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DanielleElmas [232]
2 years ago
5

Order these from least to greatest

Mathematics
2 answers:
raketka [301]2 years ago
5 0
1,4,5,2,3. Division is basically subtraction when it comes to exponents so x to the point of one minus -3 becomes 4, etc.
Mars2501 [29]2 years ago
4 0
Answer: 1,4,5,2,3. I’m pretty sure it’s correct cuz I checked my answer with the other person who solved it.
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Please answer this math question.
Temka [501]
Multiply (x/6) by 6 to get common denominators and then you can simplify equation to 6x=15, divide each side by 6 answer is x=2.5 or 5/2
6 0
3 years ago
What is the range of f?
zhannawk [14.2K]

Answer: [-3,7]

Step-by-step explanation:

The range of a function is the set of y-values

4 0
2 years ago
Find the point on the parabola y^2 = 4x that is closest to the point (2, 8).
guapka [62]

Answer:

(4, 4)

Step-by-step explanation:

There are a couple of ways to go at this:

  1. Write an expression for the distance from a point on the parabola to the given point, then differentiate that and set the derivative to zero.
  2. Find the equation of a normal line to the parabola that goes through the given point.

1. The distance formula tells us for some point (x, y) on the parabola, the distance d satisfies ...

... d² = (x -2)² +(y -8)² . . . . . . . the y in this equation is a function of x

Differentiating with respect to x and setting dd/dx=0, we have ...

... 2d(dd/dx) = 0 = 2(x -2) +2(y -8)(dy/dx)

We can factor 2 from this to get

... 0 = x -2 +(y -8)(dy/dx)

Differentiating the parabola's equation, we find ...

... 2y(dy/dx) = 4

... dy/dx = 2/y

Substituting for x (=y²/4) and dy/dx into our derivative equation above, we get

... 0 = y²/4 -2 +(y -8)(2/y) = y²/4 -16/y

... 64 = y³ . . . . . . multiply by 4y, add 64

... 4 = y . . . . . . . . cube root

... y²/4 = 16/4 = x = 4

_____

2. The derivative above tells us the slope at point (x, y) on the parabola is ...

... dy/dx = 2/y

Then the slope of the normal line at that point is ...

... -1/(dy/dx) = -y/2

The normal line through the point (2, 8) will have equation (in point-slope form) ...

... y - 8 = (-y/2)(x -2)

Substituting for x using the equation of the parabola, we get

... y - 8 = (-y/2)(y²/4 -2)

Multiplying by 8 gives ...

... 8y -64 = -y³ +8y

... y³ = 64 . . . . subtract 8y, multiply by -1

... y = 4 . . . . . . cube root

... x = y²/4 = 4

The point on the parabola that is closest to the point (2, 8) is (4, 4).

4 0
2 years ago
Describe the scale of the graph
IRINA_888 [86]

Answer:

Step-by-step explanation:

You could talk about how how or low it goes.

For instance: if the graph was going very high then suddenly low you could say that it was going very high until it suddenly dropped.

HOPE I HELPED.

PLZ give me a brainiest

GOOD LUCK

8 0
3 years ago
I AM STUCK!!! PLEASE HELP!!!!!
mixer [17]
A = 0.1
B = 50.9

These are rounded to the nearest tenth
8 0
3 years ago
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