Answer:
4
Step-by-step explanation:
Recall that for a function f(x) and for a constant k
f(x+k) represents a horizontal translation for the function f(x) by k units in the negative-x direction.
Hence f(x+k) is simply the graph of f(x) that has been moved left (negative x direction) by k units.
From the graph, we can see that g(x) = f(x+k) is simply the graph of f(x) that has been moved 4 units in the negative x-direction.
hence K is simply 4 units.
Answer:
27,400 is the current population
7% is the rate of increase
The new size is:
- 38,430 is the population if t is an exponent
- 146,590 is t is NOT an exponent in the formula you typed
Step-by-step explanation:
To find the population in a future year, use the formula:
Substitute the value t=5 to find the population in 5 years.
Or if the equation is supposed to have t as an exponent then look below:
Substitute the value t=5 to find the population in 5 years.
This formula is based off the standard formula 
so r, the rate is 1.07=1+0.07 so r is 7%.
is the starting population which is 27,400 here.
Answer:
(-3.07, 11.07)
Step-by-step explanation:
Given that a sports writer wished to see if a football filled with helium travels farther, on average, than a football filled with air. To test this, the writer used eighteen adult male volunteers. These volunteers were randomly divided into two groups of nine subjects each.
Group Group One Group Two
Mean 300.00 296.00
SD 8.00 6.00
SEM 2.67 2.00
N 9 9
The mean of Group One minus Group Two equals 4.00
standard error of difference = 3.333
df = 16
t = 1.2000
Margin of error = 3.3333* t critical = 3.3333*2.121
95% confidence interval of this difference: From -3.07 to 11.07
Answer:
A.
Step-by-step explanation:
Step 1: Write equation
x² - 8x = 3
Step 2: Solve for <em>x</em>
- Complete the Square: x² - 8x + 16 = 3 + 16
- Factor: (x - 4)² = 19
- Square root both sides: x - 4 = ±√19
- Add 4 to both sides: x = 4 ± √19
