When a function is shifted to the right by 1 unit it is moved towards the negative side so we would be adding -1 to the value of x. The function f(x) would be f(x-1). To determine the resulting function, we substitute to the parent function (x-1) to x. We do as follows:
<span>f (x) = x^3 + 2x^2 − 3x − 5
</span>f (x-1) = (x-1)^3 + 2(x-1)^2 − 3(x-1) − 5
f (x-1) = x^3 - 3x^2 + 3x - 1 + 2(x^2 - 2x + 1) - 3x + 3 - 5
f (x-1) = x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5
f (x-1) = <span>x^3 - x^2 - 4x - 1
Therefore, the correct answer is the last option.</span>
Set up an equation and solve:
2x-14=52
2x=66
x=33
sydney is 33 and devaughn is 19
Answer:
1, 3, 3, 6, 10, 10, 11, 14
(6,10) 6+10= 16
16/2= 8
median is = 8
Step-by-step explanation:
A) c + t = 60
B) 3c = 7t
Multiplying A) by -3
A) -3c + -3t = -180 then adding this to b
B) 3c = 7t
180 = 10t
trucks = 18
cars = 42
24 miles = 326 gallons
divide each side by 24: 1 mile = 13.583 gallons
round: 13.6 miles per gallon
