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3 years ago

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Mathematics

1 answer:

alex41 [277]3 years ago

7 0

Answer:

69.08

Step-by-step explanation:

round from 69.115

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Explain why rational exponenets are not defined when the denominator of the exponent in lowest terms is even and the base is neg

Natali5045456 [20]

Answer:

The correct answer is:

we cannot take an even root of a negative number in the real number system.

Explanation:

A rational exponent is another way of writing a root. The denominator of the rational exponent will be the root, and the numerator will be the power of the number under the root. If the denominator is even, this means we are taking an even root, such as square root, 4th root, etc.

If the base is negative, this means we want an even root of a negative number.

Any even root can be broken down into a series of square roots, done one after another.

However, we cannot take the square root of a negative number using real numbers; this is because a square root is a number multiplied by itself to get the answer; a negative times a negative is a positive, as is a positive times a positive, so there is no way to multiply the same number twice and get a negative.

Read more on Brainly.com - brainly.com/question/2004951#readmore

Step-by-step explanation:

7 0

3 years ago

Which statements accurately describe the function f(x) = 3(16)^3/4? Check all that apply.

uysha [10]

Answers:

These are the statements that apply:

The initial value is 3.

The range is y >0.

The simplified base is 8.

Explanation:

1) Given expression:

$f(x)=3(16)^{\frac{3}{4} x$

2) Check every statement:

a) The initial value is 3?

initial value ⇒ x = 0 ⇒

$f(0)=3(16)^{0}=3(1)=3$

∴ The statement is right.

b) The initial value is 48?

Not, as it was already proved that it is 3.

c) The domain is x > 0?

No, because the domain of the exponential functions is all the Real numbers.

d) The range is y > 0?

That is correct, the exponential function is continuous, and monotonon increasing.

The limit when x → - ∞ is zero, but y never reaches zero, and the limit when x → ∞ is + ∞, meaning that the range is y > 0.

e) The simplified base is 12?

This is how you simplify the base:

$3(16)^{\frac{3}{4} x}=3{{(16}^{(3/4)})}^x=3(16^{3/4}})^{x}=3((2^4)^{3/4})^x=3(2^3)^x=3(8)^x$

Which shows that the simplified base is 8 (not 12).

f) The simplified base is 8?

Yes; this was just proved.

6 0

3 years ago

Read 2 more answers

What is the greatest common factor of 32 and 96

nikitadnepr [17]

The greatest common fact or 32 and 96 is 2

5 0

3 years ago

Read 2 more answers

Find the distance between the pair of points: (2,3) and (-5, -3).<br><br>distance = ?

Snowcat [4.5K]

Answer:

9.219544457292887

Step-by-step explanation:

Use distance formula

√(−5−2)^2+(−3−3)^2

√(−7)^2+(−6)^2

√49+36

√85

√≈9.219544457292887

Hoped this helped!

: )

3 0

3 years ago

I NEED HELP ASAP!!<br><br> 4(5)(-2)=?

vova2212 [387]

So, in an easier way to say it
4 × 5 × -2

You would start by doing
4 × 5 = 20
Then,
20 × -2 = 40

So your answer is -40

Hope I helped ♥

5 0

3 years ago