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Pavel [41]
3 years ago
14

SOMEONE EXPLAIN FOR 100 POINTS AND BRAINLIEST! GEOMETRY HELP PLEASE!

Mathematics
2 answers:
neonofarm [45]3 years ago
8 0

Answer: 6 < x < 30

Step-by-step explanation:

0 < 2x - 12 < 48

12 < 2x < 60

6 < x < 30

o-na [289]3 years ago
3 0

Answer:

  • 6 < x < 30

Step-by-step explanation:

The top and bottom triangles have two congruent sides with different included angles.

  • AB = AD and AC is common side.

<u>The greater angle has greater op</u>posite side.

  • The ∠BAC is greater than the ∠DAC as opposite side of the first (22) is greater than the opposite side of the second (16).

The ∠DAC must be greater than zero but smaller than 48°.

<u>Required inequality is: </u>

  • 0 < 2x - 12 < 48
  • 12 < 2x < 60
  • 6 < x < 30

So x has a value between 6 and 30

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Find the inverse of P(x)=-15x^2+350x-2000 and state it’s domain.
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Answer:

The function given is:

P(x) = 15x² + 350x - 2000

or

y = 15x² + 350x - 2000

Interchange x and y:

x = 15y² + 350y - 2000

x = (y√15)² + 2(y√15)(45.19) + (45.19)² - (45.19)² - 2000

x = ( y√15 + 45.19)² - 4042.14

( y√15 + 45.19)² = x + 4042.14

Take square root:

y√15 + 45.19 = (√(x + 4042.14))

y√15 =  (√(x + 4042.14)) - 45.19

y = \sqrt{\frac{x+4042.14}{15}}-11.67

f^{-1}(x) = \sqrt{\frac{x+4042.14}{15}}-11.67

The minimum value of x, for which function is defined and real, is x= -4042.14

Hence, the range of inverse is x ≥ -4042.14

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

1/4 is the answer

Step-by-step explanation:

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