Verify the property a x (b+c) =(a x b)+(a x c) by taking: a = -7, b = (2/5), c = (-3/7)

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each sale

gulaghasi [49]

Answer:

12 sales

Step-by-step explanation:

7 0

3 years ago

Which of the following functions is graphed below

Lelechka [254]

Calculate the function values for x = 2

$y=x^2+4\\\\for\ x=2\to y=2^2+4=4+4=8\to(2,\ 8)\\\\y=-x+4\\\\for\ x=2\to y=-2+4=2\to(2,\ 2)$

Look at the picture.

Answer:

$C.\ \left\{\begin{array}{ccc}x^2+4&.\ x$

5 0

3 years ago

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Imagine that after washing 5 distinct pairs of socks, you discover that two socks are missing. of course, you would like to have

Whitepunk [10]

solution:

You have only two qualitatively different outcomes possible. Count

the number of ways to get each of the two.

There are just two possible outcomes here: the two missing socks

make a pair (the best case) and the two missing stocks do not make a

pair (the worst case). The total number of different outcomes (the ways

to choose the missing socks) is 10 C 2 = 45.

The number of best-case ones is 5; hence its probability is 5 /45 = 1/9

The number of worst-case ones is 45 − 5 = 40; hence its probability is 40/45 = 8/9.

On average, you should expect 4 • 1/ 9 + 3 • 8 /9 = 28/ 9 = 3 1/ 9 matching pairs.

4 0

3 years ago

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Evaluate each expression. Determine if the final simplified form of the expression is positive or negative. -4^2 (-4)^2 4^2

SVEN [57.7K]

Whenever a number is squared, <em />it will <em>always be </em><em />positive. So since you have -4^2 up there, it will equal the exact same as 4^2 does, which is plainly the positive number 16. This is because a negative multiplied by one other negative is always a positive (-4*-4 = 16). So for every expression you've got, -4^2, (-4)^2, and 4^2, they all have positive simplified results.

5 0

3 years ago

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In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding questio

Artyom0805 [142]

Answer: The correct option is

(C) 26.

Step-by-step explanation: Given that in a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question.

All the 10 questions on the quiz are worth a total of 360 points.

We are to find the worth of the third question in points.

Since each question after the first is worth 4 points more than the preceding question, so this will make an arithmetic sequence with

first term a, common difference, d = 4 and number of terms, n = 10.

We know that, in an A.P. with first term a and common difference d,

$\textup{nth term, }a_n=a+(n-1)d,\\\\\textup{sum of first n terms, }S_n=\dfrac{n}{2}\{2a+(n-1)d\}.$

According to the given information,

$\textup{sum of first 10 terms, }S_n=360\\\\\Rightarrow \dfrac{10}{2}\{2a+(10-1)4\}=360\\\\\Rightarrow 5(2a+36)=360\\\\\Rightarrow 10(a+18)=360\\\\\Rightarrow a+18=36\\\\\Rightarrow a=36-18\\\\\Rightarrow a=18.$

Therefore, the third term of the sequence is

$a_3=a+(3-1)d=18+2\times4=18+8=26.$

Thus, the third question worth 26 points.

Option (C) is CORRECT.

7 0

3 years ago