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2 answers:
<h3>Multiplication Property of Equality is the missing reason</h3>
<em><u>Solution:</u></em>
Given that,
five thirds times x plus 2 equals negative 3
Therefore,
<em><u>Multiplication Property of Equality</u></em>
The Multiplication Property of Equality means that, if both sides of an equation is multiplied by same number, the equation still remains equal
Multiply both sides by 3
<em><u>Subtraction Property of Equality</u></em>
The Subtraction Property of Equality means that, we can subtract the same number from both sides of equation and the equation will still be true
5x + 6 = -9
Subtract 6 from both sides
5x + 6 - 6 = -9 - 6
5x = -15
<em><u>Division Property of Equality</u></em>
The Division Property of Equality means that, if both sides of an equation is divided by same number, the equation still remains true
5x = -15
Divide both sides by 5
x = -3
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Using translation concepts, it is found that:
- The parent function y =
is decreasing across it's domain because it's base, b, is such that 0 < |b| < 1.
- The function f shifts the parent function 8 units up.
- The function f shifts the parent function 5 units right.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is:
It has a base with absolute value between 0 and 1, hence it is decreasing.
The changes to the function are given as follows:
- y -> y + 8, hence the function was shifted 8 units up.
- x -> x - 5, hence the function was shifted 5 units right.
More can be learned about translation concepts at brainly.com/question/4521517
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