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sertanlavr [38]

3 years ago

5

Given: -1/2x > 4. Choose the solution set. {x | x R, x > -8} {x | x R, x < -8} {x | x R, x > -2} {x | x R, x < -2

}

1 answer:

Liula [17]3 years ago

8 0

Answer:

{x | x R, x < -8}

Step-by-step explanation:

-1/2x > 4

Multiply each side by -2. Remember to flip the inequality since we are multiplying by a negative

-2 * -1/2x < 4*-2

x <-8

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A cube made of an unknown material has a height of 9 cm. The mass of this cube is 3.645 grams. What is the density of this cube?

ehidna [41]

Answer:

$density = \frac{mass}{volume}$

mass = 3.645 g

volume = 9×9×9

= 729 cm³

density = 3.645/729

= 0.005 gcm^-3

Step-by-step explanation:

the volume is 729 cm³ cause the given height is 9cm and it is a cube. cube has equal sides so their lengths are the same.

volume = length × height × width

8 0

3 years ago

If one root of the equation is 4x^2- 2x+p-4 be the reciprocal of other. then find the value of p

SashulF [63]

Answer:

p = 8

Step-by-step explanation:

Let one root of the eqn. be alpha . Other root is 1/alpha .

We know that product of both roots of an quadratic eqn. is c/a where "c" is the co-efficient of the constant & "a" is the co-efficient of x^2.

Here "c" is p-4 & "a" is 4. And the product of roots is 1 ( ∵ prdouct of a number and its reciprocal is 1 )

$\frac{c}{a} = 1\\=> \frac{p - 4}{4} = 1\\=> p - 4 = 4\\=> p = 4 + 4 = 8$

5 0

4 years ago

Please help 22 points

disa [49]

Answer:

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Step-by-step explanation:

4/5 x 2/3 = 8/15

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3 0

3 years ago

Read 2 more answers

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Tatiana [17]

Answer: 9.4

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7 0

2 years ago

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The ratio of water to punch mix is 8 parts to 1 part. If you use 6 gallons of water predict the amount of punch mix to use

Valentin [98]

Answer:

The amount of punch mix to use is 3/4 gallons

Step-by-step explanation:

Let

x ----> parts of water

y ---> parts of punch mix

we know that

$\frac{x}{y} =\frac{8}{1}$

$x=8y$ ----> equation A

That means ---> The parts of water is 8 times the parts of punch mix

If we have 6 gal of water

then

$x=6\ gal$

substitute in the equation A

$6=8y$

solve for y

$y=\frac{6}{8}\ gal$

Simplify

$y=\frac{3}{4}\ gal$

therefore

The amount of punch mix to use is 3/4 gallons

6 0

3 years ago