Answers:
- Vertex form: y = -2(x-1)^2 + 8
- Standard form: y = -2x^2 + 4x + 6
Pick whichever form you prefer.
=============================================================
Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
Y= 2x-3/4
M is the slope
B is the y-intercept
The answer for your question is 2.25 (decimal), or 2 1/4.
I got this answer by changing both 3/4 to 9/6, which 3/4 = 0.75, and 9/6 = 1.50.
Now, you add both 0.75 and 1.50 together, which gives you 2.25, which is the answer that I got.
Hope this helped!
Plz mark brainliest!
Answer:
x = -3
Step-by-step explanation:
2x - 3y = -12 ------------------(i)
4x + y = -10 -------------------(ii)
Multiply the (ii) equation by 3 and then add the two equations. So, now y will be eliminated and you will get the value of x
(i) 2x - 3y = -12
(ii) * 3 <u>12x + 3y = -30</u>
14x = - 42
x = -42/14
x = -3
Answer:
138 pounds
Step-by-step explanation:
Let the required weight of the patient be x pounds.
We have that,
156 milligrams of medicine is required for a patient weighing 104 pounds.
Then, 207 milligrams of medicine will be required for a patient having weight as shown below,
Weight of the patient = 
i.e. x = 
i.e. x = 
Hence, the patient needing 207 milligrams of medicine will have the weight 138 pounds.
