HELP I WILL GIVE 50 POINTS AND BRAINLIEST TO WHOEVER ANSWERS FIRST Graph y>1−3x.
2 answers:
Answer:
The last graph is correct
Step-by-step explanation:
Hello,
<u>First of all, you need to identify the line y = -3x + 1</u>
This is a line so two points are enough to identify it.
-3*0+1 = 1 so (0,1) is a point of this line and
-3*1 + 1 = -2 so (1,-2) is another point of this line.
I attached a graph of this line.
Now, the inequality is y > 1-3x
It means that we are looking for the part of the plan which is (strictly) above this line.
This is not ( ) inequality but a strict equality ( > ) so the points of the line are not included, so the last graph is the correct one.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
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Answer:
Step-by-step explanation:
step 1
we have the points
(-1,0), (-2,0), and (0,2)
Plot the points
using a graphing tool
see the attached figure
The graph of a quadratic function must be a vertical parabola open upward
The vertex is a minimum
The quadratic function in general form is equal to
Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c
(0,2)
For x=0, y=2
substitute
(-1,0)
For x=-1, y=0
substitute
---->
----> equation A
(-2,0)
For x=-2, y=0
substitute
----> equation B
we have the system
----> equation A
----> equation B
substitute equation A in equation B
solve for b
Find the value of a
therefore
The quadratic function in general form is equal to
see the attached figure N 2 to better understand the problem
Answer:
The tree was 175 centimeters tall when Vlad moved into the house.
7 years passed from the time Vlad moved in until the tree was 357 centimeters tall.
Step-by-step explanation:
The height of the tree, in centimeters, in t years after Vlad moved into the house is given by an equation in the following format:
In which H(0) is the height of the tree when Vlad moved into the house and a is the yearly increase.
He measured it once a year and found that it grew by 26 centimeters each year.
This means that
So
4.5 years after he moved into the house, the tree was 292 centimeters tall. How tall was the tree when Vlad moved into the house?
This means that when t = 4.5, H(t) = 292. We use this to find H(0).
The tree was 175 centimeters tall when Vlad moved into the house.
How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?
This is t for which H(t) = 357. So
7 years passed from the time Vlad moved in until the tree was 357 centimeters tall.