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3 years ago

Help!! 15 points. Step by step explanation.

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

3 0

Answer: $\bold{f(x)=2\bigg(x+\dfrac{3}{4}\bigg)^2+\dfrac{-25}{8} }$

<u>Step-by-step explanation:</u>

f(x) = 2x² + 3x - 2

$\text{Add 2 to both sides:}\\f(x) + 2 = 2x^2+3x\\\\\\\text{Factor out 2 on the right side:}\\f(x) + 2 = 2\bigg(x^2+\dfrac{3}{2}x\bigg)\\\\\\\text{Add the value that creates a perfect square on the right side:}\\f(x) + 2 + 2\bigg(\dfrac{3}{2\cdot2}\bigg)^2=2\bigg[x^2+\dfrac{3}{2}x+\bigg(\dfrac{3}{2\cdot2}\bigg)^2\bigg]\\\\\\\text{Simplify:}\\f(x)+2+\dfrac{9}{8}=2\bigg(x+\dfrac{3}{4}\bigg)^2\\\\\\\text{Isolate f(x):}\\f(x)=2\bigg(x+\dfrac{3}{4}\bigg)^2+\dfrac{-25}{8}\\$

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Select all the equations where x = 3 is a solution.

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Answer:

Step-by-step explanation:

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3 years ago

A random sample of 60 mathematics majors spent an average of $200.00 for textbooks for a term, with a standard deviation of $22.

tangare [24]

Answer:

20 +/- $6.74

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Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

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Given that;

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Standard deviation r1 = $22.50

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z(at 90% confidence) = 1.645

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3 years ago

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Answer:

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Step-by-step explanation:

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