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3 years ago

9

What is the complete factorization of 8x2 - 8x + 2?

1 answer:

GREYUIT [131]3 years ago

5 0

Complete factorization of $8x^2-8x+2$ is $2(2x-1)^2$ .

Step-by-step explanation:

Given,

$8x^2-8x+2$

Taking 2 common

$2(4x^2-4x+1)$

$2(4x^2-2x-2x+1)\\2[2x(2x-1)-1(2x-1)]\\2(2x-1)(2x-1)\\2(2x-1)^2$

Therefore;

Complete factorization of $8x^2-8x+2$ is $2(2x-1)^2$ .

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What number can I divide 34/42 with what number is divisible with that fraction

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Magnus purchased a new car for $35,865. It depreciates about 3.6% each year. What is the value of the car after 10 years?

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3 years ago

Flaming BBQ Restaurant makes a dipping sauce with 9\text{ mL}9 mL9, space, m, L of hot sauce for every 666 ounces of barbecue sa

ahrayia [7]

Answer:

3 mL of hot sauce mixed with 2 ounces of barbecue sauce

45 mL of hot sauce mixed with 30 ounces of barbecue sauce

12 mL of hot sauce mixed with 8 ounces of barbecue sauce

Step-by-step explanation:

we know that

A restaurant makes a dipping sauce with

$\frac{9}{6}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Simplify

$1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

<u><em>Verify each case</em></u>

case A) we have

6 mL of hot sauce mixed with 10 ounces of barbecue sauce

so

$\frac{6}{10}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

simplify

$0.6\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Compare

$0.6 \neq 1.5$

therefore

This mixture is not the same that as Flaming BBQ's dipping sauce

case B) we have

3 mL of hot sauce mixed with 2 ounces of barbecue sauce

so

$\frac{3}{2}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

simplify

$1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Compare

$1.5 =1.5$

therefore

This mixture is the same that as Flaming BBQ's dipping sauce

case C) we have

45 mL of hot sauce mixed with 30 ounces of barbecue sauce

so

$\frac{45}{30}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

simplify

$1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Compare

$1.5=1.5$

therefore

This mixture is the same that as Flaming BBQ's dipping sauce

case D) we have

24 mL of hot sauce mixed with 18 ounces of barbecue sauce

so

$\frac{24}{18}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

simplify

$1.33\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Compare

$1.33 \neq 1.5$

therefore

This mixture is not the same that as Flaming BBQ's dipping sauce

case E) we have

12 mL of hot sauce mixed with 8 ounces of barbecue sauce

so

$\frac{12}{8}\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

simplify

$1.5\ \frac{mL\ hot\ sauce}{oz\ barbecue\ sauce}$

Compare

$1.5=1.5$

therefore

This mixture is the same that as Flaming BBQ's dipping sauce

6 0

4 years ago