- During exercise the body cools itself by sweating. sweating in response to an elevated body temperat... 1 year ago
- Surveys show that people who use calorie information to decide which foods to eat consume on average... 1 year ago
- A(n) _____ competitor provides a product or service that a consumer might buy instead of yours even... 1 year ago
- Tell us about a mistake you've made in your past and what you learned from that mistake. fire fighte... 1 year ago
- You work in an important and visible position in government. your decision is to choose between two... 1 year ago

- What unique accomplishment did ruben Dario achieve at the age of 18? A. he graduated from university... 230 Views 1 year ago
- What does Mark Twain satirize in this excerpt from "The £1,000,000 Bank-Note"? It was a lovely di... 224 Views 2 years ago
- Tyler is a recent college graduate that has a large private student loan debt. He is single with no... 133 Views 2 years ago
- 2. A catering company uses a linear function to determine the total cost of parties. The following t... 76 Views 2 years ago
- Read this passage: We were so happy and relieved to have him back. Back and staying with us. No more... 67 Views 2 years ago

## Answers

## BettieZumbrunnen

x + y = 34.5

xy = 297

From the first one . . . y = 34.5 - x

Plug that into the second one . . . x(34.5 - x) = 297

Eliminate parentheses . . . 34.5x - x² = 297

Bend that around and tidy it up . . . x² - 34.5x + 297 = 0

Apply the quadratic formula to that, and find . . .

x =18

x = 16.5

## Polieke

[latex] \left \{ {\big{x+y=34.5} \atop \big{xy=297}} \right.\\\\ \left \{ {\big{x=34.5-y\ \ \ \ \ } \atop\big {(34.5-y)y=297}} \right.\\\\\\ 34.5y-y^2-297=0\ \ \ \Rightarrow\ \ \ -y^2+34.5y-297=0\ /\cdot 2\\\\-2y^2+69y-594=0\\\\ \ \ \ \Rightarrow\ \ \ \Delta=69^2-4\cdot(-2)\cdot(-594)=4761-4752=9\\\\y_1= \frac{-69-3}{2\cdot(-2)} = \frac{-72}{-4} =18\ \ \ \Rightarrow\ \ \ x_1=34.5-18=16.5\\\\y_2= \frac{-69+3}{2\cdot(-2)} = \frac{-66}{-4} =16.5\ \ \ \Rightarrow\ \ \ x_2=34.5-16.5=18[/latex]

[latex]Ans.\ two\ numbers\ are:\ 18\ \ \ and\ \ \ 16.5[/latex]