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Readme [11.4K]
3 years ago
10

What is the constant of variation for the quadratic variation? 0.1y = 3x2

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

Answer:

The constant of variation for the given quadratic equation is, 30

Step-by-step explanation:

One of the form of a quadratic equation is written as:

y = kx^2     ....[1]

where k is the coefficient and for this case the constant of variation.

In order to obtain the answer for the given equation, we write the given equation to the form above.

0.1y=3x^2  or

y=(\frac{3}{0.1})x^2 or

y=30x^2

Comparing this equation with equation [1], to get the value of k;

k=30.

therefore, the  constant of variation is, 30.

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Bottle A contains 4 ounces of water, which is 25% of the amount of water in Bottle B. How much water is there in Bottle B?
sveticcg [70]

Answer:

B=16 ounces

C=24 ounces

B=1/0.75=133%

Step-by-step explanation:

we have that

A≡0.25B (25%), if A=4 ounces  then B=4/0.25 = 16 ounces

C=1.5B (150%), if B=16 ounces then C=1.5*(16 ounces) = 24 ounces

D≡xB (?%), if D=12 ounces then x=12/16 = 0.75 ≡ 75%, but xB≡D ⇒ B≡D/x →

B≡12(1/0.75)= B=12*(1.333)→ B≅133%D

6 0
3 years ago
How to factor 4x^2+24x+27​
fomenos

Answer:

(2 x + 3) (2 x + 9)

Step-by-step explanation:

Factor the following:

4 x^2 + 24 x + 27

Factor the quadratic 4 x^2 + 24 x + 27. The coefficient of x^2 is 4 and the constant term is 27. The product of 4 and 27 is 108. The factors of 108 which sum to 24 are 6 and 18. So 4 x^2 + 24 x + 27 = 4 x^2 + 18 x + 6 x + 27 = 9 (2 x + 3) + 2 x (2 x + 3):

9 (2 x + 3) + 2 x (2 x + 3)

Factor 2 x + 3 from 9 (2 x + 3) + 2 x (2 x + 3):

Answer: (2 x + 3) (2 x + 9)

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3 years ago
Reducing fractions 43/64
Alekssandra [29.7K]
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Lines b and c are parallel. What is the measure of <6?
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45 is my first choice answer
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Find the distance between the two points.<br> (-6, – 7), (0,0)
Elden [556K]

Answer:

√85

Step-by-step explanation:

for this, you will probably need to draw a graph. Plot the points, and then you will notice that you can draw a triangle with one side being the x-axis ( go on to (-6,0) then drop down unitll you hit the point (-6;-7)

// use the pythagoream theorem to find the length

the distance of the leg on the x-axis is 6  (calculate 0-(-6))

the distance of the leg that is dropping down is -7 (calculate 0-(-7))

then we have 2 legs and need to find the hypotenuse.

Pythagorean theorem a^2 + b^2 = c^2

substitute :

6^2 + 7^2 = c^2

36+49 = 85

c= √85

8 0
3 years ago
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