Answer:
Step-by-step explanation:
The graph decreases at first, then changes direction at (2, 5).
y = a(x-2)^2 + 5
Plug in (1,11) and solve for a:
11 = a(1-2)^2 + 5
a = 6
Equation in vertex form:
y = 6(x-2)^2 + 5
Answer:
Step-by-step explanation:
we know that
The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
Applying the Triangle Inequality Theorem
1) 
solve for n
Rewrite
2) 
therefore
C because x is positive so it moving right and y is positive so it moves up
Answer:
162
Step-by-step explanation:
Note that you can split the given shape into a triangle and a rectangle.
Area of rectangle = base x height
base = 12
height = 9
Plug in the corresponding numbers into the corresponding variables:
Area of rectangle = 12 x 9
= 108
Area of triangle = (base x height)/2
base = 12
height = 9
Area of triangle = (12 x 9)/2
= (108)/2
= 54
Next, add the two areas together to get the full area:
108 + 54 = 162
162 is your answer.
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<h3>
Answer:</h3>
C. 4(x-3)-x
<h3>
Step-by-step explanation:</h3>
All of the given expressions are equivalent to 3x+12 except selection C. Using that in your equation makes it be ...
... 3(x +1) +9 = 4(x -3) -x
... 3x +12 = 3x -12
... 12 = -12 . . . . . <em>false</em>
There is no value of x that will make this true, hence NO SOLUTION.
_____
<em>Comment on the other choices</em>
3x+12 = 3x+12 has an <em>infinite number of solutions</em>, as <u><em>any</em></u> value of x will make this true.
