Vertex form of a parabola
<span>y = a (x - h)^2 + k </span>
<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get,
<span>y = a(x + 4)^2 + 2 </span>
<span>substituting in the point (0, -30) for x and y
</span><span>-30 = a (0 + 4)^2 + 2
</span>solve for a,
<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>
<span>y = -2(x + 4)^2 + 2 </span>
<span>Put y = 0 </span>
<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>
<span>x = -3
x = -5</span>
Answer:
Step-by-step explanation:
Before we differentiate, let us assign a variable to the function. Let y be equal to the function i.e let y = 3√x -2/x²
In differentiation if 
, then 
where n is a constant and dy/dx means we are differentiating the function y with respect to x.
Applying the formula o the question given;
On differentiating the resulting function;
To combine the terms, we will add up by finding their LCM.
The right answer for the question that is being asked and shown above is that:
There are...
15 * 14 * 13 * 12 ways in order to know the four finalists.
This is equal to 32,760 ways i n order to know the four finalists.
Answer:
24 pictures for $5
Step-by-step explanation:
To find out the better value, we have to find the price of a singular picture. To do this, we will divide each number by the amount of pictures.
For the first deal, 36 pictures cost $8, so 1 picture costs about $0.22.
For the second deal, 24 pictures cost $5, so 1 picture costs about $0.21.
Since the second deal costs less, it is a better deal.
Answer: 20%
Step-by-step explanation:
Explanation is in progress of writing:
First, I will divide 60 by 75 and multiply by 100, to find what percent of 75 is 60:
= 
· 100
= 0.8 · 100
= 80%
