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2 years ago

Write the quadratic function in the form f (x) = a (x - h)? +k

Mathematics

1 answer:

seraphim [82]2 years ago

5 0

Answer:

f(x) = -3(x - 5)^2 + 4

vertex (5,4)

Step-by-step explanation:

f(x) = -3x² +30x - 71

f(x) = -3(x² +-10x) - 71

f(x) = -3(x² +-10x+5^2-5^2) - 71

f(x) = -3(x² +-10x+5^2) -3(-5^2) - 71

f(x) = -3(x² +-10x+5^2) + 4

f(x) = -3(x - 5)^2 + 4

vertex (5,4)

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soldi70 [24.7K]

A man's inheritance money = $1200

Given :

He shared his inheritance between his 3 sons in the ratio 1:3:6

Then, the money the first son got :

$= \tt \frac{1}{10} \: of \: 1200$

$=\tt \frac{1}{10} \times 1200$

$=\tt \frac{1 \times 120}{10}$

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Money the second son got :

$= \tt \frac{3}{10} \: of \: 1200$

$= \tt \frac{3}{10} \times 1200$

$=\tt \frac{3 \times 1200}{10}$

$= \tt \frac{3600}{10}$

$\color{plum} =\tt \$360$

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Money the third son got :

$=\tt \frac{6}{10} \: of \: 1200$

$=\tt \frac{6}{10} \times 1200$

$= \tt \frac{6 \times 1200}{10}$

$= \tt \frac{7200}{10}$

$\color{plum} = \tt\$720$

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We know that :

The largest share = $720

The smallest share = $120

Difference between the largest and smallest share :

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<h3> ●=> Therefore :</h3>

▪︎<em>The difference between the largest and smallest share = 600</em>

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daser333 [38]

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Step-by-step explanation:

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