Answer:
(- 2, 5 )
Step-by-step explanation:
Given the 2 equations
3x + 4y = 14 → (1)
x = 2y - 12 → (2)
Substitute x = 2y - 12 into (1)
3(2y - 12) + 4y = 14 ← distribute and simplify left side
6y - 36 + 4y = 14
10y - 36 = 14 ( add 36 to both sides )
10y = 50 ( divide both sides by 10 )
y = 5
Substitute y = 5 into (2) for corresponding value of x
x = 2(5) - 12 = 10 - 12 = - 2
Solution is (- 2, 5 )
Y = mx + b
m is your slope AKA rate of change
b is the y intercept.
from the graph we can see that the y intercept (b) is 15. (look at the y axis and see what point the line crosses on the y, here it is 15, in-between 10 and 20)
slope is rate of change. to figure this out remember slope = rise over run:

so pick two points. how much does one point rise after the other point you picked? In the graph it rises 1 square so rise = 1
Now looking at the same two points, how far away from each other are they on the x axis? Looking at the graph they are 2 squares away from each other. so run = 2
Now plug these numbers into the rise over run formula:

Now we have everything we need to put into our formula for a line:


For number 16 you should get:

after you do the same steps again yourself
Just minus 5 feet from the new height which is 13ft, and the equation will be 13-5, and therefore the tree grew 8 feet
Answer:
5=y-intercept
Step-by-step explanation:
the y intercept point is when y has a number but x is 0 so we see what is y (f(x)) and it is 5
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Answer and explanation:</u></h2>
Two events are said to be dependent on each other, if the outcome of the first thing affects the outcome of the second thing in such a way that the probability changes.
Here, the right answer will be = removing a marble from a bag, not putting it back, and then removing a second marble.
Explanation:
Lets suppose there were 10 marbles in the bag at the first place. Now, you removed one marble and did not put it back. So, remaining marbles will be 9. Now, if again you choose a marble, you have 9 marbles to choose from. We can see that probability changes with the event that occurred at first place.
So, this is the right answer.
Rest options are simultaneous one. They are not dependent in any way.