Use the substitution method to solve this system. y = x − 4 and -2x + y = − 7

Evaluate ab - cd = a = 5, b = 3, c = 4, d = 2

Westkost [7]

Answer:

7

Step-by-step explanation:

ab - cd = ?

Put the numbers into the correct variables of the equation.

(5)(3) - (4)(2) = ?

Now multiply 5 and 3 with each other. This leaves you with:

15 - (4)(2) = ?

Now, multiply 4 and 2 with each other. This leaves you with:

15 - 8 = ?

Now, you are able to solve the equation.

15 - 8 = 7

7 0

4 years ago

First: State the degree and tell which monomial (term) you determined to be the one as the greatest degree. Second: Classify eac

kobusy [5.1K]

Answer:

$1.\text{ }7x^4+5x^2+x-9$

The term with the greatest degree is $7x^4$

The polynomial has degree 4 and is classified as a quadratic polynomial of 4 terms.

$2.\text{ }7x^6-4x^3+1/x$

It is not a polynomial.

Explanation:

Polynomials are expressions with terms composed of monomials.

A monomial is an expression formed by the product of a coefficient (constant numbers, like 3, 4/5, or even a root), and a literal part.

The literal part may consist of one or more letters and each letter may be raised to a non-negative integer number (positive or zero).

Hence, for instance, (2/9)x²y⁵z⁴³ is a monomial.

The given expressions are:

$1.\text{ }7x^4+5x^2+x-9$

$2.\text{ }7x^6-4x^3+1/x$

$1.\text{ }7x^4+5x^2+x-9$

This expression is a polynomial formed by 4 terms or monomials.

The monomials are:

$7x^4,\\ \\ 5x^2,\\ \\ x,\text{ }and\\ \\ 9$

The degrees of each monomial are:

$7x^4,\text{ }degree\text{ }4\\ \\ 5x^2,\text{ }degree\text{ }2\\ \\ x,\text{ }degree\text{ }1,\text{ }and\\ \\ 9\text{ }degree\text{ }0$

Thus, the one with the greatest degree is $7x^4$ . It defines the degree of the of the polynomial; hence the polynomial has degree four and is classified as quartic polynomial of four terms.

$2.\text{ }7x^6-4x^3+1/x$

This is not a polynomial, because the letter in the last term, i.e. 1/x has a negative power:

$1/x=x^{-1}$

As stated above, the powers have to be positive integers or zero (for the constant term).

Some special names used to classify the polynomials are:

Degree 1 – linear

Degree 2 – quadratic

Degree 3 – cubic

Degree 4 – quartic

Degree 5 – quintic

You can find other classifications in your book or in the internet.

7 0

4 years ago

Can someone plz help :)

sergey [27]

Answer: OPTION C.

Step-by-step explanation:

The area of a triangle can be calculated with the following formula:

$A=\frac{bh}{2}$

Where "b" is the base of the triangle and "h" is the height of the triangle.

You know that all the triangles that compose the large triangle are equal.

According to the information given in the exercise, the base and the height of any small triangle are:

$b=6\ in\\h=7\ in$

Therefore, the area of any of them is:

$A=\frac{(6\ in)(7\ in)}{2}\\\\A=21\ in^2$

Since there are 4 equal triangles, you need to multiply the area obtained by 4 in order to find the area of the large triangle. This is:

$A_{large}=4(21\ in^2)\\\\A_{large}=84\ in^2$

3 0

4 years ago

I need help doing this problem

SIZIF [17.4K]

40 degrees I believe

4 0

3 years ago

Square root of 6 (3- square root of 3)

lesya692 [45]

Answer:

2.44948974278 is the square root of six

Step-by-step explanation:

8 0

3 years ago