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SCORPION-xisa [38]
2 years ago
5

What are the roots of f(x) = x2 – 48?

Mathematics
2 answers:
notsponge [240]2 years ago
7 0

Answer:

(x +sqrt(48)) (x-sqrt(48))

Step-by-step explanation:

sqrt = Square Root

sqrt(48) = 6.928

lana66690 [7]2 years ago
6 0

Answer:

If you mean x-intercepts and your equation is x^2 -48 then the roots are +6.928 and -6.928

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Nate has $50 to spend at the grocery store. he fills his shopping cart with items totaling $46 at checkout he willhave to pay 6%
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Answer:

Yes

Step-by-step explanation:

This is becuase 46 x 1.06= 48.76, thats less than $50.

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Which statements are true regarding triangle LMN? Check all that apply.
dimaraw [331]

Answer:

NM = x

LM = x\sqrt{2}

tan (45) = 1

Step-by-step explanation:

Step 1: Pythagoras Theorem

Pythagoras theorem relates the three sides of the triangle in such a way that the sum of the square of base and perpendicular is equal to hypotenuse, such as:

                                        LM^{2} =LN^{2} +NM^{2}

Step 2: Trigonometric Functions

Only for a right angle triangle following three trigonometric relations are valid

                                        sin (\theta) = \frac{opposite}{hypotenuse}

                                        cos (\theta) = \frac{adjacent}{hypotenuse}

                                    tan (\theta)=\frac{sin (\theta)}{cos (\theta)} = \frac{opposite}{adjacent}

Step 3: Verifying all the possible answers

A: Since, LN = x and using tan (45) =1

we can calculate

                                              tan (\theta)= \frac{opposite}{adjacent}

                                           tan (45)= \frac{NM}{x} =1

therefore, NM = x (true)

B: As NM = x therefore it can not be equal to x\sqrt{2\\}.

C: Using Pythagoras Theorem

                                        LM^{2} =LN^{2} +NM^{2}

                                           LM^{2} =x^{2} +x^{2}

                                              LM^{2} =2x^{2}

                                         LM = \sqrt{2x^{2}} = x\sqrt{2}

It can also be proved using trigonometric relation

                                           cos (45) = \frac{x}{LM}

                                            LM = \frac{x}{cos (45)}

As, \frac{1}{cos (45)}= \sqrt{2}

Therefore

                                            LM = x\sqrt{2}

D and E:

Using same approach similar to part A

Since, LN = x and NM = x

we can calculate

                                              tan (\theta)= \frac{opposite}{adjacent}

                                           tan (45)= \frac{x}{x} =1

Therefore, tan (45) = 1  and not equal to \frac{\sqrt{2} }{2}

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<em>5²⁽ˣ⁺¹⁾ = 5³ : 5ˣ</em>

<em>5²⁽ˣ⁺¹⁾ = 5³⁻ˣ</em>

<em>2(x + 1) = 3 - x</em>

<em>2x + 2 = 3 - x</em>

<em>2x + x = 3 - 2</em>

<em>3x = 1</em>

<em>x = 1/3</em>

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