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adell [148]
3 years ago
10

Please help!! 15 Points!

Mathematics
1 answer:
garri49 [273]3 years ago
6 0

Step-by-step explanation:

8x^3 y^-2 z^-4/6x^-1 yz^-5 =

4/3 (x^4 y^-3 z)

or

4x^4 y^-3 z/3

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Which equation represents a proportional relationship?
elixir [45]

Answer

y=2/3

Step-by-step explanation:

between two variables when their ratios are equivalent

6 0
2 years ago
Which expression shows 36 + 63 as the product of their greatest common factor and the sum of two whole numbers with no common fa
jarptica [38.1K]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~

The first thing we know is that all the answers equal 99, so we cannot cross any answer off, however, what we want to know is what answer (after distribution) looks like 36 + 63...

A.) 11(3 + 6) > 33 + 66

Does 33+66 look like 36+63?

NO

B.) 9(4 + 7) > 36 + 63

Does 36+63 look like 36+63?

YES

C.) 11(4 + 5) > 44 + 55

Does 44+55 look like 36+63?

NO

D.) 3(15 + 18) > 45 + 54

Does 45+54 look like 36+63?

NO

So...

The answer is: B.) 9(4 + 7)


4 0
3 years ago
What is the value of the red dot on the number line below?
Mila [183]

Answer:

B, 9.625

Step-by-step explanation:

I know there's a more surefire method of doing this problem but since this is multiple choice, you can use process of elimination to solve it.

4 0
3 years ago
Read 2 more answers
Can someone please explain how to get the answer I've watched multiple videos on implicit derivatives and I still cant figure it
Arisa [49]

We're given the implicit equation

x² + 2x + y² - 4y = 12

where "implicit" means that one of the variables is considered a function of the other. In this case, the variable y = y(x) depends on the value of the variable x - in other words, the possible values of y are implied by the value of x. We then say that this equation defines y as an implicit function of x.

We're also given the implicit derivative,

dy/dx = (-2x - 2)/(2y - 4)

which tells us the rate of change y as a function of both x and y. The value of dy/dx corresponds to the slope of the tangent line to the curve defined by the implicit equation above at some point (x, y).

The tangent line is horizontal when its slope is zero. This happens when

(-2x - 2)/(2y - 4) = 0

If y ≠ 2, then we can eliminate the denominator and we're left with

-2x - 2 = 0

Solve for x :

-2x = 2

x = -1

This tells us that the points on the curve with x-coordinate -1 have a tangent line to the curve that is horizontal.

The tangent line is vertical when its slope is undefined/infinite, or equivalently when the denominator of dy/dx is zero:

2y - 4 = 0

Solve for y :

2y = 4

y = 2

So any point on the curve with y-coordinate 2 will have a tangent line there that is vertical.

By completing the square in the implicit equation, we can easily identify where these points are located.

x² + 2x + y² - 4y = 12

x² + 2x + 1 + y² - 4y + 4 = 17

(x + 1)² + (y - 2)² = 17

This equation defines a circle centered at (-1, 2) with radius √17. When x = -1, we have

(y - 2)² = 17   ⇒   y = 2 ± √17

and when y = 2, we have

(x + 1)² = 17   ⇒   x = -1 ± √17

See the attached plot to see the circle and the tangents at these points.

7 0
2 years ago
The graph of a quadratic function f(x) intersects the x-axis At -3 and 5. Create a function that would produce these results.
FinnZ [79.3K]

Answer:

f(x) = x² - 2x - 15

Step-by-step explanation:

∵ The function intersect x-axis at -3 and 5

∴ f(x) = 0 at x = -3 , 5

∵ The form of the quadratic equation is ⇒ ax² + -b/a x + c/a = 0

                                                                       ax² - b/a x + c/a = 0

Where the sum of its roots is b/a and their multiplication is c/a

∵ a = 1

∵ -3 , 5 are the roots of the quadratic equation

∴ b = -3 + 5 = 2

∴ c = -3 × 5 = -15

∴ f(x) = x² - 2x - 15

6 0
3 years ago
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