find roots of eqn; find solns to syst. of eqns; solve trig eqn; word probs; summation

[CavsFan123]

Need Help ASAP on these questions!!

1. Determine the number of the roots of the equation –x^ 2 – 5x = -3

2. How many solutions does the following system have?y = – 6x + 6 , y = 3x² – 6x + 6

3. Solve the following equation over the domain 0⁰ ≤ x < 360⁰ : 4 sin2x = 3

4. A plane flies 900 kilometres with a tail wind in 3 hours. The same plane takes 4 hours to fly the 900 kilometres when flying against the wind. What is the plane’s speed without a wind?

5. Given that f(x) = 2(x-3)² – 4 the graph of 1f(x) will have…

6. The first hole at a golf course is 210 yards long in a direct line from the tee to the hold. Andrew Duffer hit his first shot at an angle of 15o off the direct line to the hole. The angle between his first shot and his second shot was105o. His second shot landed in the hold. What is the length of his second shot, to the nearest yard?

7. ∑ 5(13)9 ?−1?=3

Thanks guys! Please show your work as I need to check my answers!

 

[Deleted member 4993]

1. Determine the number of the roots of the equation –x^ 2 – 5x = -3

2.How many solutions does the following system have?y = – 6x + 6 , y = 3x2 – 6x + 6

3.Solve the following equation over the domain 0⁰≤x<360⁰:4 sin2x = 3

4.A plane flies 900 kilometres with a tail wind in 3 hours. The same planetakes 4 hours to fly the 900 kilometres when flying against the wind. Whatis the plane’s speed without a wind?

5.Given that f(x) = 2(x-3)2 – 4 the graph of 1?(?)will have…

6.. The first hole at a golf course is 210 yards long in a direct line from the teeto the hold. Andrew Duffer hit his first shot at an angle of 15o off the directline to the hole. The angle between his first shot and his second shot was105o. His second shot landed in the hold. What is the length of his secondshot, to the nearest yard?

7. ∑ 5(13)9 ?−1?=3

Thanks guys! Please show your work as I need to check my answers!

What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

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[stapel]

Need Help ASAP on these questions!!
Please show your work as I need to check my answers!

Do you need help getting started (and this is why you've shown no work at all and want us to give you all the steps required for full credit), or are you wanting to check answers? Either way, this isn't one of those "cheetz" sites. (For further info, please re-read the "Read Before Posting" announcement.) If you want your work done for you, you'll want to find one of those kinds of sites -- but be sure to use a credit card with a very low credit limit, as those places are usually scammers, too.

If, on the other hand, you want to check your answers, then please reply with a clear listing of your steps and results.

1. Determine the number of the roots of the equation –x^ 2 – 5x = -3

So you moved everything over to one side, applied the Quadratic Formula (here), and... then what? Where are you stuck?

2. How many solutions does the following system have?y = – 6x + 6 , y = 3x² – 6x + 6

You drew the two graphs, and... then what? (here)

3. Solve the following equation over the domain 0⁰ ≤ x < 360⁰ : 4 sin2x = 3

You divided through, solved the resulting trig equation for the value(s) of 2x, divided through again, and... then what? Where are you stuck? (here)

4. A plane flies 900 kilometres with a tail wind in 3 hours. The same plane takes 4 hours to fly the 900 kilometres when flying against the wind. What is the plane’s speed without a wind?

You set this up with the usual "uniform rate" equation, and... then what? (here)

5. Given that f(x) = 2(x-3)² – 4 the graph of 1f(x) will have…

What is the significance of the "1" in front of the "f(x)"? What sort of answer is the book expecting? (As currently framed, the question is too vague to answer.)

6. The first hole at a golf course is 210 yards long in a direct line from the tee to the hold.

I will guess that "hold" means "hole".

Andrew Duffer hit his first shot at an angle of 15o off the direct line to the hole.

I will guess that "15o" means "15 degrees".

The angle between his first shot and his second shot was105o.

I will guess that "was105o" means "was 105 degrees".

His second shot landed in the hold.

I will guess that "hold" again means "hole".

What is the length of his second shot, to the nearest yard?

If the first shot was 15* ("fifteen degrees") off the direct line, and the second shot was 105* off of the first shot's line, then the second line was either 105* - 15* = 90* off the direct line to the hole, or else was 105* + 15* = 120* off the direct line. Without loads more information regarding the rest of the shot's path, there is no way to determine the distance covered. Please reply with corrections and clarification.

7. ∑ 5(13)9 ?−1?=3

As written, the expression is quite unclear. Do you mean any of the following?

. . . . .\(\displaystyle \mbox{a. }\, \sum\, \left(5(13)\, \cdot\, 9k\right)\, -\, 1k\, =\, 3\)

. . . . .\(\displaystyle \mbox{b. }\, \sum\, \left(5(13)\, \cdot\, (9k\, -\, 1k)\right)\, =\, 3\)

. . . . .\(\displaystyle \mbox{c. }\, \sum\, \left(5(13)\, \cdot\, 9k\, -\, 1k\right)\, =\, 3\)

. . . . .\(\displaystyle \mbox{d. }\, \sum\, \left(5(13)^9\, \right)k\, -\, 1k\, =\, 3\)

. . . . .\(\displaystyle \mbox{e. }\, \sum\, \left(5(13)^{9k}\, \right)\, -\, 1k\, =\, 3\)

. . . . .\(\displaystyle \mbox{f. }\, \sum\, \left(5(13)^9\, \right)\,k\, -\, 1k\, =\, 3\)

. . . . .\(\displaystyle \mbox{g. }\, \sum\, \left(5(13)^{9k}\, -\, 1k\right)\, =\, 3\)

. . . . .\(\displaystyle \mbox{h. }\, \sum\, \left(5(13)^9\, \cdot\,k\, -\, 1k\right)\, =\, 3\)

Or something else? What are the limits, above and below the summation symbol? What were the instructions? That is, what are you supposed to be doing with this expression?

Please be complete. Thank you!