Factor the numerator to get:
(-3z(z+5))/(z+5) now you notice that (x+5) cancel out leaving:
-3z
Answer: -4
The formula for slope is rise/run. This means that between two points, you have to see the distance going up and down/ left and right.
Looking at points (0,-1) and (3,-1), you can see that the height difference is 4 units. This means that the rise is 4.
rise/run
4/run
Left and right, the difference is only one unit.
4/run
4/1
4
This graph is also negative, so let’s add that in.
-4
This is your answer! I know it wasn’t one of the options you provided, but I’m pretty sure that this is the answer.
Hope this helps comment below for more questions :)
Considering that the grows at a constant rate we can form an equation where x = how many years after it was planted
and y = its height
Now we just need to find how many feet it grows each year. To do that we just need to compare its height from a certain age to another:
6 years after it was planted : 7 feet,
so x=6 and y = 7
9 years after it was planted: 16 feet
so x= 9 y=16
With thay we can conclude that in 3 years , the tree grew 9 feet. To discover how much the tree grow each year we just nee to divide 9 feet by 3 years which is 3 feet every year.
To write the equatopn now we just need to find the y-intercept which we can discover by setting x to 0:
If in 6 years after the tree was planted it is 7 feet long , we can discover how long it was when it was planted by subtracting 6 years of growth (The slope ) which is 3
7 - 6(years)×3(feet the tree grow each year)
7 - 18 = -11
The tree was -11 feet long when it was planted
which is our y-intercept
( I know it doesnt make sense , but if you apply to a graph it will make more sense )
Now we can make the equation
y = 3x -11
Answer:
1. D
2. x=65
Step-by-step explanation:
Hi!
Your answer is D because 78 is 120% of x
120% in decimal point is 1.2.
So it's 1.2x is the same as 120% of x
For question 8:
1.2x=78
Isolate x by divide 1.2 on both sides
78/1.2=65
Because December is really cold