Answer:
(c) y < x^2 -5x
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.
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<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.
Answer:
4
Step-by-step explanation:
add 12 to 20 then divide 32 by 8
Assuming this question is trying to enquire as to how many bottle of
water there are in each case, you simply need to divide 162 by 9 to find
the answer, which is that there are 18 bottles of water in each case.
Answer:
236.715 ft²
Step-by-step explanation:
The figure consists of the rectangle with sides 15 ft and 4 ft and two semicircles with diameter 15 ft (radius 7.5 ft).
The area of the rectangle is
A₁=15·4=60 ft²
The area of two semicircles together is the area of circle. Thus,
A₂=πr²=π·7.5²=56.25π≈176.715 ft²
The area of the figure is
A=A₁+A₂=60+176.715=236.715 ft²
