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3 years ago

Factor completely: 21) x2 – 2x - 8

Mathematics

1 answer:

mojhsa [17]3 years ago

4 0

Answer: x = -2 and 4

Step-by-step explanation:

x^2 - 2x - 8 = 0

(x - 4)(x + 2) = 0

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PART1

Mice21 [21]

Part 1: $\frac{5x^{3} + 10x^{2} + 15x}{5x} = \frac{5x^{3}}{5x} + \frac{10x^{2}}{5x} + \frac{15x}{5x} = x^{2} + 2x + 3$
The answer is C.

Part 2: $\frac{3x^{4} + 5x^{2} + 2x}{x} = \frac{3x^{4}}{x} + \frac{5x^{2}}{x} + \frac{2x}{x} = 3x^{3} + 5x + 2$
The answer is A.

8 0

3 years ago

Let t(x) = 3x-8 and s(t(x)) = x^2 + 3x - 2. Find s(1).

ratelena [41]

<h3>Answer: 16</h3>

=============================================================

Explanation:

Equate s(t(x)) and s(1) to find that t(x) = 1 must be the case.

Let's find what x must be.

t(x) = 3x-8

1 = 3x-8

1+8 = 3x

9 = 3x

3x = 9

x = 9/3

x = 3

So plugging x = 3 into t(x) gets us t(x) = 1

In other words, t(3) = 1

So that tells us s(t(3)) = s(1)

-------------

Let's plug x = 3 into the s(t(x)) equation

s(t(x)) = x^2 + 3x - 2

s(t(3)) = (3)^2 + 3(3) - 2

s(1) = 9 + 3(3) - 2

s(1) = 9 + 9 - 2

s(1) = 18 - 2

s(1) = 16

7 0

3 years ago

a plumber is hired to stop leaks in a bathroom the faucet drips every six seconds the shower drips every 9 seconds if both fixtu

kenny6666 [7]

Answer:

Step-by-step explanation:

The LCD of 6 and 9 is 18.

6: 6, 12, 18

9: 9, 18

5 0

3 years ago

Solid metal support poles in the form of right cylinders are made out of metal with a density of 7.3 g/cm^3 3 . This metal can b

sattari [20]

The cost of the metals from the calculations performed is $ 402421.

<h3>What is density?</h3>

Density can be explained as a quantity having mass per unit volume and this can be calculated as:

Mass of the metal = ?

Density of the metal = 7.3 g/cm^3

height of the metal = 610 cm

radius of the metal = 8.7 cm

Volume of a cylinder can be calculated by using the formular below:

$(\pi r^2h )$ And this can be used by inserting the given values which is

$= 3.142 * (8.7)^2 * 610 cm = 145068.97cm^3$

Then we can calculate the mass as :

Mass = (density * volume)

$= (7.3 g/cm3 * 145068cm^3)\\\\=1059003kg$

=Since the cost is $0.38 per kilogram, then 3657 Kg costs

;( 1059003kg * $0.38)

= $ 402421

Learn more about density at: brainly.com/question/1578538

#SPJ1

6 0

1 year ago

2a^3+a^2–17–3a^2+a^3–a –80

adelina 88 [10]

Answer:

=3a^3−2a^2−a−97

Step-by-step explanation:

3 0

2 years ago