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3 years ago

I NEED HELP PLEASE, THANK YOU! :)

Mathematics

1 answer:

Katen [24]3 years ago

5 0

Answer: b) ±1, ±2, ±7, ±14, ±1/3, ±2/3, ±7/3, ±14/3

<u>Step-by-step explanation:</u>

The possible rational roots are all of the factors of P (coefficient of last term) divided by each of the factors of Q (coefficient of first term).

-3x⁴ - 9x³ - 6x² - 8x + 14

$\dfrac{P}{Q}=\dfrac{factors\ of\ 14}{factors\ of\ 3}=\pm \dfrac{1,2,7,14}{1,3}\\\\\\=\pm \bigg\{\dfrac{1}{1},\dfrac{2}{1},\dfrac{7}{1},\dfrac{14}{1}, \quad \dfrac{1}{3}, \dfrac{2}{3}, \dfrac{7}{3}, \dfrac{14}{3}\bigg\}\\\\\\=\pm \bigg\{1, 2, 7, 14, \quad \dfrac{1}{3}, \dfrac{2}{3}, \dfrac{7}{3}, \dfrac{14}{3}\bigg\}$

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2 years ago

A tire maker produces 20000 tires to be shipped. they inspect 200 of the tires and find that 16 or defective. how many tires of

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3 years ago

Graphically, a point is a solution to a system of two inequalities if and only if the point lies in the shaded region of the top

SOVA2 [1]

Answer:

lies in the shaded regions of both the top and bottom inequalities

Step-by-step explanation:

For a point to be a solution of two inequalities, it must lie in both solution sets. It ...

lies in the shaded regions of both the top and bottom inequalities

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3 years ago

Read 2 more answers

Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP

-Dominant- [34]

Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

The sphere is inside the cylinder.

Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

That is h = 2d. From the above option, we know that h = d.

So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

From option A, we have h = d.

Substitute d = 2r, we get

⇒ h = 2r

Divide by 2 on both sides, we get

$$\Rightarrow \frac{h}{2}=r$

Therefore, it is true.

Option D: The diameter of the sphere is equal to the radius of the cylinder.

It is not true, because diameters of both cylinder and sphere are equal.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Radius of cylinder and sphere = r

Height of cylinder h = 2r (by option C)

Volume of cylinder = Volume of sphere

$$\Rightarrow \pi r^2 h = \frac{4}{3} \pi r^3$ (formula)

$$\Rightarrow \pi r^2 (2r) = \frac{2\times2}{3} \pi r^3$

$$\Rightarrow 2 \pi r^3= \frac{2}{3} \times 2\pi r^3$

Hence it is true.

Option A, option C and option E are true.

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3 years ago

Read 2 more answers

1. reduce 15/40

IrinaVladis [17]

Answer:

1. 3/8

2.2/3

That’s the answer. I’m positive!!

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