Answer: f(x) = x^2 - 4*x
Step-by-step explanation:
This is a quadratic equation, that can be written in factorized form as:
f(x) = A*(x - a)*(x - b)
Where A is a real number, a and b are the roots of the equation.
In the graph we can see that the graph intersects the x-axis at x = 0, and x = 4, then:
a = 0
b = 4
So the equation is:
f(x) = A*(x -0)*(x - 4) = A*x*(x - 4)
Now we can also see that, the arms of the exponential open up, this means that A is positive, and we also can see that f(2) = -4
Then:
f(2) = A*2*(2 - 4) = -4
= A*2*(-2) = -4
= A*-4 = -4
A = -4/-4 = 1
A = 1
Then the equation is:
f(x) = x*(x - 4) = x^2 - 4*x
Answer:
6
Step-by-step explanation:
Given :
Sample size, n = 36
Sample variance, s² = 1296
The estimated standard error can be obtained using the relation :
Standard Error, S. E = standard deviation / √n
Standard deviation, s = √1296 = 36
S.E = 36/√36
S.E = 36/6
S.E = 6
Hence, estimated standard error = 6
2 consecutive odd integers...x and x + 2
x + x + 2 = -148
2x + 2 = -148
2x = -148 - 2
2x = -150
x = -150/2
x = - 75
x + 2 = - 75 + 2 = - 73
smallest to largest : -75 , -73
120 cupcakes
Even # rows
Odd # columns
12: 1, 2,3,4,6, 12 (integers?)
I see only one arrangement with odd column & even rows
3 columns, 40 rows
That's mainly because 120 is an even number.
If you are dividing powers with the same integral base, you will be subtracting the exponents.
5^4 / 5^2 = 5^4-2 = 5^2.