The value of the expression C(6,3) is 20
<h3>How to evaluate the expression?</h3>
The expression is given as:
C(6, 3)
This means 6 combination 3.
And it can be written as:
Apply the combination formula
Evaluate the expression
Hence, the value of the expression C(6,3) is 20
Read more about combination at:
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F(x) = x²-4x-5, quadratic function,
Domain (the values if x) is all real numbers.
To find range we should draw a graph or to write an equation in vertex form.
f(x) = x²-4x+4-4-5
f(x) = (x-2)²-9
Point (-2,-9) is the vertex of the parabola, and it is a minimum because a parabola has positive sign in front of x², so it is looking up. Minimum value of y =-9
Range(the values of y) is [-9, ∞)
<h3>
Answer: 22</h3>
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Explanation:
- x = measure of angle 1 = angle WXY
- 2x = twice the measure of angle 1 = measure of angle 2 = angle YXZ
The two angles mentioned combine to form angle WXZ which is 66 degrees.
angle1+angle2 = angle WXZ
x+2x = 66
3x = 66
x = 66/3
x = 22
Angle 1 is 22 degrees and angle 2 is 22*2 = 44 degrees.
Check:
angle1+angle2 = 22+44 = 66 = angle WXZ
Answer:
Step-by-step explanation:
Given that:
Distance traveled by seal to catch the fish = 15 below sea level
Sea lion wanted to catch a larger fish so sea lion dove 6 feet lesser than two time the distance that the seal traveled.
To find:
The expression to represent the position of the sea lion in the sea.
Solution:
If the distance traveled by seal is represented by 
then as per the question statement:
Twice of = 
6 lesser than twice of = - 6
Now, putting the value of = 15
Therefore, the expression to represent the sea lion's position w.r.to sea level.
