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3 years ago

Multiply the polynomials (x-6)(x2+2x-4)

Mathematics

1 answer:

AysviL [449]3 years ago

7 0

Answer:

x³ - 4x² - 16x + 24

Step-by-step explanation:

Step 1: Write expression

(x - 6)(x² + 2x - 4)

Step 2: Distribute each term

x³ + 2x² - 4x

-6x² - 12x + 24

Step 3: Combine

x³ + 2x² - 4x - 6x² - 12x + 24

Step 4: Combine like terms

x³ - 4x² - 16x + 24

You might be interested in

If a circle has an area of 84π units then what is the measure of its

Tatiana [17]

Answer:

a. 2√21 units

Step-by-step explanation:

Hi there !

Area formula

A = π·r²

replace A

84π = πr²

r² = 84π/π

r² = 84

r² = 2²×3×7

r = √2²×3×7

r = 2√3×7

r = 2√21

Good luck !

6 0

3 years ago

one of the events at the circus starring gabriella the human cannonball. on saturday she performed in four shows shot from a can

saul85 [17]

The total distance would be the sum of these 4 distances.

7.04m+18.81m+18.39m+19.94m=64.18m

4 0

4 years ago

Please help its to hard for me im dume

pentagon [3]

Answer:

8y+100

Step-by-step explanation:

8y+24+76

8y+100

8 0

4 years ago

The mean number of hours per day spent watching television, according to a national survey, is 3.5 hours, with a standard deviat

aleksley [76]

Answer:

4.5 hour and 2 hour

Step-by-step explanation:

Given: The mean number of hours per day spent watching television, according to a national survey, is 3.5 hours, with a standard deviation of two hours.

To Find: If each time was increased by one hour, what would be the new mean and standard deviation.

Solution:

let the total numbers entries of hours in survey be = $\text{N}$

each entry in survey be = $\text{x}_{i}$

mean of survey is = $\mu$ = $3.5$ $\text{hours}$

standard deviation is = $\sigma$ = $2$ $\text{hours}$

if each entry in survey is increased by one hour then,

each new entry in survey is = $\text{x}_{i}+1$

the new mean is $\mu_{new}$ = $\frac{\text{sum of all hours}}{total number of entries}$

$\frac{\text{x}_{1} +1+\text{x}_{2}+1 +....+\text{x}_{N}+1 }{N}$

$\frac{(\text{x}_{1} +\text{x}_{2} +....+\text{x}_{N})+\text{N}\times1 }{N}$

$\frac{(\text{x}_{1} +\text{x}_{2} +....+\text{x}_{N})}{N}$ + $\frac{\text{N}\times1 }{N}$

$\mu_{new}$ = $\mu$ + 1= $4.5$ $\text{hours}$

now,

standard deviation is $\sigma_{new}=$ $\sqrt{\sum_{1}^{N}\frac{(\text{x}_{inew}-\mu_{new})^{2}}{N}}$

$\text{x}_{inew}= \text{x}_{i}+1$

$\mu_{new}=\mu+1$

putting values,

$\sqrt{\sum_{1}^{N}\frac{(\text{x}_{i}+1-\mu-1)^{2}}{N}}$

$\sqrt{\sum_{1}^{N}\frac{(\text{x}_{i}-\mu)^{2}}{N}}$ = $\sigma$

$\sigma_{new}$ =2

new mean and standard deviation are $4.5$ and $2$ $\text{hours}$

5 0

3 years ago

Karina rode her bike up a mountain trail at an average of 4 mph. Then she rode it back down the trail at an average of 20 mph. T

earnstyle [38]

Answer:

36 miles.

Step-by-step explanation:

We have been given that Karina rode her bike up a mountain trail at an average of 4 mph. Then she rode it back down the trail at an average of 20 mph. The entire trip took 3 hours.

$\text{Distance}=\text{Speed}\times \text{Time}$