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2 years ago

Which of the following shows the interval of the domain where

Mathematics

1 answer:

Arte-miy333 [17]2 years ago

4 0

The domain of the function where the function is decreasing is (-∞, 1). Then the correct option is D.

<h3>What are domain and range?</h3>

The domain means all the possible values of the x and the range means all the possible values of the y.

The function is given below.

f(x) = x² - 2x + 5

The equation can be written as

f(x) = x² - 2x + 1 + 4

f(x) = (x - 1)² + 4

Then the domain of the function where the function is decreasing will be (-∞, 1).

Then the correct option is D.

More about the domain and range link is given below.

brainly.com/question/12208715

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Write in simplest form:<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24a%5E%7B10%7Db%5E%7B6%7D%7D" id="TexFormula1" ti

Charra [1.4K]

Answer:

$2a^3b^2\sqrt[3]{3a}$

Step-by-step explanation:

Use the following rules for exponents:

$a^m*a^n=a^{m+n}\\\\\sqrt[3]{x^3}=x$

Simplify 24. Find two factors of 24, one of which should be a perfect cube:

$8*3=24\\\\2^3=8$

Insert:

$\sqrt[3]{2^3*3a^{10}b^6}$

Now split the exponents. Split 10 into as many 3's as possible:

$10=3+3+3+1$

Insert as exponents:

$\sqrt[3]{2^3*3*a^3*a^3*a^3*a^1*b^6}$

Split 6 into as many 3's as possible:

$6=3+3$

Insert as exponents:

$\sqrt[3]{2^3*3*a^3*a^3*a^3*a^1*b^3*b^3}$

Now simplify. Any terms with an exponent of 3 will be moved out of the radical (rule #2):

$2\sqrt[3]{3*a^3*a^3*a^3*a^1*b^3*b^3}\\\\\\2*a*a*a\sqrt[3]{3*a^1*b^3*b^3}\\\\\\2*a*a*a*b*b\sqrt[3]{3*a^1}$

Simplify:

$2a^3b^2\sqrt[3]{3a}$

:Done

6 0

2 years ago

You roll a number cube. What is the probability it will land on a number greater than 5?

olasank [31]

1 out of 6 chances

Explanation: there’s 6 sides of a cube if you mark them 1-6 there only one side that you can land on that is greater then 5 which is six also if you need it in percent it’s 16.6%

5 0

2 years ago

84 2/3% to a fraction in lowest terms

RoseWind [281]

The evaluation of 84 2/3% to a fraction in its lowest term is $\mathbf{ \dfrac{127}{150} }$

<h3>What is a fraction?</h3>

Fractions are sections or parts of a whole. They are divided into two parts, the numerator, and the denominator.

From the given information, we are to convert a mixed fraction into its lowest terms. By doing that, we are to convert it to an improper fraction.

$\mathbf{= 84 \dfrac{2}{3}\%}$

$\mathbf{= \dfrac{(84 \times 3)+2}{3} \%}$

$\mathbf{= \dfrac{254}{3} \%}$

$\mathbf{= \dfrac{254}{3} \times \dfrac{1}{100}}$

$\mathbf{= \dfrac{254}{300} }$

Divide both the numerator and denominator by (2)

$\mathbf{= \dfrac{127}{150} }$

Learn more about fractions here:

brainly.com/question/78672

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3 0

1 year ago

Through: (6, 2), perpendicular to<br> y = -x-5 <br> in slope intercept form

True [87]

Answer:

y = x-4

Step-by-step explanation:

y = -x-5

Slope of line is -1.

Slope of perpendicular to line is 1.

Point-slope equation for line of slope 1 that passes through (6,2):

y-2 = 1(x-6)

Rearrange equation to slope-intercept form:

y = 1(x-6) + 2

y = x-4

6 0

2 years ago

Tell me the answer for 11 plz thanks if you did

aleksandr82 [10.1K]

2 Hours-$48
5 Hours-$120
A) Not sure sorry...
B) 4 1/2 Hours
~Silver

6 0

3 years ago

Read 2 more answers