.

victus00 [196]

Answer:

a. The critcal points are at

$x=0,-5,3$

b. Then, $x = -5$ is a maximum and $x=3$ is a minimum

c. The absolute minimum is at $x = 3$ and the absolute maximum is at $x = -5.$

Step-by-step explanation:

(a)

Remember that you need to find the points where

$f'(x)=0$

Therefore you have to solve this equation.

$20x^4 + 40x^3 - 300x^2 = 0$

From that equation you can factor out $20x^2$ and you would get

$20x^2 ( x^2 +2x - 15) = 0$

And from that you would have $20x^2 = 0$ , so $x = 0$ .

And you would also have $x^2 +2x-15 = 0$ .

You can factor that equation as $x^2 +2x -15 = (x+5)(x-3) = 0$

Therefore $x=-5 , x=3$ .

So the critcal points are at

$x=0,-5,3$

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

$f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\$

Then, $x = -5$ is a maximum and $x=3$ is a minimum

The absolute minimum is at $x = 3$ and the absolute maximum is at $x = -5.$

6 0

3 years ago

Read 2 more answers

What is the quotient (3x4 + 4x – 15) + (x + 3)?

Hoochie [10]

Answer:

3x-5 and r=0

Step-by-step explanation:

We can do it by long division method the required quotient is 3x-5 and r=0

not 3x-1 , r=1

multiply the divisor with 3x we will get to cancel out the first term of dividend

Now after solving we will get

Now, multiply the divisor by -5 we will get -5x-15 which will cancel the entire dividend.

5 0

3 years ago

What is the decimal equivalent of 61 3/9

Elden [556K]

The equivalent decimal is 61.(3)

7 0

3 years ago

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Can someone help plz

Ivenika [448]

Answer:

X=27

Step-by-step explanation:

$\frac{24}{32} = \frac{30}{40} = \frac{x}{36}$

so x=27

4 0

3 years ago

What is the correct evaluation of 4x2 - 2x + 5, when x is equal to 2?

meriva

Answer:

Step-by-step explanation:

Rewrite the problem

4x2-2(2)+5

2. Solve the problem. Do the multiplication first and then the subtraction and addition

8-2(2)+5

8-4+5

4+5

The final answer is 9

3 0

3 years ago