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3 years ago

Hi, please help me out with this math problem.

Mathematics

1 answer:

GalinKa [24]3 years ago

6 0

9514 1404 393

Answer:

x - 4

Step-by-step explanation:

The expression simplifies to ...

$\sqrt{x^2-8x+16}=\sqrt{(x-4)^2}=|x-4|$

For x ≥ 4, the argument of the absolute value function is non-negative, so it remains unchanged. The simplified expression is ...

x - 4 . . . . for x ≥ 4

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Jonah is going to the store to buy candles. Small candles cost $2.50 and large candles cost $7.00. He needs to buy at least 20 c

artcher [175]

The system of linear inequalities are:

$a + b \geq 20\\\\2.50a + 7b\leq 80$

Solution:

Let "a" be the number of small candles bought

Let "b" be the number of large candles bought

He needs to buy at least 20 candles

Therefore, number of small candles and number of large candles bought must be at least 20

Thus, we frame a inequality as:

$a + b \geq 20$

"at least" means greater than or equal to

Here, we used "greater or equal to" symbol because, he can buy 20 candles or more than 20 candles also

From given,

Cost of 1 small candle = $ 2.50

Cost of 1 large candle = $ 7

He can spend no more than 80 dollars

Which means, he spend maximum 80 dollars or less than 80 dollars also

So we have to use "less than or equal to" symbol

Thus, we frame a inequality as:

Number of small candles bought x Cost of 1 small candle + number of large candles bought x Cost of 1 large candle $\leq$ 80

$a \times 2.50 + b \times 7 \leq 80\\\\2.50a + 7b\leq 80$

Thus the system of linear inequalities are:

$a + b \geq 20\\\\2.50a + 7b\leq 80$

3 0

3 years ago

The sticker has a base of 6.5cm and a height of 10.1. What is the area of the sticker?

coldgirl [10]

Answer:

65.65

Step-by-step explanation:

1) Carry over the decimals in each number.

2) Multiply. This will give you 6,565.

3) Carry the decimal place and count how many times you moved it over. (2=1+1) Therefore, it gives you 65.65

I hope this helped

4 0

3 years ago

3n - 5 = -8 what is the value of n?

lubasha [3.4K]

The value of n is 1 :)

8 0

3 years ago

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The scores of individual students on the american college testing (act) program composite college entrance examination have a no

ryzh [129]

The sampling distribution standard deviation is the population standard deviation divided by the root of the sample size.

sampling distribution standard deviation = 6.00/√36 = 1.00

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3 years ago

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Which property is demonstrated by the equation (5 + a) + 3 = (a + 5) + 3?

sineoko [7]

Answer:

Communitive Property

Step-by-step explanation:

Commutative property = 2 + 3 = 3 + 2 or 2(3) = 3(2)

Associative Property = (2 x 3) 5 = 2 (3 x 5) or (2 + 3) + 5 = 2 + (3 + 5)

Inverse Property = 2 + (-2) = 0 or (2/1)(½) = 1

Basic Definitions:

Commutative Property - Gives you the ability to switch the order of the numbers in an expression.

Associative Property - Let's you move the parenthesis in an expression but not the numbers.

Inverse - Uses numbers like 0 and 1.

Using these basic definitions and examples, we can summarize that the best answer would be Communitive Property

4 0

3 years ago