Answer:
Step-by-step explanation:
The shape of this graph is that of a parabola. In this case the parabola opens down. The general form of the equation of such a parabola is
y = a(x - h)^2 + k, where (h, k) is the vertex and a is a coefficient to be determined.
In this particular case we can obtain the coordinates of the vertex (h, k) from the graph. They are (3, 4). Thus, h = 3 and k = 4. The graph goes through (1.5, 0). Use this information to determine the value of the coefficient a:
Then the equation of this parabola must be y = a(x - 3)^2 + 4.
0 = a(1.5 - 3)^2 + 4
Then:
0 = a(-1.5)^2 + 4, or
0 = 2.25a + 4, or
2.25a = -4, or
a = 16/9
Thus, the final result: The equation of this parabola is
y = (16/9)(x - 3)^2 + 4
whose graph is a parabola that opens down and has vertex (3, 4).
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Work is all listed below:
1) -1/6 - 3/6 = -4/6 = -2/3
2) 8/12 - 2/12 = 6/12 = 1/2
3) 4/7 - 1/4 = 16/28 - 7/28 = 9/28
X = number of years
78 + 7x = 111 + 4x
-78 from both sides
7x = 33 + 4x
Subtract 4x from both sides
3x = 33
Divid both sides by 3
X= 11
In 11 years both trees will be the same height.
Answer:
So, lets go to the first posible number that ends in 8 and is multiple of 8 and greater than 16. This is 48. 48 = 6*8, this is, lets think about 6 correct answers that sum 48 points.
We now need to subtract a number to 48 that gives us 13. Which is?
48 - x = 13 <----> x = 35
So, we need a number of incorrect answers that sum 35. As every wrong answer sums 5 points, we need 7 wring answers (7*5 = 35):
8*6 - 5*7 = 48 - 35 = 13 points!!
There were 14 problems tried to solve
Step-by-step explanation: