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The first thing we are going to do for this case is to rewrite the function.
We have then:
y = 3 ^ (2x)
We evaluate the points:
For (1,9):
y = 3 ^ (2 * 1)
y = 3 ^ (2)
y = 9
The point belongs to the function.
For (1/2, 3):
y = 3 ^ (2 * (1/2))
y = 3 ^ (1)
y = 3
The point belongs to the function.
For (-1, -9):
y = 3 ^ (2 * (- 1))
y = 3 ^ (- 2)
y = 1/9
The point does NOT belong to the function.
Answer:
The point (-1, -9) DOES NOT belong to the function.
Least to Greatest: 38%, .4, .5, 5/8
Hint: There are several ways to proceed in this kind of problems, but usually the simplest and the one that will yield the most success on average is substituting.
Look at y variable and the expressions to which it is equal; substitute the easier-looking one in the more complicated.
Applying this, we get: 2x+2=x^2+3x-4
x^2+x-6=0.
Solving this equation of 2nd degree, we have a=1, b=1, c=-6 and we get Δ=25 and the solutions are -3 and 2. Hence, we get that the only possible values for x are -3 and 2.
To get the solutions, we have to also find the corresponding y-values:
For x=-3, y=2x+2=-4. For x=2, y=6.
Hence, the 2 pairs of solutions are: (-3,-4) and (2,6)
The triangle ABC was reflected over the x axis to form triangle A'B'C, hence the measures of the corresponding angles are congruent.
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are<em> reflection, translation, rotation and dilation.</em>
The triangle ABC was reflected over the x axis to form triangle A'B'C, hence the measures of the corresponding angles are congruent.
Find out more on transformation at: brainly.com/question/4289712
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