MATHEMATICS HIGH SCHOOL

Solve for x in the equation x squared + 2 x + 1 = 17.x = negative 1 plus-or-minus StartRoot 15 EndRoot
x = negative 1 plus-or-minus StartRoot 17 EndRoot
x = negative 2 plus-or-minus 2 StartRoot 5 EndRoot
x = negative 1 plus-or-minus StartRoot 13 EndRoot

Answers

Answer 1
Answer:

Answer:

Option B.

Step-by-step explanation:

The given equation is

x^2+2x+1=17

Subtract both sides by 17.

x^2+2x+1-17=17-17

x^2+2x-16=0          .... (1)

If a quadratic equation is ax^2+bx+c=0, then by quadratic formula

x=(-b\pm √(b^2-4ac))/(2a)

In equation (1), a=1, b=2 and c=-16. Using quadratic formula we get

x=(-(2)\pm √((2)^2-4(1)(-16)))/(2(1))

x=(-2\pm √(4+64))/(2)

x=(-2\pm √(68))/(2)

x=(-2\pm 2√(17))/(2)

Taking out common factors.

x=(2(-1\pm √(17)))/(2)

x=-1\pm √(17)

Therefore, the correct option is B.
Answer 2
Answer:

Answer:

The answer to your question is the second option

Step-by-step explanation:

Process

1.- Write the equation

                                 x² + 2x + 1 = 17

Factor the first term

                                 (x + 1)² = 17

Get the square root

                                 \sqrt{(x+1)^(2) }  = √(17)

                                 (x + 1) = √(17)

Result

                                x₁ = - 1 + √(17)

                                 x₂ = -1  - √(17)                                

                               

                                 

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Answers

Answer:

B.99°

Step-by-step explanation:

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angle c= 360° - 261

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(6x^5+21x^4+33x^3+0x^3+18x+12)÷(6x+3)

Answers

so first factor out the big equation on top
very hard
we can cancel out the 0x terms since 0x=0

so we notice that 3 is a factor of both equations
(6x+3)=(3)(2x+1)

and
(6x^5+21x^4+33x^3+18x+12)=(3)(2x+1)(x^4+3x^3+4x^2-2x+4
so we notice that there is a (3)(2x+1) in bot h so divide and cross them out

the answer is (x^4+3x^3+4x^2-2x+4)

A light bulb distributor was given a study from an LED bulb manufacturer showing that LED light bulbs are better for the environment than traditional bulbs. Is there an incentive for this study to be biased? Why or why not?No, because neither company benefits from the survey results.

No, because the light bulb distributor trusts the LED bulb manufacturer.

Yes, because the LED bulb manufacturer may benefit from the survey results.

Yes, because the light bulb distributor wants to become a "green" company.

Answers

Answer:

C. Yes, because the LED bulb manufacturer may benefit from the survey results.

Step-by-step explanation:

We are given that,

'An LED bulb manufacturer gives the study with the result that LED light bulbs are better for the environment than the traditional bulbs'.

Now, if the light bulb distributor further shows the result to the consumers, they would like to buy LED bulbs.

So, the demand for the LED bulbs would increase. For that, the distributor would have to order more LED bulbs from the manufacturer.

Thus, the supply of LED bulbs would increase for the manufacturer resulting in increase in revenue.

Hence, the LED manufacturer may benefit from the survey result.
A light bulb distributor was given a study from an LED bulb manufacturer showing that LED light bulbs are better for the environment than traditionalbulbs. Is there an incentive for this study to be biased? Why or why not?

Yes, because the LED bulb manufacturer may benefit from the survey results.

If the light bulb distributor will decide get more stock of LED bulb due to the study given by the LED company, then, the LED company will benefit from it.

Lisa is seven times as old as her brother. She will be four times as old as her brother in three years. Represent the above situation in mathematical form.

Answers

Answer:

Let B = the brothers age now

Let L = Lisa's age now

 

Then today:

 

L = 7B

 

And three years from now, Lisa's current age plus 3 equals 4 times the brothers age plus 3 represented by the following formula

 

L+3 = 4(B+3)

 

Now we can substitute the value of L in the first formula for L in the second formula

 

7B + 3 = 4(B+3)

 

So the answer is C

Step-by-step explanation:

Arlo is making a sandwich. He will choose one type of bread, one type of meat, and one type of cheese. His choices for bread are wheat (W)and rye (R). His choices for meat are turkey (T) and ham (H). His choices for cheese are cheddar (C) and swiss (S).
Which tree diagram shows all the possible sandwich combinations?

Pls help

Answers

Answer:

The answer is B

Step-by-step explanation:

How many points are needed to name a specific line?

Answers

Two.

Example: a•------------------•b

You can't just call the line Line A because A is not a line, it's a point. But if you add another point, it makes a line, which would be called Line AB.

2 points to name a line .
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