The first step in solving the inequality is to distribute –4 to get -8x + 4 > 5 - 3x
<em><u>Solution:</u></em>
Given inequality is:
The first step in solving the inequality is to distribute -4 to terms inside the bracket in left side of equation
This is done according to BODMAS rule
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right
Thus in given inequality, brackets has to solved first
This is done by using distributive property
a(b + c) = ab + bc
Therefore,
Thus, the inequality becomes,
Thus solution to given inequality is found
There are 49 ways to make 50 cent in change
By applying the concept of transformation, the <em>transformed</em> function g(x) = √[(3/2) · x] is the consequence of applying a <em>stretch</em> factor of 3/2 on the <em>parent</em> function f(x) = √x.
<h3>How to compare two functions by concepts of transformation</h3>
In this question we have a <em>parent</em> function g(x) = √[(3/2) · x] and a <em>transformed</em> function f(x) = √x. Transformations are operations in which parent functions are modified in their relationships between inputs and outputs.
In this case, the difference between f(x) and g(x) occurred because of the application of a operation known as <em>vertical</em> stretch, defined below:
f(x) = g(k · x), k > 0 (1)
Where k is the <em>stretch</em> factor. There is a compression for 0 ≤ k < 1.
By applying the concept of transformation, the <em>transformed</em> function g(x) = √[(3/2) · x] is the consequence of applying a <em>stretch</em> factor of 2/3 on the <em>parent</em> function f(x) = √x. (Right choice: C)
To learn more on transformations: brainly.com/question/11709244
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this is the expression: 2x - 1 = x. in this scenario, x = 1
A = bh
1440 = b * 32
1440/32 = 45
1440 = 45 * 32
b = 45
