Answer:
-3/2
Step-by-step explanation:
Given the funtion
(2x+3)² - 6x+9 = 0
(2x+3)² = 6x + 9
Expand
4x²+12x+9 = 6x + 9
4x²+12x - 6x = 0
4x²+6x = 0
4x² = -6x
4x = -6
x = -6/4
x = -3/2
Hence the value of x is -3/2
Answer:
15.87% of blue whales eat more than 5,850 pounds of fish
Step-by-step explanation:
Mean = 5000
Standard Deviation = 850
We need to find P(x>5850) = ?
We can find using z-score
z = x - mean/ standard deviation
z = 5850 - 5000/850
z = 850/850
z = 1
Now, P(x>5850) = P(z>1)
Finding value of P(z>1) by looking at the z-score table
P(z>1) = 0.8413
The normal distribution gives area to the left , so subtracting it from 1 to gain the answer
1-0.8413 = 0.1587
Now, to find percentage multiply it with 100
0.1587 * 100 = 15.87 %
15.87% of blue whales eat more than 5,850 pounds of fish
Answer:
The inverse is
f^-1(x) = (1/√2)x^¼
And it is a function
Step-by-step explanation:
Given f(x) = 4x^4
Let y = f(x), so that
y = 4x^4
Then dividing both sides by 4
x^4 = y/4
Taking the fourth root of both sides
x = (y/4)^¼
x = (1/√2)y^¼ = f^-1(y)
Put y = x
y = (1/√2)x^¼ = f^-1(x)
This is the inverse.
f^-1(x) is a function.
The y-intercept is where the curve crosses through the y axis (it intercepts it). In this case the y intercept would be worth three dollars at year 0. As years are time, and time is generally placed along the x axis.
