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Destinyyyy
 one year ago
Need help and a memory refresher on 8 problems.. Please do not give me answers. I want to remember how to solve them. This is my midterm review.
Destinyyyy
 one year ago
Need help and a memory refresher on 8 problems.. Please do not give me answers. I want to remember how to solve them. This is my midterm review.

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Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.011. Perform the indicated operations and write in standard form. (10 + square root 9) ^2

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.016. Solve the problem. A rain gutter is made from sheets of aluminum that are 24 inches wide. The edges are turned up to form right angles. Determine the depth of the gutter that will allow a crosssectional area of 58 square inches. There are two solutions to this problem. Round to the nearest tenth of an inch.

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.021. Solve the linear inequality. Other than not solution sign, use interval notation to express the solution set and graph the solution set on a number line. x1 over 16 >/ x4 over 20 + 1 over 80

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 @welshfella @Nnesha

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Please help me finish. I still have a chapter test and midterm to do for another class. Im majorly behind since the system keeps glitching.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Hopefully in your lesson somewhere you learned that \[\Large i = \sqrt{1}\] ? or no?

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Yes I did last term.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what we can do is rewrite 9 as 1*9 and simplify like this \[\Large \sqrt{9} = \sqrt{1*9}\] \[\Large \sqrt{9} = \sqrt{1}*\sqrt{9}\] \[\Large \sqrt{9} = i*3\] \[\Large \sqrt{9} = 3i\] make sense?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large \left(10+\sqrt{9}\right)^2\] turns into \[\Large \left(10+3i\right)^2\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Next you'll use the box method or FOIL or the distributive property to expand out \[\Large \left(10+3i\right)^2\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1personally I like the box method but you can choose which one you want to do

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0So.. (10+3i)(10+3i)

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Not sure where im going wrong.. (10+3i)(10+3i) 10030i30i+9i 10060i+9i 10051i

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.13i times 3i = 9i^2 not just 9i

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1since i = sqrt(1), squaring both sides gives i^2 = 1

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Okay. For number 16. Solve the problem. A rain gutter is made from sheets of aluminum that are 24 inches wide. The edges are turned up to form right angles. Determine the depth of the gutter that will allow a crosssectional area of 58 square inches. There are two solutions to this problem. Round to the nearest tenth of an inch. I got to 20+ square root 296 all over 4

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0the square root 296 can turn into 2 square root 74

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.020 + 2 square root 74 all over 4 Then I can 20 and 4 > 5

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0I'm kinda stuck there.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I'm not sure how you got that. What quadratic equation did you get to?

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Um.. 2x^2 +20x 13=0 20+ square root (20)^2 4(2)(13) all over 2(2) Some girl earlier said to 2x+y=20 y=202x x*y=13 x*(202x)=13

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Im really not sure. I followed what she said. And I responded saying I was stuck and she didnt reply.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1ok let's start with a 24 inch line dw:1444423527504:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1we will bend this line into a partial rectangle like this dw:1444423553539:dw I can't do animations on here but hopefully you can picture what is going on

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1after the bending is done, we have this left over dw:1444423623561:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1if we make x = depth, then we have this dw:1444423774023:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what is the length of the bottom side?

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0What do you mean? As in y?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1hint: dw:1444423922673:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1replace the question marks with some expression in terms of x

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0I understand what your saying but I keep thinking Y. Unless its 58?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1444424117414:dw

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Or is it still 24 even though the edges have been bent.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1there are 2 xs being subtracted off, so that's how I got 242x

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1444424187334:dw

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Yes I understand now.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Area = Length * Width 58 = (24  2x) * x 58 = 24x  2x^2 2x^2 + 24x  58 = 0 solve for x using the quadratic formula

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Okay. Im at.. 24 + 4 square root 65 over 4

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you made an error somewhere

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.024 + square root 576 +464 over 4

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1it should be 464 not +464

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1b^2  4ac (24)^2  4*(2)*(58) 576  464

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Oops I put a + in front of the 4...

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Now I have.. 6+ 1 square root 7

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1good, \[\Large x = 6 \pm \sqrt{7}\]

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Answer> 3.4 and 8.6

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1both are correct

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Okay thank you.. 6 left.. 21. Solve the linear inequality. Other than not solution sign, use interval notation to express the solution set and graph the solution set on a number line. x1 over 16 >/ x4 over 20 + 1 over 80

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1This? \[\Large \frac{x1}{16} \ge \frac{x4}{20} + \frac{1}{80}\]

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0I know the answer is 10.. Its the only option.. My first attempt I canceled out the fractions by using 4... Yes thats it.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I would use 80 instead

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Multiply every term by the LCD 80 to clear out the fractions \[\Large \frac{x1}{16} \ge \frac{x4}{20} + \frac{1}{80}\] \[\Large 80*\frac{x1}{16} \ge 80*\frac{x4}{20} + 80*\frac{1}{80}\] \[\Large 5(x1) \ge 4(x4) + 1\]

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Yep.. Should of figured that out :/ ... x</ 10

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Its [10, infinity) correct?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes, sorry I misread your first inequality it should be \(\Large x \ge 10\) which turns into `[10, infinity)`

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Okay. Sorry typed the wrong one.

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Next problem.. 24. Determine whether the equation defines y as a function of x. xy + 5y = 1

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0I don't remember doing any problems like this. And I couldn't find any examples from my notes.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1We solve for y to get xy + 5y = 1 y(x + 5) = 1 y = 1/(x + 5) which is definitely a function. You can graph to verify that it passes the vertical line test. Any given input (x) produces EXACTLY ONE output (y)

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.026. Evaluate the function at the given value of the independent variable and simplify. f(x) = 3x2  4x + 4; f(x  1)

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0I'm not sure on this one either.. I was thinking plug (x1) in for the x's but im not sure. If you want me to post in a new question I can.

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1You're right. Replace each x with x1 and simplify \[\Large f(x) = 3x^2  4x + 4\] \[\Large f(\color{red}{x}) = 3(\color{red}{x})^2  4(\color{red}{x}) + 4\] \[\Large f(\color{red}{x1}) = 3(\color{red}{x1})^2  4(\color{red}{x1}) + 4\] now simplify the right hand side

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1` If you want me to post in a new question I can. ` yes please. It's getting laggy with all of these questions. It's a good idea to have one question per post to avoid clutter and lag

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.0Okay Ill do it now..
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