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4 years ago

Which of the following statements is true?

Mathematics

1 answer:

Semmy [17]4 years ago

7 0

Answer:

Option B

Step-by-step explanation:

we know that

A <u>rational number</u> is one that can be represented as the ratio of two whole numbers

$\frac{\sqrt{5}}{8}$ -----> Is not a rational number, because √5 is not a whole number, is a irrational number

$\frac{\sqrt{4}}{9}=\frac{2}{9}$ ---> Is a rational number, because can be represented as the ratio of two whole numbers

therefore

√5/8 is irrational and √4/9 is rational

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Which of the following are solutions to the inequality -7x+14>-3x-6 ? Select all that apply

ale4655 [162]

The solution is x<5
so
C,E,F, and G

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4 years ago

Read 2 more answers

Write the list of integers in increasing order from left to right.12, -4, -9,2, -2.

kotykmax [81]

we have the list

12, -4, -9,2, -2

rewrite in increasing order from left to right

The answer is

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1 year ago

Select all the correct answers.

krok68 [10]

Answer:

(x-1)(x-1) and (x-3)(x+2)

Step-by-step explanation:

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3 years ago

What linear function represents the line given by the point slope equation y+7= 2/3(x+6)?

aleksandrvk [35]

Answer:

The graph of the line in the attached figure

Step-by-step explanation:

we have

$y+7=\frac{2}{3}(x+6)$

This is the equation of a line into point slope form

The slope is $m=\frac{2}{3}$

The line pass through the point (-6,-7)

To graph the line find the y-intercept

Remember that

The y-intercept of the line is the value of y when the value of x is equal to zero

For x=0

$y+7=\frac{2}{3}(0+6)$

$y+7=\frac{2}{3}(6)$

$y+7=4$

$y=4-7=-3$

The y-intercept is the point (0,-3)

with the point (-6,-7) and (0,-3) plot the line

see the attached figure

8 0

3 years ago

What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4

KatRina [158]

You can use the fact that a number raised to negative powers can be written as 1 divided by that number raised to positive number.

The value of the given expression when m = -5 and n= 3 is $-\dfrac{2}{5}$

<h3>How can we rewrite a number raised to negative power?</h3>

Suppose we've got $a^{-b}$ . then it can be rewritten as

$a^{-b} = \dfrac{1}{a^b}$

It is because $a^0 = 1$ for any a except 0, and that $\dfrac{a^0}{a^b} = a^{0-b} = a^{-b}$

If base are same and there is multiplication, then there will be addition in power.

Also, know the fact that if base are same and there is division, there will be subtraction in power(subtracting since that denominator when goes up, its power gets negated(gets negative sign to the existing power)

Thus,

$a^b \timesa ^c = a^{b+c}\\\\\dfrac{a^b}{a^c} = a^{b-c}$

<h3>Using above method to simplify the given expression before evaluating</h3>

The given expression is $\dfrac{2m^{-1}n^5}{3m^0n^4} = \dfrac{2n^5}{3m^0m^1n^4} = \dfrac{2n^5}{3mn^4} = \dfrac{2n^{5-4}}{3m} = \dfrac{2n^1}{3m} = \dfrac{2n}{3m}$

Putting m = -5 and n=3, we get:

$\dfrac{2\times 3}{3 \times -5} = -\dfrac{2}{5}$

Thus,

The value of the given expression when m = -5 and n= 3 is $-\dfrac{2}{5}$

Learn more about base and exponent(power) here:

brainly.com/question/847241

4 0

3 years ago