MATHEMATICS HIGH SCHOOL

A rectangular game board is composed of identical squares arranged in a rectangular array of r rows and r+1 columns. The r rows are numbered from 1 through r, and the r+1 columns are numbered from 1 through r+1. If r>10, which of the following represents the number of squares on the board that are neither in the 4th row nor in the 7th column?A. r^2 - r
B. r^2 - 1
C. r^2
D. r^2 + 1
E. r^2 + r

Answers

Answer 1
Answer: The correct answer is A r^2 - r. Here is the procedure to give you an idea on to why is it like that: 
Lets say that total rows : r
And lets say that total columns : r + 1
Now the total squares = r(r+1) ------------(1)
squares in 4th row = r+1
squares in 7th column = r
squares common to above = 1
total squares in 4th row, and 7th column = 2r ------- (2)
Now what we cca do after describing all this facts is that 
- 1 from both row will be r-1
column will be r
and then multiply (will be r*r-1 or r^2-r)!
I hope this can help you greatly

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Pete is conducting a survey to determine his customers’ overall satisfaction about the quality of his company’s products. He sends out surveys to the 5 customers who have purchased the largest number of items over the past year. Are his results likely to be representative of the population he is trying to analyze?

Answers

No.
Because, when to do some sort of analysis (such as this one), you need to take (for example) a RANDOM SAMPLE from the POPULATION of the problem that is being analyzed. In this example (problem), Pete wants to evaluate OVERALL satisfaction of customers, so he should NOT send the surveys ONLY to the customers who have purchased the LARGEST number of items, but to the randomly selected customers, in order to obtain REPRESENTATIVE results of the OVERALL satisfaction. If he sends the surveys only to the customers who have bought the largest number of items, he will obtain VERY HIGH satisfaction of customers, as results, of course, and this will not be representative results.

No.

When trying to analyze an overall satisfaction with Quality of service. The number of population he is analyzing should not be limited to a certain factor. This would cause a narrow data information gather and would not represent the entire population. The surveys should be based randomly to avoid data bias/filters and actual results would be realistic.

What is the polynomial function of lowest degree with lead coefficient 1 and roots i, –2, and 2?f(x) = x4 – 3x2 – 4
f(x) = x3 + x2 – 4x – 4

Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2?
f(x) = –x2 – 8x – 16
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f(x) = –x2 – 8x + 16

Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1
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Answers

In the question "What is the polynomial function of lowest degree with lead coefficient 1 and roots i, –2, and 2?" The given roots are i, -2 and 2. Recall that for any polynomial having complex root, the conjugate of the complex root is also a root of the polynomial, thus -i is also a root of the required equation. Thus the required equation is obtainrd thus: f(x) = (x - i)(x + i)(x - 2)(x + 2) = (x^2 + 1)(x^2 - 4) = x^4 - 4x^2 + x^2 - 4 = x^4 - 3x^2 - 4 In the question "Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2?" The required equation is obtained thus: f(x) = -(x - 4)^2 = -(x^2 - 8x + 16) = -x^2 + 8x - 16 In the question "Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1" Recall that for any polynomial having complex root, the conjugate of the complex root is also a root of the polynomial, thus -2i and -3i are also roots of the required equation. Thus the required equation is obtained thus: f(x) = (x + 2i)(x + 3i)(x - 2i)(x - 3i).

If your company needs to produce 7,800 products by the end of the next 12 weeks, how many products will you need to produce each week to finish on schedule?

Answers

The company will have to produce at least 650 products each week to achieve 7800 products in 12 weeks


(7800 products divided by 12weeks  = 650 products per week)

The probability of drawing a quarter from a bag of coins is 1/10. What is the probability of drawing a coin that is not a quarter from the bag?A.
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B.
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C.
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D.
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Answers

1-1/10 = 9/10
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So the answer is D, or 90%.

Plz answer this question...

Answers

Hello,

1) draw [AB]

2) draw mes (BAB')=78° (|AB|=|AB'| (distance))
draw the circle center B' passant by A.
3)C=middle [BB']

4) draw the half circle with [BB'] as diameter.

5) Intesection of cercle =>D

explain: any right triangle is inscribed in a semicircle

Rem: 78+90=168 and 360-168=192

Am getting the hang of this but I still need help so may I please get help with this equation -7a+6a^2-10

Answers

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I am assuming you are solving to get a zero, in which case a=2
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