7. The Celsius temperature, C, of a chemical reaction increases and then decreases over time according to the formula C(t) =-r +& + 93, where t represents the time in minutes. Use the Quadratic Formula to help determine the amount of time, to the nearest tenth of a minute, it takes for the reaction to reach 110 degrees Celsius.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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can you help me with my hw number 7 and 8

6. Algebraically solve the system of equations shown below. Note that you can use either factoring or the
quadratic formula to find the x-coordinates, but the quadratic formula is probably easier.
y = 6x* + 19.x – 15 and y=-12x + 15
APPLICATIONS
7. The Celsius temperature, C, of a chemical reaction increases and then decreases over time according to the
formula C(1) =- + &r +93, where t represents the time in minutes. Use the Quadratic Formula to help
determine the amount of time, to the nearest tenth of a minute, it takes for the reaction to reach 110 degrees
Celsius.
REASONING
8. For every quadratic there are two roots (or zeroes or x-intercepts). They are always given by
-b-VB² - 4ac
-b+ VB - 4ac
and x,
2a
2a
Determine a formula, in terms of b and a for the sum of these two roots.
COMMON CORE ALGEBRA II, UNIT #8 - RADICALS AND THE QUADRATIC FORMULA -LESSON #7
еМАTHIxSTRLCтOм, RED HOOK, NY 12571, O 2015
Transcribed Image Text:6. Algebraically solve the system of equations shown below. Note that you can use either factoring or the quadratic formula to find the x-coordinates, but the quadratic formula is probably easier. y = 6x* + 19.x – 15 and y=-12x + 15 APPLICATIONS 7. The Celsius temperature, C, of a chemical reaction increases and then decreases over time according to the formula C(1) =- + &r +93, where t represents the time in minutes. Use the Quadratic Formula to help determine the amount of time, to the nearest tenth of a minute, it takes for the reaction to reach 110 degrees Celsius. REASONING 8. For every quadratic there are two roots (or zeroes or x-intercepts). They are always given by -b-VB² - 4ac -b+ VB - 4ac and x, 2a 2a Determine a formula, in terms of b and a for the sum of these two roots. COMMON CORE ALGEBRA II, UNIT #8 - RADICALS AND THE QUADRATIC FORMULA -LESSON #7 еМАTHIxSTRLCтOм, RED HOOK, NY 12571, O 2015
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