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GrogVix [38]
3 years ago
9

Determine whether y varies directly with x, if so find the constant of variation

Mathematics
1 answer:
grigory [225]3 years ago
4 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Yes, y varies directly with x,

constant of variation :

  • \dfrac{3 - 2}{ - 9 - ( - 6)}

  • \dfrac{1}{ - 3}

  • -   \dfrac{ 1}{3}

Equation will be :

  • y =   - \dfrac{ 1}{3} x

so, the Correct choice is b

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A formal garden at the Biltmore Estate has a large, circular fish pool with a 72-foot radius. What is the distance around the ou
QveST [7]

Answer:

  452.4 ft

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = 2πr . . . where r is the radius

Filling in the given number, we find the circumference to be ...

  C = 2π(72 ft) = 144π ft ≈ 452.4 ft

The distance around the outside edge is about 452.4 feet.

4 0
3 years ago
Question 3
crimeas [40]

Answer:

D = 141

Step-by-step explanation:

The given quadratic equation is

5x^2+9x=3\\\\5x^2+9x-3=0.

It is required to find the value of the discriminant. The value of discriminant  of any quadratic equation is given by :

D=b^2-4ac

Here, a = 5, b = 9 and c = -3

On plugging all the values, we get :

D=(9)^2-4\times 5\times (-3)\\\\D=141

So, the value of discriminant for y is 141.

8 0
3 years ago
The probability of rolling a sum of 5 from a pair of dice is. What are your odds in favor of rolling a sum of 5?
tamaranim1 [39]

Answer:

1/9

Step-by-step explanation:

3 0
3 years ago
The solutions of a quadratic equation are ​-4,9 Write a related quadratic function in factored form.
Yuri [45]

Answer:

y = (x + 4)(x - 9)

Step-by-step explanation:

x = {-4, 9}

y = (x + 4)(x - 9)

3 0
3 years ago
What is the sum of the prime factors of 2014
goblinko [34]

The sum of prime factors of 2014 is 74

<h3><u>Solution:</u></h3>

Given that to find sum of prime factors of 2014

Let us first find the prime factors of 2014

A prime number is a whole number greater than 1 whose only factors are 1 and itself

"Prime Factorization" is finding which prime numbers multiply together to make the original number.

<em><u>Prime factors of 2014:</u></em>

The Prime Factorization is:

2014 = 2 \times 19 \times 53

Thus the prime factors of 2014 are 2, 19, 53

<em><u>Let us now find the sum of prime factors of 2014</u></em>

sum of prime factors of 2014 = 2 + 19 + 53 = 74

Thus the sum of prime factors of 2014 is 74

7 0
3 years ago
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