The points where the 2 graphs intersect is where x = 0 and x = 2.
- 2 2
x = INT x dA / INT dA
0 0
INT dA = INT -x^2 + 4x + 3 - (x^2 + 3 ) dx = INT -2x^2 + 4x
= -2 x^3/3 + 2x^2
= 2.667 between 0 and 2
xdA = -2x^3 + 4x^2 INT xdA = -x^4/2 + 4x^3/3 = 2.667
centroid = 2.667 / 2.667 = 1 (x = 1)
Answer:
72
Step-by-step explanation:
Dont worry, these problems are tricky! The answer is 72. All you have to do to find the answer is multiply 12x6. For example, if it was asking '1/8 of ... is 12' then you would multiply 12x8.
Hope this helps! I would really appreciate it if you marked me brainliest! :)
Answer:
Vertex form
y = -4(x + 3)^2 + 10
Standard form;
y = -4x^2-24x - 26
Step-by-step explanation:
Mathematically, we have the vertex form as
y = a(x-h)^2 + k
(h,k) represents the vertex
We have h as -3 and k as 10
y = a(x+3)^2 + 10
To get a, we substitute any of the points
Let us use (-1,-6)
-6 = a(-1+3)^2 + 10
-6-10 = 4a
4a = -16
a = -16/4
a = -4
So we have the equation as;
y = -4(x+3)^2 + 10
For the standard form;
We expand the vertex form;
y = -4(x + 3)(x + 3) + 10
y = -4(x^2 + 6x + 9) + 10
y = -4x^2 - 24x -36 + 10
y = -4x^2 -24x -26
The answer would be 93 cents divide it by 2 since you want to share with someone and you would have 46 cents and a nickel for both people
Answer:
(b) x ≤ -4
Step-by-step explanation:
There are a few things to note when reading an inequality on a number line.
The number line would contain the following:
i. <em>circles</em>: These can be closed or open. Closed circles are denoted by a shaded small circle showing that the point or number shown on the number line is included in the inequality. Open circles are denoted by an unshaded small circle showing that the point or number shown on the number line is not included in the range of inequality.
ii. <em>arrows</em>: An arrow can point to the right or left. When it points to the right, that means the values greater than the number specified on the number line are included in the range. When it points to the left, the values less than the number are included.
From the given number line,
The type of circle is a closed circle since it is shaded. This means that the number pointed at on the number line (-4 in this case) is included in the range.
Also, the arrow is pointing leftwards. This means that values less than the number pointed at (-4 in this case) are included in the range.
Therefore, the inequality should read,
x ≤ -4
This shows that all values of x less than or equal to -4 are included in the range.
