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Liono4ka [1.6K]
3 years ago
6

Is the function “ y = 3x “ a direct variation?

Mathematics
1 answer:
LuckyWell [14K]3 years ago
3 0

Given function is a direct variation

Step-by-step explanation:

The direct proportion is defined as the increase in one quantity causes increase in other quantity.

If y is directly proportional to x, then it is given as:

y = kx

where k is the constant of proportionality

Given

y = 3x

Comparing the general form and given equation we see that both are same where k =3

So,

Given function is a direct variation

Keywords: Variation, functions

Learn more about functions at:

  • brainly.com/question/702593
  • brainly.com/question/689294

#LearnwithBrainly

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The formula for the area A of a triangle is A=(1/2)bh, where b is the length of the base and h is the height. Rearrange the form
zalisa [80]

Answer:

b=\dfrac{2A}{h}

Step-by-step explanation:

The formula for the area of a triangle is given by :

A=\dfrac{1}{2}bh ...(1)

Where b is the length of the base and h is the height.

We need to find the value of b from the above formula.

Cross multiplying equation (1) we get :

2A=bh

Now dividing both sides by h. So,

\dfrac{2A}{h}=\dfrac{bh}{h}\\\\b=\dfrac{2A}{h}

So, the correct option is (D) i.e. \dfrac{2A}{h}.

8 0
3 years ago
8x-19 = -12x+61 What is x?
olasank [31]

Answer:

x is 4

Step-by-step explanation:

Step one: Add 12x to both sides-

8x-19+12x=-12x+61+12x

20x-19=61

Step 2: add 19 to both sides

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3 0
3 years ago
(TEN POINTS)
Rainbow [258]
F(-1)= -3 is (-1,-3) and f(2) = 6 is (2,6) where f(x) = y
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First, we need to find the slope between the two points (-1,-3) and (2,6). To find the slope we could use one of it's formulas \frac{y^2 - y^1}{x^2 - x^1}.  
1. (-1,-3)
2. (2,6)
\frac{6 - -3}{2 - -1} → \frac{9}{3} → \frac{3}{1}

The slope is 3 (\frac{3}{1}). Thusly, y = 3x + b

To find out the y-intercept, we can reverse the slope. [Note: This \frac{3}{1} is in \frac{rise}{run} where rise is 'y' and run is 'x'. Reversed would be \frac{-3}{-1} ]. Take the second ordered pair and use our reversed slope on it until we get 0 for x. 

(2, 6) ⇒ (2 - 1, 6 -3) ⇒ (1, 3) ⇒ (0,0)

Y-intercept is 0. Therefore, y= 3x + 0 [NOTE: y = f(x), so if you want it in function notation form it's just f(x) = 3x + 0.]
6 0
3 years ago
A rectangle had a length of 2x-7 and a with of 3x+8y. Write and simplify an expression for the perimeter of that rectangle?
wel

Answer:

Step-by-step explanation:

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P = 2(5x + 8y - 7)

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2 years ago
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