All categories

2 years ago

NEED TO KNOW ASAP Which of the following is a quadratic inequality? Oy<2x+7 Oy Oy

Mathematics

1 answer:

Burka [1]2 years ago

8 0

Answer:

Step-by-step explanation:

A quadratic inequality is one that involves a quadratic polynomial.

<h3>Identification</h3>

The degree of a polynomial is the value of the largest exponent of the variable. When the degree of a polynomial is 2, we call it a <em>quadratic</em>.

For the following inequalities, the degree of the polynomial in x is shown:

y < 2x +7 . . . degree 1
y < x^3 +x^2 . . . degree 3
y < x^2 -5x . . . degree 2 (quadratic)

<h3>Application</h3>

We see that the degree of the polynomial in x is 2 in ...

y < x^2 -5x

so that is the quadratic inequality you're looking for.

<em>Additional comment</em>

When a term involves only one variable, its degree is the exponent of that variable: 5x^3 has degree 3. When a term involves more than one variable, the degree of the term is the sum of the exponents of the variables: 8x^4y3 has degree 4+3=7.

You might be interested in

What is the solution to the inequality?<br><br> 4(2x+5)-2x more than or equal to 10

Alexxx [7]

See attached for the solution

4 0

3 years ago

What is 3.87 + 4.50 equals what

MrRissso [65]

Answer:

8.37

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is 125^2/3 in simplest form? and What is \sqrt[5]({-245} ) ^{5} in simplest form?

Natasha_Volkova [10]

${ 125 }^{ \frac { 2 }{ 3 } }\\ \\ ={ \left( { 125 }^{ \frac { 1 }{ 3 } } \right) }^{ 2 }\\ \\ ={ \left( \sqrt [ 3 ]{ 125 } \right) }^{ 2 }\\ \\ ={ 5 }^{ 2 }\\ \\ =25$

This is because:

${ a }^{ \frac { m }{ n } }\\ \\ =\sqrt [ n ]{ { a }^{ m } }$

Remember that:

5 x 5 x 5 = 125

5 0

3 years ago

Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.

Ostrovityanka [42]

We have that an inverse variation in a function is given by:
$y = k / x
$
We must find the value of the constant k.
To do this, we substitute the values of x1 = 12, y1 = 15.
We have then:
$15 = k / 12
$
Clearing k we have:
$k = (15) * (12)

k = 180$
Substituting the value of k we have that the inverse variation is:
$y = 180 / x
$
For y2 = 3 we have:
$3 = 180 / x2
$
Clearing x2 we have:
$x2 = 180/3$
$x2 = 60$
Answer:
$x2 = 60$

3 0

3 years ago

What does the value 3 represent in this exponential equation?

Mashcka [7]

Answer:

The base

Step-by-step explanation:

Just did it

6 0

2 years ago