Solve for 'x' in the following equation, explaining each step. 3^ (-3x+7) = 3^ (7x-13)
1 answer:
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Answer:
Th Range is [0, -∞)
Step-by-step explanation:
f(x) = 2 - x
w(x) = x - 2
We want to find the range of (f * w)(x).
First, we need to find (f * w)(x), which is the multiplication of the function f(x) and the function w(x). Lets use algebra to find (f * w)(x):
This is a quadratic function (U shaped), or a parabola. The graph is attached.
The range is the set of y-values for which the function is defined.
We see from the graph that the parabola is upside down and the highest value is y = 0 and lowest goes towards negative infinity. So the range is from 0 to negative infinity. Or,
0 < y < ∞
In interval notation, that would be:
[0, -∞)
Answer:
height of the tree is 30 feet
Step-by-step explanation:
a tree casts a shadow 42 feet long . at the same time, a person 5 feet tall casts a shadow 7 feet long.
shadow of a 5 feet tall person is 7 feet long
Let x be the height of the tree
shadow of a 42 feet tree is x feet long
Make a proportion
cross multiply
divide by 7 on both sides
x=30
So height of the tree is 30 feet