Answer:
y = (x - 3)² + 1
Step-by-step explanation:
the equation of a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here (h, k ) = (3, 1 ) , then
y = a(x - 3)² + 1
to find a substitute (1, 5 ) into the equatiuon
5 = a(1 - 3)² + 1 ( subtract 1 from both sides )
4 = a(- 2)² = 4a ( divide both sides by 4 )
1 = a
then equation of quadratic function is
y = (x - 3)² + 1
Answer:
The function is decreasing for all real values of x where x < 1.5.
Step-by-step explanation:
we have



This is a vertical parabola open upward
The vertex is a minimum
The vertex is the point (1.5,-6.25)
we know that
The function is decreasing in the interval ----> (-∞,1.5) x < 1.5
That means----> the function is decreasing for all real values of x less than 1.5
The function is increasing in the interval ----> (1.5,∞) x> 1.5
That means----> the function is increasing for all real values of x greater than 1.5
see the attached figure to better understand the problem
therefore
The statement that is true is
The function is decreasing for all real values of x where x < 1.5.
Answer:
51 trees
Step-by-step explanation:
Start at one end of the 50-foot line segment.
At position 0 ft, put one tree.
Then 1 ft from 0 ft, put tree number 2.
One more foot over, at position 2 ft from the start, put tree number 3.
Notice that each tree number is one more than the number of feet.
That means at 50 ft from the stat, you put tree number 51.
Answer: 51 trees
Answer:
Take your numerator times the whole number, then divide by the denominator. For example,
2x15= 30
30/3= 10
2/3 of 15 would be 10
The answer is -6
3*2=6
-3*2=-6