Start by looking at the vertex form of a quadratic function, f(x) = a(x - h)^2 + k. The variables h and k are the values of the vertex. Plug those in to get f(x) = a(x - 4)^2 + 5. To find the variable a, plug in the point given for the x and y values. So, you get (21) = a((8) - 4)^2 + 5. Solve for a algebraically, and you get a = 1. Finally, plug everything in and simplify the equation. You should get that the quadratic function is f(x) = x^2 - 8x + 21. Hope this helps!
Answer:
f(x) = 2x3 + 4
Stretch vertically be a factor of 2:
f(x) = 2*2x3 + 4 = 4x3 + 4
Shift 5 units to the left:
f(x) = 4(x+5)3 + 4
Answer:
The measure of the shortest side is 851 miles
Step-by-step explanation:
Let
x ----> the measure of the shortest side
y ---> the measure of the middle side
z ---> the measure of the longest side
we know that
The perimeter of triangle is equal to
so
----> equation A
the shortest side measures 71 mi less than the middle side
so
----> equation B
the longest side measures 372 mi more the the middle side
so
----> equation C
substitute equation B and equation C in equation A
solve for y
Find the value of x
therefore
The measure of the shortest side is 851 miles
Answer:
The number is -9.
Step-by-step explanation:
If we let the number be x we have the equation 6x + 7 = -47.
6x + 7 - 7 = -47 - 7
6x = -54
x = 054/6
x = -9.
Hi again!
2x + y > 8
The correct answer is option D
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Honestly I don't think we can solve the equation to find the answer. What we can do is to find the boundary line. (I think you know what that is) After that, shading the appropriate area.
y > -2x + 8
Again, credit to my beautiful graphing calculator. Here is how it looks like.
