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kodGreya [7K]
3 years ago
13

Determine if the equation is linear. If so, graph the function.

Mathematics
1 answer:
musickatia [10]3 years ago
5 0

Answer:

The equation is not linear

Step-by-step explanation:

You are given the equation

\dfrac{2}{x}+\dfrac{y}{4}=\dfrac{3}{2}

Express y in terms of x:

\dfrac{y}{4}=\dfrac{3}{2}-\dfrac{2}{x}\\ \\\dfrac{y}{4}=\dfrac{3x-4}{2x}\\ \\y=4\cdot \dfrac{3x-4}{2x}\\ \\y=\dfrac{6x-8}{x}

The linear function must of form

y=mx+b,

where m and b are real numbers.

Your function is not of this form, so this is not a linear function.

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Write a two point slope equations for the line passing through the points 6,5 and 3,1
Gwar [14]

The 2-point form of the equation of a line can be written as ...

... y = (y2-y1)/(x2-x1)·(x -x1) +y1

For your points, this is ...

... y = (1-5)/(3-6)·(x -6) +5

... y = (4/3)(x -6) +5

It can also be written as

... y -5 = (4/3)(x -6)

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3 years ago
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Delta Math:<br> Finding Angles (Level 1) 1/5<br> Full explanation please<br> will give brainlist
olga nikolaevna [1]

Answer:

m\angle FGC =101\degree

Step-by-step explanation:

m\angle CBF = 46\degree (Given)

m\angle FIG = 55\degree (Given)

m\angle IFG = m\angle CBF (Corresponding angles)

\implies m\angle IFG = 46\degree

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(By exterior angle theorem)

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4 0
2 years ago
Round 1.49882 nearest to the nearest given place thousandths
I am Lyosha [343]
Okie doke. So, we are rounding this number to the nearest thousandths place, which is three digits behind the decimal. The rules for rounding are if the number is 5 or more in the digit behind it, the number goes up. If it is 4 or less, the number goes back. In other words, we depend on the digit right of the digit we are rounding to in order to see what we do. The number we are rounding is 1.49882. The 8 is in the thousandths place and the 8 is to the right of that, which is the ten thousandths place. Because 8 is greater than 5, the number rounds up. So the number rounded to the nearest thousandth is 1.500.
7 0
3 years ago
Average = 55 seconds
mezya [45]
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7 0
3 years ago
A local pizza restaurant surveyed a random sample of 150 people that live in their town about their favorite type of pizza. Of t
svlad2 [7]

Answer:

B) Yes, because the proportion of the sample whose favorite pizza is pepperoni is about 27%.

Step-by-step explanation:

From data of survey we can estimate the proportion of the sample whose favorite pizza is pepperoni. That is 40 (say pepperoni is the favorite) from 150 (total of sample).

Proportion would be \frac{40}{150}=0.27 that is 27%.

Now we can calculate 27% of total of residents (2,800). We should multiply 27% by 2,800.

0.27*2,800=756 which is close to 750.

So we can conclude that yes, 750 is a reasonable estimate because the proportion of the sample whose favorite pizza is pepperoni is about 27%  

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