Answer:
There are 96 ways different 4 digit numbers which can be made from these 5 digits.
Step-by-step explanation:
There are 5 different digits. The first one must be
1 3 5 or 7
So you can have 4 for the first one. Now the zero can be put into the mix.
4 * 4 * 3 * 2
96
f(x) = 7 sin (4πx) + 3. The function f(x) = 7 sin (4πx) + 3 describe a sinusoidal function whose period is 1/2, maximum value 10, minimum value -4, and it has a y-intercept of 3.
A sinudoidal function whose period is 1/2, maximum value is 10, minimum value is -4, and it has a y-intercept of 3. Let's write to the form f(x) = A sin (ωx +φ) + k, where A is the amplitude, ω is the angular velocity with ω=2πf, (ωx+φ) is the oscillation phase, φ the initial phase (horizontal shift), and k is y-intercept (vertical shift).
Calculating the amplitude:
A = |max - min/2|
A = |10 - (-4)/2| = 14/2
A = 7
calculating the ω:
The period of a sinusoidal is T = 1/f --------> f = 1 / T
ω = 2πf -------> ω = 2π ( 1/T) with T = 1/2
ω = 2π (1/(1/2) = 2π (2)
ω = 4π
The y-intercept k = 3
Writing the equation function with A = 7, ω = 4π, k = 3, φ = 0.
f(x) = A f(x) = A sin (ωx +φ) + k ----------> f(x) = 7 sin (4πx) + 3.
The incenter of a triangle is equidistant from all sides of the triangle
The incenter is the center of the biggest circle that can be drawn in the triangle, and is called incircle
The incircle will be tangent to all sides of the triangle.
Observation:
In an equilateral triangle the incenter, circumcenter, and centroid are all the same
We know from table that x intercept (when y or t(x) is 0) is -3
next we can move over the -y from the given equation
y = 4+ 4x
solving for when y is 0
0 = 4 + 4x
-4 = 4x
x=-1
Thus the first equation has larger intercept of -1
Answer:
(p-q)(a-1)
Step-by-step explanation:
a(p–q)+q–p
we can write this expression as
a(p-q)+(q-p)
from second parenthesis we can factor out -1 , so we get
a(p-q) -1(p-q)
Now it has two terms a(p-q) and -1(p-q) , from these two terms we can factor out (p-q)
So we get it
(p-q)(a-1)