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NeX [460]
3 years ago
14

Consider the following three equations:

Mathematics
2 answers:
KengaRu [80]3 years ago
8 0

Answer:

1.

y = 20(11) + 300 = 520

y = 5(11)(11) = 605    

y = 10(1.4)^11 = 404.96

hence the quadratic formula - y = 5x^2 has the largest y-value

2.

y = 20 (14) + 300 = 580

y = 5 (14) (14) = 980

y = 10(1.4)^ 14 = 1111.20   >    this is greater than both equations above

14 is the smallest value of x for which the value of the exponential equation is greater than the values of both the linear and quadratic functions

Step-by-step explanation:

skad [1K]3 years ago
7 0

Answer:

1. Quadratic

2. x = 14

Step-by-step explanation:

1. At x = 11

linear: y=20(11) + 300 = 520

Quadratic: y=5× 11² = 605

Exponential: y=10(1.4)¹¹ = 404.956517

2. 10(1.4^x) > 20x + 300

1.4^x > 2x + 30

1.4^x - 2x - 30 > 0

Using trial method:

x > 11

10(1.4^x) > 5x²

1.4^x - 0.5x² > 0

Using trail method:

x > 13

The smallest positive integer which satisfies both inequalities is 14

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2x^2 -  50 \\ \\ Pull \ out \ like \ factors : \\ &#10;&#10;   2x^2 - 50  =   2 * (x^2 - 25) \\ \\    Factoring: \\    x^2 - 25 \\ \\ (your \  answer)...\\ \\   2 * (x + 5) * (x - 5)

Now, we can determine whether the say "yes" or "no" to the following answers.

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