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3 years ago

Write X^-2y^0z^2/xy using only positive exponents

Mathematics

1 answer:

iogann1982 [59]3 years ago

3 0

Answer:

z^2/(x^3y)

Step-by-step explanation:

We assume you want to simplify ...

$\dfrac{x^{-2}y^0z^2}{xy}=x^{-2-1}y^{0-1}z^2=x^{-3}y^{-1}z^2\\\\=\boxed{\dfrac{z^2}{x^3y}}$

_____

<em>Comment on the given expression</em>

What you have written is ...

(x^-2y^0z^2/x)y = yz^2/x^3

The order of operations requires that division and multiplication be done in the order of appearance, so a/xy means (a/x)y unless you put parentheses on the denominator product. Typesetting the expression lets you use the fraction bar for grouping, so parentheses are not needed when that form is used.

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8x - 9 - 5x = 3x - 36 - 18x

makkiz [27]

Answer:

$8x - 9 - 5x = 3x - 36 - 18x \\ 8x - 5x - 9 = 3x - 18x - 36 \\ 3x - 9 = - 15x - 36 \\ 3x = - 15x - 36 + 9 \\ 3x = - 15x - 27 \\ 3x + - 15x = - 27 \\ - 12x = - 27 \\ x = \frac{ 27}{12}$

8 0

3 years ago

Kylie buys cranberries and raspberries in the ratio of 8:9 to prepare mock tails. If she buys 64 ounces of cranberries what is t

xeze [42]

Answer: 136 ounces

Step-by-step explanation:

Given: The ratio of cranberries and raspberries is 8:9 .

Let quantity of cranberries= 8x , quantity of raspberries = 9x

If quantity of cranberries = 64 ounces

$\Rightarrow\ 8x=64\\\\\Rightarrow\ x=\dfrac{64}{8}\\\\\Rightarrow\ x=8$

Quantity of raspberries = 9(8) = 72 ounces

Total quantity = 64 ounces + 72 ounces = 136 ounces

Hence, the total weight of berries purchased= 136 ounces

6 0

2 years ago

A line is passing through (7,-3) and it’s slope is -1/2, white the equation in point slope form

Crank

Equation of the line in point slope form is y + 3 = -1/2(x - 7)

Step-by-step explanation:

Step 1: Given slope of the line is -1/2 and passes through the point (x1, y1) = (7, -3). Equation in point slope form is y - y1 = m(x - x1)

⇒ y - (-3) = -1/2(x - 7)

⇒ y + 3 = -1/2(x - 7)

3 0

3 years ago

Please help me with this question!! I also need the steps

e-lub [12.9K]

Hi there!

$\large\boxed{x = \frac{\pi}{3} \text{ and } \pi}$

We are given:

cos(7x)cos(4x) = -1 - sin(7x)sin(4x)

Begin by moving all terms with variables to one side:

cos(7x)cos(4x) + sin(7x)sin(4x) = -1

The corresponding trig identity is cos(A - B). Thus:

cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1

cos(3x) = -1

cos = -1 at π, so:

3x = π

x = π/3

We can also find another solution. Let 3π = -1:

3x = 3π

x = π

Thus, solutions on [0, 2π) are π/3 and π.

8 0

3 years ago

For problems 29 - 31 the graph of a quadratic function y=ax^2 + bx + c is shown. Tell whether the discriminant of ax^2 + bx + c

Elan Coil [88]

Answer:

29) discriminant is positive

30) discriminant is 0

31) discriminant is negative

Step-by-step explanation:

the graph of a quadratic function y=ax^2 + bx + c is shown. Tell whether the discriminant of ax^2 + bx + c = 0 is positive, negative, or zero.

In the graph of question number 29 we can see that the graph intersects the x axis at two points

so the equation has 2 solutions.

When the equation has two solution then the discriminant is positive

In the graph of question number 30 we can see that the graph intersects the x axis at only one point

so the equation has only 1 solution.

When the equation has only one solution then the discriminant is equal to 0

In the graph of question number 30 we can see that the graph does not intersects the x axis

so the equation has 2 imaginary solutions.

When the equation has two imaginary solutions then the discriminant is negative

3 0

3 years ago