Solve the following to the problem

Mathematics

1 answer:

algol [13]2 years ago

6 0

Answer:

I think its A

Step-by-step explanation:

I'm ganna do some scechy stuff doda doda

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How do I do this ? I don’t understand

juin [17]

It's just dividing out the factoring to their simplest form.
The bold numbers are the answers that go in the circles.

1. 16 < 8 and 2
8 < 2 and 4
4 < 2 and 2

2. 42 < 14 and 3
14 < 7 and 2

3. 40 < 2 and 20
20 < 10 and 2
10 < 2 and 5

4. I'm not able to see the rest of the factoring tree

6 0

2 years ago

What is the average rate of change from x = −3 to x = −4?

Vika [28.1K]

Answer:

-2

Step-by-step explanation:

Since it would be immensely helpful to know the equation of this parabola, we need to figure it out before we can continue. We have the work form of a positive upwards-opening parabola as

$y=a(x-h)^2+k$

where a is the leading coefficient that determines the steepness of lack thereof of the parabola, x and y are coordinates of a point on the graph, and h and k are the coordinates of the vertex. We know the vertex: V(-3, -3), and it looks like the graph goes through the point P(-2, -1). Now we will fill in the work form equation and solve for a:

$-1=a(-2-(-3))^2-3$

which simplifies a bit to

$-1=a(1)^2-3$

and

-1 = a(1) - 3. Therefore, a = 2 and our parabola is

$y=2(x+3)^2-3$

Now that know the equation, we can find the value of y when x = -3 (which is already given in the vertex) and the value of y when x = -4. Do this by subbing in the values of x one at a time to find y. When x = -3, y = -3 so the coordinate of that point (aka the vertex) is (-3, -3). When x = -4, y = -1 so the coordinate of that point is (-4, -1). The average rate of change between those 2 points is also the slope of the line between those 2 points, so we will use the slope formula to find it:

$m=\frac{-1-(-3)}{-4-(-3)} =\frac{2}{-1}=-2$