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).
2/3= 0.6
3.06 would be the answer I believe.
Hope this Helps!!
Answer:
E, B and A
Step-by-step explanation:
Answer:
The right order is:
- <u>0.085</u>
- <u>1/3</u>
- <u>2/5</u>
- <u>60%</u>
- <u>3/4</u>
- <u>78%</u>
- <u>1.05</u>
Step-by-step explanation:
To identify the right order of the numbers given in order from the smallest to largest, you first must convert all the numbers to the same mode (fractions, decimals or percentages), in this case, I will transform all the numbers to decimals, for this you must divide the fractions or operate the percentages, and you will obtain:
- 0.085 = 0.085
- 1/3 = 0.33333333333
- 60% = 0.6
- 2/5 = 0.4
- 3/4 = 0.75
- 1.05 = 1.05
- 78% = 0.78
How you can see, <em>in this form is easier than the original form, now you can identify that 2/5 (0.4) is smaller than 60% (0.6) and 1.05 is bigger than 78% (0.78)</em>.
