Answer:
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Answer:
a) f(x) = -2x² + 4x
Explanation:
To find the standard form we need to solve the equation as:
So, the standard form is f(x) = -2x² + 4x
To make the graph we will use the initial form because when the equation is written like f(x) = a(x-h)²+k, the coordinate (h,k) is the vertex of the parabola
So, in this case, the vertex of the parabola is the point (1, 2)
On the other hand, we can find a point in the graph. For example, if x is equal to 0, then f(x) is equal to:
f(x) = -2(x-1)² + 2
f(0) = -2(0-1)² + 2
f(0) = -2(-1)² + 2
f(0) = - 2 + 2
f(0) = 0
So, the parabola passes through the point (0,0) and has a vertex in the point (1, 2). Then, the graph is:
Answer:
4
Step-by-step explanation:
Based on your math expression:
7-15 = -8
-2*(-8) = 16
16 / 4 = 4
Answer:
The answer to your question is z =
Step-by-step explanation:
Process
I'll solve this problem using proportions, I hope it helps you
We consider the adjacent side of both triangle
Adjacent side small triangle = x Adjacent side big triangle = 10
Proportion of these sides =
Now, consider the opposite side of both triangles
Opposite side fo small triangle = 2 Opposite side big triangle = x
Proportion =
Now, equal both proportions and solve for x
x² = 20
x =
x = 2
Using Geometric mean
x =
Using the Pythagorean theorem to find z
z² = (√20)² + 2²
z² = 20 + 4
z² = 24
z =
Answer:
x is less than or equal to 2 (x_<2)
Step-by-step explanation:
solved the equation