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3 years ago

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tami's rectangular desk has a perimeter of 160 inches. the length of the desk is 60 inches. Tami said the width of the desk is 1

00 inches, which is incorrect. explain what tamis error is and give the correct width

1 answer:

Natalija [7]3 years ago

5 0

Tami thought that the perimiter is length plus width, which gave her 100. The actual width is 20

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The standard form of a quadratic equation is given as y=ax^2+bx+c and vertex form is given as y=a(x−h)^2+k. Write a formula that

Tju [1.3M]

Answers:

$h = -\frac{b}{2a}\\\\k = \frac{-b^2+4ac}{4a}\\\\$

where 'a' cannot be zero.

=========================================================

Explanation:

The vertex is (h,k)

The x coordinate of the vertex is h which is found through this formula

$x = -\frac{b}{2a}$

For example, if we had the quadratic $y = 3x^2-6x+5$ , then we'll plug in a = 3 and b = -6 to get: $h = -\frac{b}{2a} = -\frac{-6}{2*3} = 1$

------------

To find the value of k, we plug that h value into the original standard form of the quadratic and simplify.

$y = ax^2+bx+c\\\\k = ah^2+bh+c\\\\k = a\left(\frac{-b}{2a}\right)^2+b\left(\frac{-b}{2a}\right)+c\\\\k = a*\frac{b^2}{4a^2}+\frac{-b^2}{2a}+c\\\\k = \frac{b^2}{4a}+\frac{-b^2}{2a}+c\\\\$

$k = \frac{b^2}{4a}+\frac{-b^2}{2a}*\frac{2}{2}+c*\frac{4a}{4a}\\\\k = \frac{b^2}{4a}+\frac{-2b^2}{4a}+\frac{4ac}{4a}\\\\k = \frac{b^2-2b^2+4ac}{4a}\\\\k = \frac{-b^2+4ac}{4a}\\\\$

It's interesting how we end up with the numerator of $-b^2+4ac$ which is similar to $b^2-4ac$ found under the square root in the quadratic formula. There are other ways to express that formula above. We need $a \ne 0$ to avoid dividing by zero. The values of b and c are allowed to be zero.

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3 years ago

Jung wanted to find out which band was most popular among the high school students. Where should he conduct his survey to get th

nikklg [1K]

Answer:

I'd say A

Step-by-step explanation:

Reason: Because B and C are both having bands there and the cafeteria has the students popular opinion where there isn't band influence.

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3 years ago

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Sloan [31]

I think the answer is E

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High Breeze is considering expanding on some land that it currently owns. The initial cost of the land was $364,500 and it is cu

vodka [1.7K]

Answer:

Option A,-$553,000

Step-by-step explanation:

The amount of initial cash flow for this project comprises of current value of the land,the current value of unused equipment,the amount expected to be spent on equipment modifications as well as the cost of other equipment.

Initial cash flows=$357,900+$29,000+$8,200+$157,900=$553,000

The equipment as well as the land are included because they can be sold at their current prices thereby realizing cash proceeds.

Also,the current values show how much would have to pay now to acquire them should be need arises.

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vfvgyfygj

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