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3 years ago

-2√7 rational or irrational?

Mathematics

2 answers:

IgorLugansk [536]3 years ago

3 0

The sqrt(7) part makes it irrational, so the answer is irrational.

Pani-rosa [81]3 years ago

3 0

Answer

$-2\sqrt 7$ $\text {is an irrational number}$

Explanation

$-2\sqrt 7$ is an irrational number, an irrational number is a number that contains repeating decimals or that cannot be written as a simple fraction.

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Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4) Erik said, "The right-hand side is factored, so I'll use the zer

Mumz [18]

Answer:

C) Both

Step-by-step explanation:

The given equation is:

$0=(3x+2)(x-4)$

To solve the given equation, we can use the Zero Product Property according to which if the product A.B = 0, then either A = 0 OR B = 0.

Using this property:

$(3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}$

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply $(3x+2)(x-4)$ i.e. $3x^2-12x+2x-8$ = $3x^2-10x-8$

So, the equation becomes:

$0=3x^2-10x-8$

Comparing this equation to standard quadratic equation:

$ax^2+bx+c=0$

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}$

The answer is same from both the approaches.

So, the correct answer is:

C) Both

3 0

3 years ago

Question 9

True [87]

Answer:

Step-by-step explanation:

m<1 = (4x + 2)

m<3 = (5x - 15)

To find the value of x, we need to generate an equation.

<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:

m<1 = m<3

(4x + 2) = (5x - 15)

Use this equation to solve for x

4x + 2 = 5x - 15

Subtract 5x from both sides

4x + 2 - 5x = 5x - 15 - 5x

-x + 2 = -15

Subtract 2 from both sides

-x + 2 - 2 = -15 - 2

-x = -17

Divide both sides by -1

x = 17

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3 years ago

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aivan3 [116]

Answer:

false,true,false,true

Step-by-step explanation:

not 100% sure

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3 years ago

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Someone please respond I’ve been reposting this question several of times already

seraphim [82]

Answer:

-4

Step-by-step explanation:

If a = -4 then you can eliminate hte -4x and 4x by adding them, you get 0x, so you eliminate the x variable

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3 years ago

349 times 3 expanded form

Mkey [24]

Answer:

Step-by-step explanation:

300(3) + 40(3)+ 9(3)

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3 years ago

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