Answer:
m= rise of the bank balance over/the increase of time y= is your bank balance x=is the time in weeks b= is your y-intercept when x=0
Step-by-step explanation:
To write the equation use y-intercept formula which is y=mx+b
Answer:
400
Step-by-step explanation:
The current number is 100, it doubles every ten days, and you're asking what the size will be in twenty days.
Beginning:
100 ants (ten days pass)
100 x 2 = 200
Middle:
10 of the 20 days have passed
Your new number is 200 ants
End:
200 ants (ten days pass)
Since every ten days the size doubles: 200 x 2 = 400
400 ants after 20 days
Hey there!
Slope intercept form is defined as:
y = mx +b
In this form for lines, m is the slope, and b is the y intercept. Hence, slope intercept. That means that in order to write it in this form, we need to know both the slope and y intercept. We'll start with the former.
Slope is defined as ride over run, or up over right (you know it's negative when it goes left). In order to calculate this, we can take two points that lie directly on a coordinate and put them into a fraction as rise/run.
We have;
(0,3) and (5,9)
As we can see, the difference between the two points is that (5,9) is 5 more to the right, and is 6 higher. We get 6/5. We can even see that in the coordinates, because they're written as (x, y). Additionally, you can use the slope given two points formula:
y2-y1/x2-x1 =
9-3/5-0 = 6/5
Notice how we get the same thing, because in both methods you're finding the difference between the two coordinates based off of rise/run. That's why it's y2 minus y1.
Now that we have our slope, we need the y intercept. The y intercept is simply where the line crosses the y axis. As we can see, it crosses at (0,3) - so the intercept is 3. Now we can create our equation
Slope = 6/5
Y intercept = 3
y = mx + b --> y = 6/5x + 3
Your answer is A, the first option.
Hope this helps!
Answer:
BC = 4
Step-by-step explanation:
The the ratio for the corresponding sides of the two triangles would be equal. Therefore:
6/x = 3/2
Cross multiply
x*3 = 2*6
3x = 12
3x/3 = 12/3
x = 4
✅BC = x = 4
7 more boxes because if you take 16 away from 100 you get 84 then you divide that by 12 and get 7 boxes