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3 years ago

Solve the equation 2x^2+8x-1=0 by completing the square. Give your answer to 2 decimal places 4 marks

Mathematics

1 answer:

ad-work [718]3 years ago

3 0

Answer:

Step-by-step explanation:

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$( {x}^{2} + 16x + 64) - (x + 8)(x - 4) = k(x + 8) \\ ( {x + 8)}^{2} - (x + 8)(x - 4) = k(x + 8) \\ (x + 8) - (x - 4) = k \\ k = (x - x) + (8 + 4) \\ k = 12$

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Jordan invested $600 in a savings account. The interest rate is 6% per year. Find the simple interest earned in 3 years. Then fi

olga2289 [7]

In 3 years $108 in interest is earned

principle + interest = $708

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3 years ago

The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 oun

Ugo [173]

Answer: A) .1587

Step-by-step explanation:

Given : The amount of soda a dispensing machine pours into a 12-ounce can of soda follows a normal distribution with a mean of 12.30 ounces and a standard deviation of 0.20 ounce.

i.e. $\mu=12.30$ and $\sigma=0.20$

Let x denotes the amount of soda in any can.

Every can that has more than 12.50 ounces of soda poured into it must go through a special cleaning process before it can be sold.

Then, the probability that a randomly selected can will need to go through the mentioned process = probability that a randomly selected can has more than 12.50 ounces of soda poured into it =

$P(x>12.50)=1-P(x\leq12.50)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{12.50-12.30}{0.20})\\\\=1-P(z\leq1)\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.8413\ \ \ [\text{By z-table}]\\\\=0.1587$

Hence, the required probability= A) 0.1587

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3 years ago

What shape is a rhombus related to and why

Ksju [112]

A rhombus is related to a “Parallelogram”

Why? - because it fulfills the requirements of a parallelogram: a quadrilateral with two pairs of parallel sides. It goes above and beyond that to also have four equal-length sides, but it is still a type of parallelogram.

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3 years ago

Which graph shows a function where f(2)= 4?

Leni [432]

Answer:

Mickey Mouse was inspired by the pet mouse Disney had as a child.

Mickey was originally going to be named Mortimer! ...

Every U.S. president has posed with Mickey Mouse, save Lyndon Johnson.

Speaking of presidents, Mickey Mouse is the most popular write-in candidate at the voting booth.

Step-by-step explanation:

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