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3 years ago

How would you graph (on a number line) (x-8)(x-8)<0??

Mathematics

1 answer:

Marta_Voda [28]3 years ago

5 0

Answer:

The graph is the empty number line (no solution)

Step-by-step explanation:

Your expression is (x-8)² < 0. There are no real numbers that give a negative value when squared. There is NO SOLUTION. The graph is empty.

_____

Comment on quadratic inequalities

In general the inequality (x-a)(x-b) < 0 will have a solution when one factor is negative and the other is positive. In general, that will be the case for values of x that are strictly between a and b. In your inequality, that would require you graph numbers that are between 8 and 8. There are none.

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How many ways can a committee chairman choose 4 people for a subcommittee if there are 12 members on the whole committee?

Marina86 [1]

A group of k elements can be chosen from a group of n elements in $\frac{n!}{k!(n-k)!}$ ways.

$(^{12} _4)=\frac{12!}{4!(12-4)!}=\frac{12!}{4! \times 8!}=\frac{8! \times 9 \times 10 \times 11 \times 12}{2 \times 3 \times 4 \times 8!}=\frac{9 \times 10 \times 11 \times 12}{2 \times 3 \times 4}= \\ \\
=3 \times 5 \times 11 \times 3=495$

The answer is B. 495.

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2 years ago

It takes 40 minutes for 8 people to paint 4 walls. How many minutes does it take 10 people to paint 7 walls?

77julia77 [94]

Let's first break it down to the time 8 people need for one wall. That would be 10 minutes, right? If one person would have to do it in stead of 8, you'd expect him to take 80 minutes.

To paint 7 walls, he would nee 7x80 = 560 minutes. 10 people would do that 10 times faster, ie., 56 minutes.

I know puzzles like these always have a mindtrick. Did I miss anything?? ;-)

3 0

2 years ago

− 2/3 (−3 − 9x) A) −2 − 9x B) 2 − 9x C) 2 − 6x D) 2 + 6x

ANEK [815]

Answer:

D 2+6x

Step-by-step explanation:

-2/3(-3-9x)

(-2/3×-3)+(-2/3×-9x)

6/3+18x/3 = 2 + 6x

8 0

2 years ago

Read 2 more answers

In the phone above^

Taya2010 [7]

Answer:

Step-by-step explanation:

3 0

2 years ago

What is the measure of angle Q to the nearest whole degree? 43° 49° 53° 58°

geniusboy [140]

Answer:

m∠Q ≈ 53°

Step-by-step explanation:

To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.

In this situation, 'A' will be ∠Q. Therefore:

17² = 18² + 20² -2(18)(20)cosQ

Simplify:

289 = 324 + 400 -2(360)cosQ

Continue simplifying down:

-435 = -720cosQ

Divide both sides by '-720':

0.604 = cosQ

$cos^{-1}Q = 0.604$

m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.

3 0

2 years ago