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photoshop1234 [79]
2 years ago
12

Divide 25 square root 1658 to find the quotient, start by dividing _____ into _____.

Mathematics
1 answer:
Oliga [24]2 years ago
4 0

Answer:

25/√1658

Step-by-step explanation:

To do that division, you just need to do that simple division. However, let me tell you that the way to do that division, is rationalizating the dividend. This is because in a division, they cannot be any kind of square root. So the mechanical procedure to this is the following:

Start dividing:

25 / √1658

Now, rationalize:

25 / √1658 * √1658 / √1658

This step is to eliminate the square root from the dividend. Then:

25 * √1658 / 1658

Now when you do the math, you should get an accurate result.

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A function of the form f(x) = abx is modified so that the b value remains the same but the a value is increased by 2. How do the
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Answer:

The range stays the same.

The domain stays the same.  

Step-by-step explanation:

The function f(x)=ab^{x} is an exponential function, where <em>a</em> is the coefficient, <em>b</em> is the base and <em>x</em> is the exponent.

The domain for this kind of functions is: All real numbers.

And the range is: (0,∞); this happen because the exponential functions are always positive when <em>a</em>>0.

Therefore, if the value of <em>a</em> is increased by 2, the domains will stay the same and the range will stay the same: (0,∞). The coefficient does not change the domain or the range if it keeps the same sign.

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2 years ago
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A charity fair raised $6,000 by selling 500 lottery tickets. There were two types of lottery tickets: A tickets cost $10 each, a
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x= A ticket 
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x+y=500
10x+60y=6000 
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-------------------
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-  10x+10y=5000
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2 years ago
Oscar has received a $4,000 gift and is looking for a bank to start a savings account. Which option
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Answer:

The best option for him would be a real interest rate of 5%.

Step-by-step explanation:

The nominal interest rate is the one that represents the percentage of increase of the money that is in a certain investment, without discounting the depreciation due to inflation or the payment of taxes.

On the other hand, the real interest rate is the one that represents the real increase in the money invested, after discounting inflation and any taxes to be paid.

Therefore, the best option for Oscar would be to invest his $ 4,000 in a savings account with a real interest rate of 5% per year.

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2 years ago
A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than t
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system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is  x+8y=68 and 3x+4y=64   .

<u>Step-by-step explanation:</u>

Here we have , A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. We need to find Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y . Let's find out:

Let the price in dollars of each large candle, x, and each small candle, y .So

A customer at a store paid $64 for 3 large candles and 4 small candles

Equation is  :

⇒ 3x+4y=64  .....(1)

At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles.

Equation is  :

⇒ x+8y=68  .......(2)

3(2)-(1) i.e.

⇒ 3(x+8y)-(3x+4y)=68(3)-64

⇒ 20y=140

⇒ y=7

So , x+8y=68  

⇒  x+8(7)=68

⇒  x=12

Therefore , system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is  x+8y=68 and 3x+4y=64   .

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Please see picture attached.

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