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2 years ago

Choose the greatest-.03; .3; .291; or.34

Mathematics

2 answers:

alisha [4.7K]2 years ago

7 0

Answer:

.34

Step-by-step explanation:

It's literally the biggest out of the four.

yarga [219]2 years ago

4 0

Answer:

The greatest number would therefore be 291

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What are some easy ways to find the value of<br> (2017^4−2016^4)/(2017^2+2016^2) without calculator

scoray [572]

Answer:

4033

Step-by-step explanation:

An easy way to solve this problem is to notice the numerator, 2017^4-2016^4 resembles the special product a^2 - b^2. In this case, 2017^4 is a^2 and 2016^4 is b^2. We can set up equations to solve for a and b:

a^2 = 2017^4

a = 2017^2

b^2 = 2016^4

b = 2016^2

Now, the special product a^2 - b^2 factors to (a + b)(a - b), so we can substitute that for the numerator:

We can notice that both the numerator and denominator contain 2017^2 + 2016^2, so we can divide by $\frac{2017^2+2016^2}{2017^2+2016^2}$ which is just one, and will simplify the fraction to just:

2017^2 - 2016^2

This again is just the special product a^2 - b^2, but in this case a is 2017 and b is 2016. Using this we can factor it:

(2017 + 2016)(2017 - 2016)

And, without using a calculator, this is easy to simplify:

(4033)(1)

4033

8 0

2 years ago

Two times a number puls three equals one half of the number plus 30. What is the number

Masja [62]

Answer:18

Step-by-step explanation:2(18)+3=1/2(18)+30

36+3=9+30

39=39

7 0

2 years ago

Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground.

babunello [35]

Answer:

So he starts at underground level and goes even deeper so the answer is D

Step-by-step explanation:

7 0

1 year ago

give the answers to the remaining boxes left blank, you can give the answers all in one sentence starting from the first blank b

Thepotemich [5.8K]

The domain of the functions are:

The domain of f(x) = √4x + 6 is [-3/2, ∞) or x >-3/2
The domain of g(x) = -4√-20x - 6 is (-∞, -3/10] or x < -3/10
The domain of f(x) = 15 + √5x - 16 is [16/5, ∞) or x >16/5
The domain of p(x) = √20x + 6 is (-3/10, ∞] or x > -3/10

<h3>What are the domains of a function?</h3>

The domain of a function is the set of input values the function can take i.e. the set of values the independent variable can assume?

<h3>How to determine the domain of the functions?</h3>

<u>Function 1</u>

The function is given as:

f(x) = √4x + 6

Set the radicand greater than 0

4x + 6 > 0

Subtract 6 from both sides

4x > -6

Divide by 4

x > -3/2

Express as interval notation

[-3/2, ∞)

Hence, the domain of f(x) = √4x + 6 is [-3/2, ∞) or x >-3/2

<u>Function 2</u>

The function is given as:

g(x) = -4√-20x - 6

Set the radicand greater than 0

-20x - 6 > 0

Add 6 to both sides

-20x > 6

Divide by -20

x < -6/20

Simplify

x < -3/10

Express as interval notation

(-∞, -3/10]

Hence, the domain of g(x) = -4√-20x - 6 is (-∞, -3/10] or x < -3/10

<u>Function 3</u>

The function is given as:

f(x) = 15 + √5x - 16

Set the radicand greater than 0

5x - 16 > 0

Add 16 to both sides

5x > 16

Divide by 5

x > 16/5

Express as interval notation

[16/5, ∞)

Hence, the domain of f(x) = 15 + √5x - 16 is [16/5, ∞) or x >16/5

<u>Function 4</u>

The function is given as:

p(x) = √20x + 6

Set the radicand greater than 0

20x + 6 > 0

Subtract 6 from both sides

20x > -6

Divide by 20

x > -6/20

Simplify

x > -3/10

Express as interval notation

(-3/10, ∞]

Hence, the domain of p(x) = √20x + 6 is (-3/10, ∞] or x > -3/10