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scoundrel [369]
4 years ago
5

Write the direct variation: The total cost C of gasoline is $3.00 times the number of gallons g

Mathematics
1 answer:
Zielflug [23.3K]4 years ago
3 0
Is it 3g? idk sorry i need points

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Solve using synthetic division.<br><br> (x2 + 3) ÷ (x − 1)
murzikaleks [220]

Answer:

2x+3 / x = 1

Step-by-step explanation:

3 0
3 years ago
What is the volume of three cubes, each with a side length of 1/3 foot? V = s3, where s is the side length.
marta [7]
1/3 of a foot = 4 inches
(4^3)*3=
(4*4*4)*3=
(16*4)*3=
64*3=
192
8 0
3 years ago
A circle is inscribed in a square. Write and simplify an expression for the ratio of the area of the square to the area of the c
STALIN [3.7K]
 Best Answer:<span>  </span><span>So first we need both areas, then we can relate them, and then divide the circle by the square: 

A(circle) = πr^2 
A(square) = L*W or (2r)*(2r) which is (2r)^2 

For the square, we know this is true because because the radius is half the diameter, so if we multiply the radius by 2, we get the length of one side of the square. We also know that the lengths of both sides of the square are the same by definition of a square. 

Ratio: (πr^2)/(4r^2) = π/4</span>
8 0
3 years ago
En un polinomio P(x,y), homogéneo y completo en "x" e "y", la suma de los grados absolutos de todos sus términos es 420. ¿Cuál e
Mandarinka [93]

Answer:

the degree of homogeneity is 20.

Step-by-step explanation:

In a polynomial P (x, y), homogeneous and complete in "x" and "y", the sum of the absolute degrees of all its terms is 420. What is its degree of homogeneity?

A homogeneous polynomial is one in which all monomials have the same degree.

This is an example of a homogeneous polynomial of degree 4 (the degree of all monomials is 4):

x ^ 4 + 3x ^ 3y + 2x ^ 2y ^ 2 + xy ^ 3 + 8y ^ 4.

As you can see, the sum of the exponents of the variables x, y in each monomial is 4.

And the number of terms is 5, that is, it is the degree of homogeneity plus 1.

In relation to the sum of the absolute degrees of all monomials or terms it will be: 4 + 4 + 4 + 4 + 4 = 4 * 5 = 20.

In general, you can say that the sum of the absolute degrees in a homogeneous polynomial will be the degree of each monomial by the number of terms = degree * (degree + 1)

Calling n, the degree of our polynomial, it must be fulfilled:

n (n + 1) = 420

=> n ^ 2 + n = 420

=> n ^ 2 + n - 420 = 0

Factoring:

(n + 21) (n - 20) = 0

=> n = -21 and n = 20.

Only the positive value makes sense, therefore n = 20.

In other words, the polynomial is of the form (excluding the coefficients):

x ^ 20 + x ^ 19 y + x ^ 18 y ^ 2 + x ^ 17 y ^ 3 + .... x ^ 3 y ^ 17 + x ^ 2y ^ 18 + xy ^ 19 + y ^ 20

That polynomial has 21 terms.

So the sum of the degrees will be 20 * 21 = 420, as required in the statement.

Therefore, the degree of homogeneity is 20.

8 0
3 years ago
I need help with this one
Aleksandr [31]

Answer:

58 degrees

Step-by-step explanation:

The little square in the corner signals a right angle/a 90 degree angle. If x and 32 add up to 90, then x is 58.

7 0
2 years ago
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