the first one with the two lines coming off of 2008 because each y can only have one ex
Answer:
78
Step-by-step explanation:
Mode = number that appears most in a set of numbers
The number that appears the most in this set is 78. So, the mode is 78. Hope it helps!
Answer:
I'm pretty positive it's All real answers?
Answer: Choice A) 5x^3 - x - 3
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Work Shown:
We subtract the two functions like so
(f - g)(x) = f(x) - g(x)
(f - g)(x) = ( 5x^3-2 ) - ( x+1 )
(f - g)(x) = 5x^3 - 2 - x - 1
(f - g)(x) = 5x^3 - x - 3 ..... choice A
Note: be sure to remember to distribute the negative to every term inside (x+1), and not just to the x only.
Answer:
x = 1 +√5
Step-by-step explanation:
There are different formulas for the area of a triangle available, depending on the given information.
<h3>Formulas</h3>
When two sides and the angle between them are given, the relevant area formula is ...
Area = 1/2(ab)sin(C)
When the base and height of a triangle are given, the relevant area formula is ...
Area = 1/2bh
<h3>Equal Areas</h3>
The problem statement tells us the two triangles shown have equal areas. That means the two formulas will give the same result.
Area from angle = Area from base/height
1/2(x·x)sin(30°) = 1/2(x-2)(x+1)
x² = 2(x² -x -2) . . . . . . . . . . . use sin(30°) = 1/2, multiply by 4
x² -2x -4 = 0 . . . . . . . . subtract x², eliminate parentheses
(x -1)² = 5 . . . . . . . . . add 4+1 to complete the square
<h3>Value of x</h3>
x = 1 ± √5 . . . . . . take the square root, add 1
The value of x must be greater than 2 in order for the triangle side lengths to be positive. (x-2 > 0) This means x = 1-√5 is an extraneous solution.
The value of x is 1 +√5.
