3/4
Find CD of both which is 8 and then cross mulitiply and divide and you get 24/32 reduces to 3/4
Answer: x+3
The original function tells us to subtract 3 from the input x.
The inverse function will do the exact opposite: it adds 3 to the input x.
Answer:
<em>The cost to manufacture 63 chairs, and that cost is 2268.</em>
Step-by-step explanation:
<u>Mathematical Models</u>
The cost to manufacture x chairs is given as the math model:
C(x)=36x
For example, to manufacture 10 chairs, we write:
C(10)=36*10=360
According to the explained above, the statement C(63)=2268 means we are calculating the cost to manufacture 63 chairs, and that cost is 2268.
The vertical asymptotes of a rational function may be found by examining the factors of the denominator that are not common to the factors in the numerator. Vertical asymptotes occur at the zeros of such factors
Answer:
Step-by-step explanation:
The expression x^3 - x^2 - 17x -15) ÷ (x-5) shows that x+5 is one of the factor if the polynomial function. According to factor theorem, we will equate the factor to zero and find x;
x+5 = 0
x = -5
Next is to generate the remainder.
Substitute x = -5 into the polynomial function
P(x) = x^3 - x^2 - 17x -15
P(-5) = (-5)^3 - (-5)^2 - 17(-5) -15
P(-5) = -125-25+85-15
P(-5) = -150+70
P(-5) = -80
Hence the remainder is -80
