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>
Answer:
There are 47.12 liters in 12.4 gallons of gasoline.
Option C is correct option.
Step-by-step explanation:
Total Gasoline bought = 12.4 gallons
We are given:
1 gallons = 3.8 liters
So.=, we need to find how many liters in 12.4 gallons of gasoline
1 gallon = 3.8 liters
12.4 gallon = 3.8*12.4
= 47.12 liters
So, there are 47.12 liters in 12.4 gallons of gasoline.
Option C is correct option.
Answer:
Step-by-step explanation:
<u>Circumference formula:</u>
<u>Use the given value and find the diameter:</u>
- 138 = 3.14d
- r = 138/3.14
- r = 43.94 ≈ 44 yards
<u>Time required to dig across the garden:</u>
OM=18, so OQ=QM=18/2=9.
Given QU=8
from figure OQU is a right angled triangle , so OU^2=OQ^2 + QU^2
OU^2 = 9*9 + 8*8 = 81+72=153;
OU=sqrt(153) = 12.37 =13(approx);
From given statements of congruent NT and OU will also be congruent or identical. So, NT=OU=13
