Vertex form formula: y = a(x-h)^2 +k, with vertex (h,k)
There are multiple ways to find the vertex. One way is to find the roots and then find the x value exactly in between them, because this parabola is symmetrical.
0 = (x - 3)(x + 2), so x = 3 and -2. The point directly in the middle is x = 1/2 = h
To find the y value of the vertex, plug in 1/2 to the equation.
(1/2)^2 - 2(1/2) + 5 = 4.25 = k
y = (x - 0.5)^2 + 4.25
The partial products that Lucas would need to solve this problem would be 3,740 and 187,000 if you are multiplying 374 on the top column and 510 on the bottom column. Or, the partial products Lucas would need is 2,040 and 35,700 and 153,000. Both partial products combination added together would be 190,740.
Number of people that chose salad = 81
Percentage of people that chose salad over meat dish = 27%
Let us assume the number of people on the survey = x
Then
27% * x = 81
(27/100) * x = 81
27x = 81 * 100
27x = 8100
x = 8100/27
= 300
So a total of 300 people participated in the survey.I hope the procedure is clear enough for you to understand. Based on this method you can always solve similar types of problems without requiring any kind of help from outside.
Answer:
-x-30
Step-by-step explanation:
<em>first you need to </em><em>distribute</em><em>:</em>
<em>3(x)+3(-6) -4(x)+ (-4)(3)</em>
<em>Then you </em><em>multiply:</em>
<em>3x+(-18)-4x+(-7)</em>
<em>then you </em><em>combine like terms:</em>
<em>3x-4x= -1x </em>
<em>-18+(-7)= -25</em>
<em>simplified:</em>
<u><em>-1x-30</em></u>
Answer:
friday
Step-by-step explanation:
8th day will be monday
then 32 nd will be monday.
so 36th is friday
