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notsponge [240]
3 years ago
12

What values of x makes this equation true? (2x+6)^2-14=30

Mathematics
1 answer:
trapecia [35]3 years ago
6 0
(2x+6)^2-14=30 \\ \\ (2(x + 3))^2 - 14 = 30 \\ \\ 2^2 (x + 3)^2 - 14 = 30 \\ \\ 4(x + 3)^2 - 14 = 30 \\ \\ 4(x + 3)^2 = 30 + 14 \\ \\ 4(x + 3)^2 = 44 \\ \\ (x + 3)^2 =  \frac{44}{4} \\ \\ (x + 3)^2 = 11  \\ \\ x + 3 = \pm  \sqrt{11} \\ \\ x =  \sqrt{11} - 3, -  \sqrt{11} - 3 \\ \\

The final result is: x = √11 - 3, -√11 - 3.
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Mr. James has cylindrical beakers that measure 4 inches in diameter and 9 inches high. What is the volume contained within the b
goblinko [34]
So 4 inches diameter result the radius is 4/2 = 2 inches 

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Arlecino [84]

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taurus [48]

Answer:

Time of murder = 10:39 am

Step-by-step explanation:

Let the equation of exponential function representing the final temperature of the body after time 't' is,

f(t) = a(e)^{nt}

Here, a = Initial temperature

n = Constant for the change in temperature

t = Duration

At 11:30 am temperature of the body was 91.8°F.

91.8 = 98.6(e)^{nt} --------(1)

Time to reach the body to the morgue = 12:30 pm

Duration to reach = 12:30 p.m. - 11:30 a.m.

                              = 1 hour

Therefore, equation will be,

84.4 = 91.8(e)^{n\times 1}

eⁿ = \frac{84.4}{91.8}

ln(eⁿ) = ln(0.9194)

n = -0.08403

From equation (1),

91.8 = 98.6(e)^{-0.08403t}

(e)^{0.08403t}=\frac{98.6}{91.8}

ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}]

0.08403t = 0.07146

t = 0.85 hours

t ≈ 51 minutes

Therefore, murder was done 51 minutes before the detectives arrival.

Time of murder = 11:30 - 00:51

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3 years ago
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sum6 + x = 16×7 = 112

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x = 22

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