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olchik [2.2K]
3 years ago
7

What is the value of x in the equation 2(x-4) = 4(2x + 1)?

Mathematics
2 answers:
Pepsi [2]3 years ago
8 0

Answer:

x =  - 2

Step-by-step explanation:

2(x - 4) = 4(2x + 1) \\ 2x - 8 = 8x + 4 \\ 2x - 8x = 8 + 4 \\  - 6x = 12 \\  \frac{ - 6x}{ - 6}  =  \frac{12}{ - 6}  \\ x = -  2

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SpyIntel [72]3 years ago
4 0

Answer:

The value of x is -2.

Step-by-step explanation:

First, you have to eliminate the brackets by expanding :

2(x - 4) = 4(2x + 1)

2x - 8 = 8x + 4

Next, you have to move all the like-terms to one side :

2x - 8 - 8x = 4

- 6x = 4 + 8

- 6x = 12

x = 12 \div ( - 6)

x =  - 2

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2 years ago
Amir says the graph of<br> y= x2 + 16 has -4 as a zero. Is Amir correct?<br> Explain.
sukhopar [10]

Answer:

  • Amir is wrong

Step-by-step explanation:

The function y = x² + 16 is positive for any value of x, hence the graph has no intersection with the x-axis and therefore has no real zero's.

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Simplify the following expression:
nalin [4]
-2/2 I think probably
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3 years ago
The sodium content of a popular sports drink is listed as 200 mg in a 32-oz bottle. Analysis of 20 bottles indicates a sample me
julia-pushkina [17]

Answer:

The sample does not contradicts the manufacturer's claim.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 200 mg

Sample mean, \bar{x} = 211.5 mg

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 18.5 mg

a) First, we design the null and the alternate hypothesis  for a two tailed test

H_{0}: \mu = 200\\H_A: \mu \neq 200

We use Two-tailed t test to perform this hypothesis.

b) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} } Putting all the values, we have

t_{stat} = \displaystyle\frac{211.5 - 200}{\frac{18.5}{\sqrt{20}} } = 2.7799

c) Now,

t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = \pm 2.0930

Since, the calculated t-statistic does not lie in the range of the acceptance region(-2.0930,2.0930), we reject the null hypothesis.

Thus, the sample does not contradicts the manufacturer's claim.

d) P-value = 0.011934

Since the p-value is less than the significance level, we reject the null hypothesis and accept the alternate hypothesis.

Yes, both approach the critical value and the p-value approach gave the same results.

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3 years ago
Find the product -1.2(0.04)
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Answer:

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Step-by-step explanation:

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4 0
2 years ago
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