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OLga [1]
2 years ago
14

Kim's softball team was playing in the championship game. When there were 444 innings left, the team was losing by a score of 17

1717 to 666 runs. In the last 444 innings, her team scored the same number of runs per inning, and the other team did not score any more runs. Kim's team won with the most runs.
Write an inequality to determine the number of runs per inning, ppp, Kim's team could have scored.
Find the minimum whole number of runs per inning Kim's team could have scored.
Mathematics
1 answer:
olga nikolaevna [1]2 years ago
8 0

The inequality to determine the number of runs per inning, p Kim's team could have scored is; 4r + 6 > 17

<h3>How to write an Inequality?</h3>

Let r represent the number of runs per inning. Thus for 4 innings, we have 4r.

The team already has 6 runs. Now add the additional runs to this to get;

4r + 6

The team wants to score more than the other team, this means they need more than 17 and so the inequality required is;

4r + 6 > 17

Subtract 6 from each side to get;

4r + 6 - 6 > 17 - 6

4r > 11

Divide both sides by 4 to get:

r > 2.75

Approximating to a whole number gives;

r > 3

Read more about writing inequalities at; brainly.com/question/25275758

#SPJ1

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Answer:

\displaystyle \frac{dy}{dx} = \frac{-cos(x) - ysec(xy)tan(xy)}{-sin(y) + xsec(xy)tan(xy)}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Distributive Property

<u>Algebra I</u>

  • Factoring

<u>Calculus</u>

Derivatives

Derivative Notation

Derivative of a constant is 0

Trig Differentiation

Derivative Rule [Chain Rule]:                                                                                       \displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

sin(x) + cos(y) + sec(xy) = 251

<u>Step 2: Differentiate</u>

  1. [Implicit Differentiation] Trig Differentiation [Chain Rule]:                             \displaystyle cos(x) - sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = 0                      
  2. [Subtraction Property of Equality] Isolate  \displaystyle \frac{dy}{dx}  terms:                                     \displaystyle -sin(y)\frac{dy}{dx} + sec(xy)tan(xy) \cdot (y + x\frac{dy}{dx}) = -cos(x)
  3. [Distributive Property] Distribute sec(xy)tan(xy):                                            \displaystyle -sin(y)\frac{dy}{dx} + ysec(xy)tan(xy) + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x)
  4. [Subtraction Property of Equality] Isolate  \displaystyle \frac{dy}{dx}  terms:                                     \displaystyle -sin(y)\frac{dy}{dx} + xsec(xy)tan(xy)\frac{dy}{dx} = -cos(x) - ysec(xy)tan(xy)
  5. Factor out  \displaystyle \frac{dy}{dx}:                                                                                                   \displaystyle \frac{dy}{dx}[-sin(y) + xsec(xy)tan(xy)] = -cos(x) - ysec(xy)tan(xy)
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Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Implicit Differentiation

Book: College Calculus 10e

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