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3 years ago

Find 3x+27=12+14x-112

Mathematics

1 answer:

-Dominant- [34]3 years ago

3 0

Answer:

$\large\boxed{x=\dfrac{127}{11}}$

Step-by-step explanation:

$3x+27=12+14x-112\\\\3x+27=14x+(12-112)\\\\3x+27=14x-100\qquad\text{subtract 27 from both sides}\\\\3x+27-27=14x-100-27\\\\3x=14x-127\qquad\text{subtract }\ 14x\ \text{from both sides}\\\\3x-14x=12x-12x-127\\\\-11x=-127\qquad\text{divide both sides by (-11)}\\\\\dfrac{-11x}{-11}=\dfrac{-127}{-11}\\\\x=\dfrac{127}{11}$

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Find the domain and range of each relation. Then determine if the relation is a function. D={-2, -1, 3, 5}, R={-7 ,0 ,4} Functio

poizon [28]

Answer:

$D = \{-2,-1,3,5\}$ -- Domain

$R = \{-7,0,4\}$ -- Range

It is a function

Step-by-step explanation:

Given

$D = \{-2,-1,3,5\}$

$R = \{-7,0,4\}$

Required

State the domain and range

Determine if the relation is a function

From the question, we have the domain and range as:

$D = \{-2,-1,3,5\}$ -- Domain

$R = \{-7,0,4\}$ -- Range

Next, is to determine if the relation is a function or not.

Yes, it is a function.

The number of elements in the domain is 4

The number of elements in the range is 3

<em>When the domain has more elements than the range, this is called a many-to-one function, and it is a valid type of function.</em>

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2 years ago

Pluto is looking into joining a gym. He has a budget of $68 per month. The gym he wants to join has fees based on the number of

Artist 52 [7]

7(10 visits) ≤ 68
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Not Viable

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The first solution is not viable because 10 visits will give a total cost of $70 per month, which is $2 over his monthly budget of $68.

The second solution is viable. He could visit the gym a maximum of 9 times per month for a total of $63 a month and that will be under his $68 monthly budget.

Hope this helps! :)

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3 years ago

Solve the following equation then place the correct number in the box provided. X/3 - 4 = 10

ivann1987 [24]

X = 42

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3 years ago

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aleksandrvk [35]

Answer:

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Step-by-step explanation:

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3 years ago

The Ohio Department of Agriculture tested 203 fuel samples across the state in 1999 for accuracy of the reported octane level. F

OlgaM077 [116]

Answer:

The Sample size is 1918.89035

Step-by-step explanation:

Consider the provided information.

It is given that 14 out of 105 samples failed.

Therefore p = 14/105 = 0.13 3... and q=1-0.133=0.867

Samples would be needed to create a 99 percent confidence interval.

Subtract the confidence level from 1, then divide by two.

$\frac{(1 -0.99)}{2}=0.005$

By standard normal table z=2.5758≈2.58

Calculate the sample size as:

$n=\frac{z^2pq}{e^2}$

Where, e is the margin of error,

Substitute the respective values.

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2 years ago