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3 years ago

What is the value of this expression when a=3 and b=-2?

Mathematics

2 answers:

navik [9.2K]3 years ago

4 0

You can put the numbers where the variables are and do the arithmetic, or you can simplify the expression first. In the latter case, you have
(3a^(-2-(-1))b^(6-5)/2)^2 = (3a^(-1)b^1/2^2 = (3b/(2a))^2
= (3(-2)/(2(3)))^2 = (-1)^2 = 1

The value of the expression is 1.

erica [24]3 years ago

3 0

Answer:

The test answer is 1.

Step-by-step explanation:

My answer was incorrect and the test said 1 was the correct answer, i apologize.

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The school that Jack goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 9 seni

raketka [301]

Answer:

Price of a senior citizen ticket is $4 and price of a student ticket is $15 .

Step-by-step explanation:

Let us assume that the price a senior citizen ticket be x .

Let us assume that the price a student citizen ticket be y .

As given

The school that Jack goes to is selling tickets to a choral performance.

On the first day of ticket sales the school sold 9 senior citizen tickets and 8 student tickets for a total of $156.

Equtaions becomes

9x + 8y = 156

As given

The school took in $163 on the second day by selling 7 senior citizen tickets and 9 student tickets.

Equations becomes

7x + 9y = 163

Multipy 9x + 8y = 156 by 9 .

81x + 72y = 1404

Multiply 7x + 9y = 163 by 8 .

56x + 72y = 1304

Subtracted 56x + 72y = 1304 from 81x + 72y = 1404 .

81x - 56x + 72y - 72y = 1404 - 1304

25x = 100

$x = \frac{100}{25}$

x = $ 4

Putting value of x in the 56x + 72y = 1304 .

56 × 4 + 72y = 1304

224 + 72y = 1304

72y = 1304 - 224

72y = 1080

$y = \frac{1080}{72}$

y = $15

Therefore the price of a senior citizen ticket is $4 and price of a student ticket is $15 .

5 0

3 years ago

Subtract: (-3x - 2) - (7x + 9)

Dennis_Churaev [7]

Answer:

- 10x - 11

Step-by-step explanation:

- 3x - 2 - 7x - 9

- 3x - 7x - 2 - 9

= - 10x - 11

hope it helps!

3 0

3 years ago

What is the probability that 4 randomly selected people all have different birthdays? Ignore leap years, and round your final an

Flauer [41]

Answer:

(D)0.9836

Step-by-step explanation:

There are 365 days in a year.

Since each person has a different birthday:

We can choose a birthday for the first person 365 out of 365 days.
We can choose a birthday for the second person 364 out of 365 days.
We can choose a birthday for the third person 363 out of 365 days.
We can choose a birthday for the fourth person 362 out of 365 days.

Therefore,

P(4 randomly selected people all have different birthdays)

$=\dfrac{365}{365} \times \dfrac{364}{365} \times \dfrac{363}{365} \times \dfrac{362}{365}\\\\=0.9836$

8 0

3 years ago

Negative sixteen plus the quotent of a number and 2 is 35

const2013 [10]

-16 + (n/2)=35 quotent means divide

8 0

3 years ago

Puppy is tied to a leash in a backyard his leash is 3 m long and he runs around in circles pulling a leash as far as it can go w

xeze [42]

6pi or 18.85 m because you need to find the circumference of a circle with radius 3.

3 0

3 years ago