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2 years ago

Y = -(x+5)2 + 9 into standard form

Mathematics

1 answer:

mote1985 [20]2 years ago

4 0

Answer:

y = -2x - 1

Step-by-step explanation:

y = -(x+5)2 + 9

Foil method to get rid of parenthesis

y= -2x - 10 + 9

y = -2x - 1

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Step-by-step explanation:

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4 years ago

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3 years ago

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Write each set of fractions with the lowest common denominator and then find which fraction is greater. 4/7 and 5/8 3/8 and 4/9

Elan Coil [88]

Answer:

$\frac{32}{56}\ < \frac{35}{56}$

$\frac{27}{72} \ < \frac{32}{72}$

$\frac{20}{24}\ < \frac{21}{24}$

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Step-by-step explanation:

Given that,

First set of fraction is $\frac{4}{7}\ and \ \frac{5}{8}$ .

Second set of fraction is $\frac{3}{8}\ and \ \frac{4}{9}$ .

Third set of fraction is $\frac{5}{6}\ and \ \frac{7}{8}$ .

Fourth set of fraction is $\frac{3}{10}\ and \ \frac{4}{15}$ .

Now,

Considering the first set of fraction:

LCM of 7 and 8 is 56. Now, multiply by 8 to both numerator and denominator to $\frac{4}{7}$ . and multiply by 7 to both the numerator and denominator to $\frac{5}{8}$ . We get new set of fraction as $\frac{32}{56}\ and\ \frac{35}{56}$ .

∴ $\frac{32}{56}\ < \frac{35}{56}$

Again considering the second set of fraction:

LCM of 8 and 9 is 72. Now, multiply by 9 to both the numerator and denominator to $\frac{3}{8}$ . and multiply by 8 to both the numerator and denominator to $\frac{4}{9}$ . We get new set of fraction as $\frac{27}{72} \ and \ \frac{32}{72}$ .

∴ $\frac{27}{72} \ < \frac{32}{72}$ .

Again considering the third set of fraction:

LCM of 6 and 8 is 24. Now, multiply by 4 to both the numerator and denominator to $\frac{5}{6}$ . and multiply by 3 to both the numerator and denominator to $\frac{7}{8}$ . We get the new set of fraction as $\frac{20}{24}\ and \ \frac{21}{24}$ .

∴ $\frac{20}{24}\ < \frac{21}{24}$ .

Again considering the fourth set of fraction:

LCM of 10 and 15 is 30.Now, multiply by 3 to both the numerator and denominator to $\frac{3}{10}$ . and multiply by 2 to both the numerator and denominator to $\frac{4}{15}$ .We, get the new set of fraction as $\frac{9}{30}\ and \ \frac{8}{30}$ .

∴ $\frac{9}{30}\ >\frac{8}{30}$

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4 years ago

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Sliva [168]

Answer:

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Step-by-step explanation:

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3 years ago

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