Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is represented by the formula
. We can write an equation in point-slope form first, then convert it to that form.
1) First, find the slope of the line. Use the slope formula
and substitute the x and y values of the given points into it. Then, simplify to find the slope, or
:
Thus, the slope of the line must be 1.
2) Now, since we know a point the line intersects and its slope, use the point-slope formula
and substitute values for
,
, and
. From there, we can convert the equation into slope-intercept form.
Since
represents the slope, substitute 1 in its place. Since
and
represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

This is a combination problem. The approach to this is by using the nCr method, where n is the number of total objects and r is the number of success. For example, if you want to get 3 red out of the total 4, then that would be 4C3. That means,
4C3 = 4!/3!(4 - 3)! = 4 ways
If you want to get 2 green out of the total 6, then that would be 6C2. That means,
6C2 = 6!/2!(6-2)! = 15 ways
Therefore, there are a total of 4+15 = <em>19 ways</em>.
Answer:
45.6 mph
Step-by-step explanation:
Well,
If Bird A is EXACTLY 5 times as fast as Bird B, then it can reach 228 mph and Bird A can only reach 45.6 mph.
Given this equation:

That represents t<span>he height of a tree in feet over (x) years. Let's analyze each statement according to figure 1 that shows the graph of this equation.
</span>
The tree's maximum height is limited to 30 ft.
As shown in figure below, the tree is not limited, so this statement is false.
<span>
The tree is initially 2 ft tall
The tree was planted in x = 0, so evaluating the function for this value, we have:
</span>

<span>
<span>So, the tree is initially

tall.
</span>
Therefore this statement is false.
</span>
Between the 5th and 7th years, the tree grows approximately 7 ft.
<span>
if x = 5 then:
</span>

<span>
</span>if x = 7 then:

So, between the 5th and 7th years the height of the tree remains constant
:

This is also a false statement.
<span>
After growing 15 ft, the tree's rate of growth decreases.</span>
It is reasonable to think that the height of this tree finally will be 301ft. Why? well, if x grows without bound, then the term

approaches zero.
Therefore this statement is also false.
Conclusion: After being planted this tree won't grow.
Answer:
none of the given options is true
Step-by-step explanation:
Given: u=(-8,8) , v= (-1,2)
To find: vectors
such that 
Solution:
A vector is a quantity that has both magnitude and direction.

Let 
So,

So, u = 
So, none of the given options is true