Answer:
y = x^2 +6x +8
Step-by-step explanation:
The vertex is (-3, -1), and the vertical scale factor is 1. (You can tell this because the graph goes up 1 unit for 1 unit either side of the vertex.) So, the vertex form of the equation is ...
y = (x +3)^2 -1 . . . . . . . . . vertex form; sometimes called standard form
Expanding this, we get ...
y = x^2 +6x +8 . . . . . . . . also called the standard form equation
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<em>Comment on standard form</em>
There are different versions of "standard form" depending on what you're concerned with and where you are. Please consult your text or other reference material for the version of standard form you need. (The attachments show the conflict with respect to quadratic equations.)
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<em>Comment on the graph</em>
The purpose of the graph attached is to show that the equation we propose produces the same curve as the one given.
By applying the <em>functional</em> theory related to <em>binary</em> operations of functions, we conclude that the resulting expression is equal to ![(f \,\circ \,g) (x) = \frac{\sqrt[3]{3\cdot x} }{3\cdot x + 2}](https://tex.z-dn.net/?f=%28f%20%5C%2C%5Ccirc%20%5C%2Cg%29%20%28x%29%20%3D%20%5Cfrac%7B%5Csqrt%5B3%5D%7B3%5Ccdot%20x%7D%20%7D%7B3%5Ccdot%20x%20%2B%202%7D)
.
<h3>How to find the expression of a division between two functions</h3>
In <em>functional</em> theory, there are five operations that can be used between two functions:
- Addition - (f + g) (x) = f(x) + g(x)
- Subtraction - (f - g) (x) = f(x) - g(x)
- Multiplication - (f · g) (x) = f(x) · g(x)
- Division - (f/g) (x) = f(x) / g(x)
- Composition - (f ο g) (x) = f (g (x))
In this question we are asked to derive the expression of the division between two functions given. If we know that ![f(x) = \sqrt[3]{3\cdot x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7B3%5Ccdot%20x%7D)
and g(x) = 3 · x + 2:
By applying the <em>functional</em> theory related to <em>binary</em> operations of functions, we conclude that the resulting expression is equal to .
<h3>Remark</h3>
The statement is poorly formatted and reports many typing mistakes. Correct statement is shown below:
Let and g(x) = 3 · x + 2. Find (f/g) (x).
To learn more on functions: brainly.com/question/12431044
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Answer:
An experimental research and particularly a quasi experimental study.
Step-by-step explanation:
An <em>experimental research</em> is one where the investigator study the effects from random samples he got and tested. the investigator manipulates parameters to considers some underlying factors in order to arrive at a conclusion. it is usually used to investigate relationships between variable and make comparison. In this case the investigator is conducting a research on how the consumption of oatmeal in adults reduces the level of bad cholesterol, he measures and study the level of bad cholesterol for 6months and then compare their results.
for example, I can conduct an extensive experimental study on the long term effects of exhaust fumes on the passengers (particularly adults between the ages of 25-50) of public transport in Nigeria. this will be studied and their effects will be compared and a conclusion will be reached on the exposure and the non exposure as the case maybe. most underlying conditions of experimental study are under the direct control of the researcher of the investigator. there are three different types of experimental research ; Pre-experimental study, quasi-experimental study and true-experimental study.
Answer:
side lengths are 6, 12, 12, 9, 9
Step-by-step explanation:
The perimeter is the sum of the lengths of the sides:
x + 2x + 2x + (x+3) + (x+3) = 48
7x +6 = 48 . . . . collect terms
7x = 42 . . . . . . .subtract 6
x = 6 . . . . . . . . . divide by 7
Substitute this value into the expressions for the side lengths:
x = 6
2x = 12
x+3 = 9
The side lengths are 6, 12, 12, 9, 9.
Answer:
The additive inverse is 
, and the multiplicative inverse is -2.
Step-by-step explanation:
Hope this helped!
