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3 years ago

Find the Domain: Show all steps h(x)=2(x+5)^2-5

Mathematics

1 answer:

kobusy [5.1K]3 years ago

3 0

Answer:

The domain is all real numbers (see the explanation)

Step-by-step explanation:

we have

$h(x)=2(x+5)^2-5$

This is a vertical parabola open upward (the leading coefficient is positive)

The vertex represent a minimum

The vertex is the point (-5,-5)

we know that

The domain of a function is the set of all possible values of x

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

In this problem

The domain is the interval (-∞,∞)

The domain is all real numbers

The range is the interval [-5,∞)

All real numbers greater than or equal to -5

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The difference between two numbers is 34. The larger exceeds 3 times the smaller by 4. Find the numbers.

svlad2 [7]

x-(3x+4)=34

x= -19

-19-(3(-19)+4)=34

-19+(57-4)=34

-19+(53)=34

-19+53=34

34=34

therefore the first number is -19 and the second number is 53

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3 years ago

What is 5% of 345? ......

Karolina [17]

Answer:

17.25

Step-by-step explanation:

5/100 x 345 = 1725/100 = 17.25

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3 years ago

What is the number in scientific notation? 0.0765

devlian [24]

Answer:

$7.65 * 10^{-2}$ is scientific notation of 0.0765

Step-by-step explanation:

For scientific notation , follow the following notation:

$a * 10^{b}$ -------->(equation 1)

Let, $a^{'} = 0.0765$

In standard form

$a = 7.65$

As decimal point move 2 places from left to right, therefore

b = -2

Put the value of 'a' and 'b' in (equation 1)

$7.65 * 10^{-2}$ is scientific notation of 0.0765

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4 years ago

A merchant has120 litres and 180 litres of two kinds of oil. He wants to sell the oil by filling the two kinds in tins of equal

fredd [130]

Answer:

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Step-by-step explanation:

To obtain the greatest volume of the tin, we calculate the highest common factor of both 120 and 80

Factors of :

80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The highest common factor is 60.

Hence, the greatest volume of the tin would be 60 litres

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3 years ago

Which of the following is NOT true about the tails in a distribution?

Alla [95]

Answer:

The answer is D: The inequality symbol in the alternative hypothesis points away from the critical region.

Step-by-step explanation:

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4 years ago