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2 years ago

Complete the statements below that show y = 8x2 + 32x + 17 being converted to vertex form.

Mathematics

1 answer:

vova2212 [387]2 years ago

3 0

Answer:

y = 8(x + 2)^2 + -15

Step-by-step explanation:

Factor out the leading coefficient.

y = 8(x2 + 4x) + 17

Form a perfect-square trinomial.

y = 8(x2 + 4x + 4) + 17 + -32

Write in vertex form.

y = 8(x + 2)^2 + -15

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Sasha has 3.20 in U.S. coins. She has the same number of quarters and nickels. What is the greatest number of quarters she could

RSB [31]

Answer:

10 quarters = $2.50

10 nickels = $0.50

that leaves $0.20 for other coins (dimes / pennies)

Step-by-step explanation:

First, suppose she has only quarters and nickels and no other coins. Then if C is the identical number of coins of each type, then 5C + 25C = 320, so 30C = 320 and 3C = 32, but there is no integer solution to this. So she must have at least one other type of coin.

Assume she has only quarters, nickels, and dimes. Then if D is the number of dimes, 5C + 25C + 10D = 320, which means 30C + 10D = 320, or 3C + D = 32. The smallest D can be is 2, leaving 3C = 30 and thus C = 10. So in this scenario she would have 10 quarters, 10 nickels, and two dimes to make $2.50 + $0.50 + $0.20 = $3.20.

This has to be the highest number, because if she had 11 quarters and 11 nickels, that alone would add up to 11(0.25) + 11(0.05) = $3.30, which would already be too much.

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2 years ago

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Jackson and his children went into a movie theater and where they sell bags of popcorn for $6.50 each and candies for $4 each. J

Lisa [10]

Answer:

There are no possible solutions for this question.

Step-by-step explanation:

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2 years ago

A sports car and a minivan run out of gas and are pushed to the side of the road. Which is easier to push, and why?

nirvana33 [79]

Answer:

The sports car, because it has less mass and therefore less inertia

Step-by-step explanation:

When an object has less inertia it is easier to be put into and out of motion, and a sports car would obviously weigh less than a van.

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2 years ago

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A company manufacturing oil seals wants to establish X and R control charts on the process. There are 25 preliminary samples of

alisha [4.7K]

Answer:

A ) i) X control chart : upper limit = 50.475, lower limit = 49.825

ii) R control chart : upper limit = 1.191, lower limit = 0

Step-by-step explanation:

A) Finding the control limits

grand sample mean = 1253.75 / 25 = 50.15

mean range = 14.08 / 25 = 0.5632

Based on X control CHART

The upper control limit ( UCL ) =

grand sample mean + A2* mean range ) = 50.15 + 0.577(0.5632) = 50.475

The lower control limit (LCL)=

grand sample mean - A2 * mean range = 50.15 - 0.577(0.5632) = 49.825

Based on R control charts

The upper limit = D4 * mean range = 2.114 * 0.5632 = 1.191

The lower control limit = D3 * mean range = 0 * 0.5632 = 0

B) estimate the process mean and standard deviation

estimated process mean = 50.15 = grand sample mean

standard deviation = mean range / d2 = 0.5632 / 2.326 = 0.2421

note d2 is obtained from control table

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2 years ago

The olsen agricultural company has determined that the weight of hay bales is normally distributed with a mean equal to 80 pound

Marina86 [1]

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The standard deviation of the sample mean will be 8/√64 = 1, so you are asking for the probability that the value will be within 2 standard deviations of the mean. This is a number most statistics students are asked to memorize.

Your probability is about 0.9545.

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2 years ago