It could be:
2/4
4/8
8/16
3/6
5/10
6/12
Answer:
a) rational
b) rational
c)exponential
d) power function
e) polynomial function of degree 6
f) trig function
Step-by-step explanation:
Functions can be classified by the operations they contain. Remember the following functions:
- Power function has as its main operation of an exponent on the variable.
- Root function has as its main operation a radical.
- Log function has as its main operation a log.
- Trig function has as its main operation sine, cosine, tangent, etc.
- Rational exponent has as its main function division by a variable.
- Exponential function has as its main operation a variable as an exponent.
- Polynomial function is similar to a power function. It has as its main function an exponent of 2 or greater on the variable.
Below is listed each function. The bolded choice is the correct type of function:
(a) y = x − 3 / x + 3 root function logarithmic function power function trigonometric function rational function exponential function polynomial function of degree 3
(b) y = x + x2 / x − 2 power function rational function algebraic function logarithmic function polynomial function of degree 2 root function exponential function trigonometric function
(c) y = 5^x logarithmic function root function trigonometric function exponential function polynomial function of degree 5 power function
(d) y = x^5 trigonometric function power function exponential function root function logarithmic function
(e) y = 7t^6 + t^4 − π logarithmic function rational function exponential function trigonometric function power function algebraic function root function polynomial function of degree 6
(f) y = cos(θ) + sin(θ) logarithmic function exponential function root function algebraic function rational function power function polynomial function of degree 6 trigonometric function
Answer:
Dimensions are 12 , 5
Step-by-step explanation:
Area of rectangular mural = length * width
length * width = 60 square feet
(x + 10)(x + 3) = 60
Use FOIL method
x*x + x*3 + 10*x + 10*3 = 60
x² + <u>3x + 10x</u> + 30 = 60 {Combine like terms}
x² +<u> 13x</u> + 30 - 60 = 0
x² + 13x - 30 = 0
Sum = 13
Product = -30
Factors = 15 , -2 (15+ (-2) = 13 ; 15*(-2) = -30)
x² + 15x - 2x - 30 =0 {Rewrite middle terms}
x(x + 15) - 2(x + 15) = 0
(x + 15)(x - 2) =0
x - 2 = 0 {Ignore (x +15) as dimensions wont have a negative value}
x = 2
x + 10 = 2 + 10 = 12
x + 3 = 2 + 3 = 5
Dimensions are 12 , 5
$6.67 is 6.6666 rounded to the nearest cent.
