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zmey [24]
3 years ago
5

Which of the following values satisfies the inequality 9 < 2x + 7 < 15?

Mathematics
1 answer:
scZoUnD [109]3 years ago
8 0

Answer:

B. X = 2

Step-by-step explanation:

2(0)+7 = 7 --> 7<9 so no

* 2(2)+7 = 11 --> 9<11<15 so yes *

2(4)+7 = 15 --> 15 = 15 so no

2(6)+7 = 19 --> 19>15 so no

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1.5x + 6 - 3 = 4.5x - 9

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3 years ago
Use the Pythagorean Theorem to find an approximate value of x
kozerog [31]

Answer:

Step-by-step explanation:

Hypotenuse² =base² + altitude²

(3x + 4)² = (2x + 1)² + (3x)²

{Use (a+b)² = a² + 2ab + b²}

(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²

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a = 4 ; b =-20  ; c = -15

D = b² - 4ac  = (-20)² - 4*4*(-15) = 400 + 240 = 640

√D = √640 = 25.30

x=\dfrac{-b+\sqrt{D}}{2a} \ ; \ x=\dfrac{-b-\sqrt{D}}{2a}\\\\\\x=\dfrac{20+25.30}{2*4} \ ; \ x=\dfrac{20-25.30}{2*4}\\\\\\x=\dfrac{45.30}{8} \ ; \  x =\dfrac{-5.30}{8}\\\\

x = 5 .66   ; x = -0.66

Ignore x = -0.66 as length of a side cannot be negative

Answer : x = 5.66

7 0
2 years ago
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