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2 years ago

Where on a number line is the set of numbers x for which:

Mathematics

1 answer:

sattari [20]2 years ago

3 0

$a)\\|x| < 1\iff x < 1\ \wedge\ x > -1\\\\b)\\|x| < 5\iff x < 5\ \wedge\ x > -5\\\\c)\\|x| > 3\iff x > 3\ \vee\ x < -3$

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Which of the following expressions are equivalent to the expression below?

sergejj [24]

Answer:

8(x+4y)

8x+32y

Step-by-step explanation:

please mark me as brainlest

7 0

2 years ago

Suppose the value of a car depreciates 8% every year. To the nearest dollar, what will a car that cost $23,995 be worth after 5

Vanyuwa [196]

Answer:

<em>The car will worth $15815 after 5 years.</em>

Step-by-step explanation:

The formula is: $A=P(1+r)^t$ , where P = Initial cost, A = Final cost, r = Rate of change in cost per year and t = Number of years.

Here, $P= 23995, t= 5$

and $r= 8\%=0.08$

As here the <u>value of the car depreciates every year, so we need to plug the value of $r$ as negative</u>. So, $r=-0.08$

Now plugging the above values into the formula, we will get.....

$A=23995(1-0.08)^5\\ \\ A=23995(0.92)^5\\ \\ A=15814.6611... \approx 15815$

<em>(Rounded to the nearest dollar)</em>

So, the car will worth $15815 after 5 years.

8 0

3 years ago

What does Point P on the number line represent? (Use the hyphen for negative numbers, such as −9)

m_a_m_a [10]

Answer:

-5

Step-by-step explanation:

considering they are counting in whole numbers it should be -5

4 0

2 years ago

Combine like terms. x^2y-3xy^2-6x^2y

balu736 [363]

The result after combining like terms is: $-5x^2y-3xy^2$

Step-by-step explanation:

Given expression is:

$x^2y-3xy^2-6x^2y$

The like terms are those terms with whom the variable or product of variables is same.

As in the given expression, first and third, both terms have x^2y so both terms are like terms

Combining like terms, means the indicated operation is performed on them

So,

Combining like terms:

$x^2y-6x^2y-3xy^2\\= -5x^2y-3xy^2$

Hence,

The result after combining like terms is: $-5x^2y-3xy^2$

Keywords: Expressions, polynomials

Learn more about polynomials at:

#LearnwithBrainly

3 0

2 years ago

A shopkeeper bought wheat for rs.35000. Due to leakage in the godown 1/7 of the total wheat was spoiled. He sold the good wheat

sladkih [1.3K]

<h2>Question: </h2>

A shopkeeper bought wheat for rs.35000. Due to leakage in the godown 1/7 of the total wheat was spoiled. He sold the good wheat at a gain of 10% and the spoiled when at a loss of 25%. Find his total gain or loss per cent.

Answer:

<h2>step by step answer:</h2>

In the question we are given a shopkeeper or bought wheat for Rs. 35000. Now, due to leakage 17 of the total wheat is spoiled. Now, he sold the good wheat at 10% gain and the bad wheat at 25% loss. We need to find the total gain/loss percent.

According to the problem, the total cost of wheat is Rs. 35000.

Now, let us find the cost price of the spoiled wheat.

So, the cost of spoiled wheat is 17×Rs35000 which is equal to Rs. 5000.

Hence, the cost price of spoiled wheat is Rs 5000.

As we know that the spoiled wheat was sold at 25% loss, so we can say that if the cost price is considered as 100% so the selling price is considered as (100−25)% or 75%.

So, we got the selling price of spoiled wheat is 75100×5000=Rs3750

So, the cost price of spoiled wheat is Rs.5000 and selling price of spoiled wheat is Rs.3750.

Now, let us find the cost price of the good wheat.

Now, we will consider the good quality of wheat whose cost price is Rs(35000−5000) which is Rs. 30000.

Hence, the cost price is Rs. 30000.

As we know good quality wheat was sold at 10% gain so we can say that, if the cost price is 100% then the selling price will be (100+10)% or 110% .

Hence, the selling price of good quality wheat is 110100×Rs30000 which is Rs. 33000.

So, the cost price of good quality wheat is Rs. 30000 and selling price is Rs. 33000.

Let us find the total selling price of the wheat that the shopkeeper bought.

Now the total selling price of the wheat is Rs.3750+Rs.30000=Rs.36750.

Hence Profit = Total selling price − Total cost price

profit =Rs.36750−Rs.35000

=Rs.1750

profit %

=profitcost price×100%.

=175035000×100%.

=5%.

<h2>So, total profit is 5%.</h2>

6 0

2 years ago

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