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Lady_Fox [76]
4 years ago
10

If y varies directly as x and y=14 when x= 3.5 what is the constant of variation

Mathematics
1 answer:
gulaghasi [49]4 years ago
8 0

Hey there! Direct variation, a concept commonly applied to linear equations.

The constant of variation is a concept which simply refers to the change in y, based on the change in x. If this change is constant, then it is a constant of variation.


You can find the constant of variation (usually referred to as 'k') by dividing any point's y-value by its x-value.


In this instance, we have the point (3.5, 14)

14 / 3.5 = 4


The constant of variation for this equation would be 4.

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Bezzdna [24]

The complete fractional question given in the above picture is 55/3 = 1 + 52/3 = 2 + 49/3 = 5 + 40/3 = 8 + 31/3 = 10 + 25/3

<h3>Fraction</h3>

Let

  • Each empty box = x

55/3 = 1 + x/3

55/3 = (3+x) / 3

55/3 × 3 = 3 + x

55 = 3 + x

55 - 3 = x

52 = x

55/3 = 2 + x/3

55/3 =(6+x) / 3

55/3 × 3 = 6+x

55 = 6 + x

55 - 6 = x

49 = x

55/3 = x + 40/3

55/3 = (3x+40) / 3

55/3 × 3 = 3x + 40

55 = 3x + 40

55 - 40 = 3x

15 = 3x

x = 15/3

x = 5

55/3 = x + 31/3

55/3 = (3x+31) / 3

55/3 × 3 = 3x + 31

55 = 3x + 31

55 - 31 = 3x

24 = 3x

x = 24/3

x = 8

55/3 = 10 + x/3

55/3 = (30+x) / 3

55/3 × 3 = 30 + x

55 = 30 + x

55 - 30 = x

25 = x

Learn more about fraction:

brainly.com/question/11562149

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3 0
2 years ago
If f(x) = х2 – 2х + 3, thеn find<br> f(-3).
exis [7]

Answer:

\huge\boxed{\sf f(-3) = 18}

Step-by-step explanation:

\sf f(x) = x^2 - 2x + 3

<u>Put x = -3</u>

\sf f(-3) = (-3)^2 -2(-3) + 3\\f(-3) = 9 + 6 + 3\\f(-3) = 18

3 0
3 years ago
Find the perimeter and area of the figure. Round to the nearest tenth if necessary. 33.7 mm; 108 mm2 33.7 mm; 54 mm2 30.7 mm; 50
Deffense [45]

Answer:

Perimeter: 33.7 mm

Area: 54 mm

Step-by-step explanation:

If you do 12 + 9.7 + 12 you will get the perimeter, and to get the area you would use the formula A = \frac{1}{2} x base x height. Since the base is 12 and the height is 9, you would do 12 x 9 x 0.5 to get 54 mm for the area of the triangle.

8 0
3 years ago
Help me please
Fittoniya [83]
110a3b3c4 is yours answer.
8 0
2 years ago
A $220 tablet is on sale at half price for $110. You have a coupon for 20% off the sale price. If you use your coupon to buy the
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20% is what you won't pay therefore 80% is what you'll pay.=80/100*220=$176
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3 years ago
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