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vagabundo [1.1K]
3 years ago
8

PLEASE HELP. Prove that the value of the expression: b (36^5−6^9)(38^9−38^8) is divisible by 30 and 37.

Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0

Answer:

Step-by-step explanation:

First factor the second binomial

38^9 - 38^8 = 38^9 (38 - 1 ) = 38^9(37)

So there's your 37. This whole expression is divisible by 37

Now do the first  binomial

36^5 - (36^4)*6

36^4(36 - 6)

36^4(30) and there's your thirty.

That first term is going to cause a bit of trouble showing that 36^4 * 6 = 6^9

6(36^4) = 6(6^2)^4 = 6^1 * 6^8 = 6^9

So this factors into 30*(36^4)*37*38^9

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Need help with this !!!!
Aleksandr [31]

 y = - 4x + - 8 is equation of slope-intercept form.

What is in slope-intercept form?

  • Given the slope of the line and the intercept it forms with the y-axis, one of the mathematical forms used to derive the equation of a straight line is called the slope intercept form.
  • Y = mx + b, where m is the slope of the straight line and b is the y-intercept, is the slope intercept form.

the equation of slope - intercept form

                               y = mx + c

( -1 , -4 ) is point shown in graph

            slope = -y/x

                     = - ( -4)/-1  = 4/-1 = -4

             - 4 = -4 * - 1 + c

            - 4 = 4 + c

            c = - 4 - 4 = - 8

put value of c in the equation of slope - intercept form

             y = - 4x + - 8

Learn more about slope-intercept form

brainly.com/question/9682526

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8 0
1 year ago
There are two boxes containing red and blue balls. For box A, there are 3red balls and 7blue balls. For box B, there are 6red ba
Brums [2.3K]

Answer:

0.3333 = 33.33% probability that this red ball is from box A.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Red ball

Event B: From box A.

Probability of a red ball:

3/10 = 0.3 of 1/2 = 0.5(box A)

6/10 = 0.6 of 1/2 = 0.5(box B). So

P(A) = 0.3*0.5 + 0.6*0.5 = 0.45

Probability of a red ball from box A:

0.3 of 0.5, so:

P(A \cap B) = 0.3*0.5 = 0.15

What is the probability that this red ball is from box A?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.45} = 0.3333

0.3333 = 33.33% probability that this red ball is from box A.

8 0
3 years ago
1. 15 - (r +3 - 4) for r=3<br> @ 10<br> ® 7<br> 015
chubhunter [2.5K]

Answer:

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Step-by-step explanation:

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klasskru [66]

Answer:

0.0000007 as a regular notation

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3 0
2 years ago
ASAP PLEASE HELP!! “Find the quotient”
elena-14-01-66 [18.8K]

Answer:

The quotient is \frac{x(2x-3)}{7} answer (D)

Step-by-step explanation:

\frac{2x-3}{x} ÷ \frac{7}{x^{2} }

In division with fractions we reverse the fraction after division sign and change division sign to multiplication sine

\frac{2x-3}{x} × \frac{x^{2} }{7}

\frac{2x-3}{1} × \frac{x}{7}

\frac{x(2x-3)}{7}

4 0
3 years ago
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