MATHEMATICS HIGH SCHOOL

If x^5y^4z^2 <0 , which of the following must be true?I xy <0
II yz <0
III xz <0

Answers

Answer 1
Answer: x^5y^4z^2 < 0\n\ny^4\geq0\ for\ y\in\mathbb{R}\n\nz^2\geq0\ for\ y\in\mathbb{R}\n\nx^5 > 0\ for\ y\in\mathbb{R^+}\ and\ x^5 < 0\ for\ x\in\mathbb{R^-}\n\n------------------------------\n\nx^5\underbrace{y^4z^2}_(> 0) < 0\iff x^5 < 0\Rightarrow xy < 0\ \wedge\ xz < 0\n\n------------------------------\n\nAnswer:I\ xy < 0\ and\ III\ xz < 0.

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Option A

Solve the multi-step equation by combining like terms and using inverse operations and the properties of equality.Equation: –4x – 5 + 2x = –11

What is the value for x?

Answers

The value of x for the expression -4x - 5 + 2x = -11 is 3.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

-4x - 5 + 2x = -11 is an equation.

We have,

-4x - 5 + 2x = -11

Combine like terms.

-2x - 5 = -11

Add 5 on both sides.

-2x = -11 + 5

-2x = -6

Divide both sides by -2.

x = 3

Thus,

The value of x is 3.

Learn more about equations here:

brainly.com/question/17194269

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Answer:

x = 3

Step-by-step explanation:

-4x - 5 + 2x = -11

add 5 to both sides and cancel the -5 on the left

-4x + 2x = -6

combine -4x and 2x

-2x = -6

divide both sides by -2 and cancel the -2 on the left

x = 3

Mr.mays drove 20 miles in 24 minutes. At this rate ,how many miles did he drive in 6 minuts

Answers

20 miles .... 24 minutes
x miles ... 6 minutes

We would like to know how many miles did he drive in 6 minutes (x miles). You can calculate this in the following way:

20 * 6 = 24 * x
120 = 24 * x     /24
x = 120 / 24
x = 5 (miles)

The result is 5 miles.

The formula for the area of a trapezoid is A=1/2h (b1+b2) express b1 in terms of A, h, and b2

Answers

A=1/2h(b₁+b₂)
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(b₁+b₂)=2A/h
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What is the surface area? I can't figure it out...

Answers

Answer: wouldn't be 18 m because half is 9 m.

HOPE THIS HELPS :D

Answer:

A≈926.54

Step-by-step explanation:

π r 2 + π L r , \pi r^2 + \pi L r, πr2+πLr, where r denotes the radius of the base of the cone, and L denotes the slant height of the cone.Using the formulas

A=πrl+πr2

l=r2+h2

Solving forA

A=πr(r+h2+r2)=π·9·(9+222+92)≈926.54225

Which of the following values "completes the square," or creates a perfect square trinomial, for x2 − 8x + ___?8
16
–8
–16

Answers

Perfect\ square:\ (x\pm y)^2=x^2\pm2xy+y^2\ntherefore\nx^2-OK\n-8x=-2\cdot x\cdot 4\n4^2=16\n\nconclusion\n\nx^2-8x+\boxed{?}=x^2-2\cdot x\cdot4+\boxed{4^2}=x^2-8x+16\n\nYour\ answer:\boxed{\boxed{16}}

Answer: 16

Step-by-step explanation: A more simple approach is realizing that the blocks show 8 x tiles and 1 x^2 tile. The 8 x tiles are on either side of the x^2 tile which is 4 x tiles on each side. So as we can see we can multiply each side together. 4x4 = 16. So that is how you get 16 without having to work it out.

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