Answer:
12x7y3
----------- = 6x4y3
6x3y
Step-by-step explanation:
In dividing these numbers, you simply subtract 6x from 12x and subtract 3y from 7y because 6x and 3y are both in the denominator. 3 is left alone.
The transformations of f(x) = - 2lx - 3| + 1 from the parent function f(x) =|x|
Horizontal Shift: Right 3 Units
Vertical Shift: Up 1 Units
Reflection about the x-axis: Reflected
Vertical Stretch: Stretched
What is Transformation equation ?
Transformation of an equation into another equation whose roots are. reciprocals of the roots of a given equation we replace x→x1. 2.
Given,
Parent function f(x) = |x|
f(x) = - 2 lx - 3| + 1
Assume that f(x) = |x| is y = |x| and,
f(x) = - 2 lx - 3| + 1 is g(x) = - 2 lx - 3| + 1
The transformation from the first equation to the second one can be found by finding a, h, and k
y = a |x−h| + k
find a, h, k in f(x) = - 2lx - 3| + 1
a = -2, h = -3, k = 1
Horizontal shift depends on the value of h,
g(x) = f(x + h) ---- The graph is shifted to the left h units.
g(x) = f(x - h) ---- The graph is shifted to the right h units.
so, h = -3 then horizontal shift will be right 3 units
The vertical shift depends on the value of k,
g(x) = f(x) + k ------- The graph is shifted up k units.
g(x) = f(x) - k -------- The graph is shifted down k units.
so, k = 1 then the vertical shift will be 1 unit up
The sign of a describes the reflection across the x-axis,
−a means the graph is reflected across the x-axis.
Reflection about x-axis is reflected
The value of a describes the vertical stretch or compression of the graph
a > 1, vertical stretch will be narrower
a < 1, vertical stretch will be wider
so, vertical stretch is Stretched
Hence, The transformations of f(x) = - 2lx - 3| + 1 from the parent function f(x) =|x|
HorizontalShift: Right 3 Units
Vertical Shift: Up 1 Units
Reflection about the x-axis: Reflected
Vertical Stretch: Stretched
The graph is given below ↓
To read more about the Transformation equation.
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Answer:
B. 108
Step-by-step explanation:
If two integers are even, then their sum is even
Column A
Column B
1.
Hypothesis
a. If two integers are even
2.
Conclusion
b. then their sum is even
c. two integers are even
d. their sum is even
Answer:
Hypothesis
a. If two integers are even
Conclusion
b. then their sum is even
Step-by-step explanation:
We divide the statement into two parts . The first part is true only when the second is also true. The only way we can reject the hypothesis is that the conclusion is false.
In the statement "If two integers are even, then their sum is even" the part "If two integers are even" would be considered true or false on the basis of "then their sum is even" validity. So if the "then their sum is even" (conclusion ) Part is proved then the "If two integers are even" ( hypothesis) is also true.
Hence the hypothesis is
a. If two integers are even
and
Conclusion is
b. then their sum is even
Answer:
Scale = ¼
Step-by-step explanation:
See attachment for complete question.
In the attached, we have.
Width = 4 units. ----- Orange
Width = 16 units ------- Black
Required
Determine the scale of dilation
The scale of dilation can be calculated as:
Scale = Width(orange)/Width (black)
Scale = 4/16
Scale = ¼
Hence, the scale of dilation is ¼