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Irina18 [472]
2 years ago
8

What is the product? StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x

Over x squared + 3 x minus 4 EndFraction
Mathematics
2 answers:
zubka84 [21]2 years ago
8 0

Answer:

[x(x - 1)(x - 4)]/(2(x + 4))

Step-by-step explanation:

We want to find;

[(x² - 16)/(2x + 8)] * [(x³ - 2x² + x)/(x² + 3x - 4)]

Now,

x² - 16 can be factorized as;

(x + 4)(x - 4)

Also, 2x + 8 can be factorized as;

2(x + 4)

Also, (x³ - 2x² + x) can factorized as;

x[x² - 2x + 1] = x[(x - 1)(x - 1)]

Also,(x² + 3x - 4) can be factorized out as; (x - 1)(x + 4)

So plugging in these factorized forms into the equation in the question, we have;

[(x + 4)(x - 4)/(2(x + 4))] * [x[(x - 1)(x - 1)] /((x - 1)(x + 4))

This gives;

((x - 4)/2) * x(x - 1)/(x +4)

This gives;

[x(x - 1)(x - 4)]/(2(x + 4))

damaskus [11]2 years ago
4 0

Answer:

[x(x - 1)(x - 4)]/(2(x + 4))

Step-by-step explanation:

its A on edg

StartFraction x (x minus 4) (x minus 1) Over 2 (x + 4) EndFraction

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9. Abby walked 3 km west. Then she walked
masya89 [10]

Answer:

2km

Step-by-step explanation:

- Abby walked 3 km west: Abby is 3km west from her starting point.

- Then she walked  twice as far going east: she walks 6km east so she's 3 km east from her starting point

- She continued east  for another kilometre: She's is 4 km east from her starting point

- Stopping 2 km east  of Lauren's home: She's currently 2 km east from Lauren's home and 4km east from her starting point. Therefore, Abby's starting point is 4km - 2km = 2km west from Lauren's home

8 0
2 years ago
It took Ivan 7 1/2 hours to drive 412.5 miles at a constant speed. How fast was he driving? Show how you know.
damaskus [11]

Answer:

55

Step-by-step explanation:

412.5 / 7.5 =55

5 0
2 years ago
Sam bought brushes for $8, a palette for $5, and oil paints for $15. He paid $29.82 in all. What sales-tax rate did Sam pay?
klio [65]
Total purchased w/o tax: $8 +$5 + $15 = $28
He paid (w/tax) $29.82 so 
$ 29.82 - $28 = $1.82 (sale tax)

Now we need to find the sales tax rate:

$1.82 / $28 * 100 = 0.065 *100% = 6.5%

Double check:

$28 *6.5 / 100  = $1.82

$28 + $ 1.82 =  $29.82 total amount he paid..

So the sales tax rate is 6.5%

7 0
2 years ago
Read 2 more answers
4. Lola is 15 years old and works in a factory every weekend. Why might this be illegal? What are the specific laws protecting L
gulaghasi [49]
This is not illegal because she is 15. in factories you have to be at least 15 years old. but age 16 is the appropriate age for you to work in a factory. 
5 0
2 years ago
What are the quotient and remainder when a) 19 is divided by 7? b) −111 is divided by 11? c) 789 is divided by 23? d) 1001 is di
Dennis_Churaev [7]

Answer:

a) quotient = 2,  remainder = 5

b) quotient = -10,  remainder = -1

c) quotient = 34,  remainder = 7

d) quotient = 77,  remainder = 0

e) quotient = 0,  remainder = 0

f) quotient = 0,  remainder = 3

g) quotient = 0,  remainder = -1

h) quotient = 4,  remainder = 0

Step-by-step explanation:

The relationship between the quotient, remainder and divisor is that the product of the quotient and divisor added to the reminder gives the dividend.

Based on this, when

a)19 is divided by 7 = 19/7

= 2\frac{5}{7}

Hence the quotient is 2, the remainder is 5

Applying the same principle, when

b) −111 is divided by 11

= -10\frac{1}{11}

Hence the quotient is -10, the remainder is -1

c) 789 is divided by 23

=34\frac{7}{23}

Hence the quotient is 34, the remainder is 7

d) 1001 is divided by 13

= 77

Hence the quotient = 77, the remainder is 0

e) 0/19 = 0

Hence the quotient is 0, the remainder is 0

f) 3/5

Hence the quotient is 0, the remainder is 3

g) -1/3

Hence the quotient is 0, the remainder is -1

h) 4/1

Hence the quotient is 4, the remainder is 0

3 0
2 years ago
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