Answer:
Your answer will be
y=2x-15.5
Step-by-step explanation:
Hi, there you must know the slope-intercept form which is
y=mx+b
m=slope
b=y-intercept
You can also use
the slope formula which is

in this case
it will look like this
=
=-2
So the slope is -2
Now we will find the y-intercept
-7.5=2(4)+b
-7.5=8+b Subtract 8 both sides
-15.5=b
Your y-intercept is -15.5
Hope this helps
Answer:
Hi! The answer to your question is 0.375
Step-by-step explanation:
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Hope this helps!!
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Answer:y=-5(x+11)^2 -28
Step-by-step explanation: Okay think about what you know about translations and transformations of parent functions. In this case, the parent function is x2. So what now?
First, the problem states that the parabola opens DOWN. This means that you should look for a negative leading coefficient. This narrows your options down to C or D. (-5 is the leading coefficient)
Now starting with the x2, the vertex would be at (0,0), but in this problem it is at (-11,-28). That means it was TRANSLATED 11 spots in the negative x-direction and 28 spots in the negative y-direction.
Look at your options, when a number is being added directly unto the x variable, such as in answer C, it moves in the negative x-direction. This tells you that C has to be your answer.
I hope that helps!
Answer:
C
Step-by-step explanation:
A piece wise function involves two or more functions over specific intervals. The equations of the two lines are the following y=x+1 and y=-x+2. The line y=-x+2 continues to the right and has an open circle at the end. So this point is not included. This means the interval is a greater than sign but not equal to. This means C is the answer.