Answer:
-x^2+4x+6
Step-by-step explanation:
f(x) = 4x+1
g(x) = x^2 - 5
(f-g) (x) = 4x+1 - ( x^2 - 5)
Distribute the minus sign
= 4x+1 - x^2 +5
Combine like terms
= -x^2+4x+6
Answer:
The height of the elephant is 
.
Step-by-step explanation:
It is given that,
Distance between a person and an elephant is 15 ft
The angle of elevation of the elephant is 30 degrees.
We need to find the height of the elephant. For this let us consider that height is h. So,
So, the height of the elephant is .
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -15 ± √((15)^2 - 4(2)(4)) ] / ( 2(2) )
x = [-15 ± √(225 - (32) ) ] / ( 4 )
x = [-15 ± √(193) ] / ( 4)
x = [-15 ± sqrt(193) ] / ( 4 )
x = -15/4 ± sqrt(193)/4
The answers are -15/4 + sqrt(193)/4 and -15/4 - sqrt(193)/4.
Answer:
In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. Since q may be equal to 1, every integer is also a rational number.
Step-by-step explanation:
