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:
Length of the tunnel is 51.7 meters
Step-by-step explanation:
We are given that,
The surveyor is located 54 meters from one entrance at an angle of 56°.
The surveyor is located 31 meters from one entrance at an angle of 13°.
Let the length of the tunnel = x meters
So, using the law of cosines, we get,
i.e. 
i.e. 
i.e. 
i.e. x = 51.7 meters
Hence, the length of the tunnel is 51.7 meters
Answer:
-3
Step-by-step explanation:
I attached I picture of the work
just ignore the stuff at the very top
Heya friend,
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Let the digits at ones place be x. Then,
the digits at tens place = (8-x)
Original number = 10(8-x) + x
= 80 - 10x + x
= 80 - 9x
On interchanging the digits
new number obtained = 10x + 8-x
= 9x + 8
According to question,
New number - Original number = 18
9x + 8 - (80-9x) = 18
=> 9x + 8 - 80 + 9x = 18
=> 18x - 72 = 18
=> 18x = 18 + 72
=> 18x = 90
=> x = 90/18
=> x = 5
Hence, the digits at ones place is 5.
The digits at tens place = (8-5) = 3.
So, the original number is 35 and the new number is 53.
Thanks
-40, -41, -42, -43, -44,-45, -46
