The following integer values of x satisfy the given inequality,
4, 5, 6, 7, 8
What is an inequality?
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made using inequality.
Solving the Inequality
The given inequality is,
5x + 4 > 19
5x > 19 - 4
5x > 15
x > 15/5
x > 3
So, the required values of x must be greater than 3 in the given interval, [2,8]
Thus, the integer values of x in the the interval [2,8] that satisfy the given inequality are 4, 5, 6, 7 and 8 (∵ Square brackets of an interval denote inclusion of the terminal values).
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Answer:
Step-by-step explanation:
So generally a direct proportion can be expressed as:
essentially where the y/x is equal to some constant value.
Whenever you have an inverse proportion, you can generally express it as:
where the product of x and y is equal to some constant value.
So we can check for inverse proportion, by seeing if the xy product is constant
1 * 420 = 420
2 * 210 = 420
3 * 140 = 420
Since the xy (or technically wp, or in general the product of the independent variable and dependent variable) product is constant, this relationship can generally be expressed as:
We can divide both sides by p, so we can isolate the dependent variable (p)
<em>Rigid transformation</em> is a <u>method</u> that requires <em>changing</em> either the <em>orientation,</em> <u>size</u>, or <em>dimensions</em> of a given <em>object.</em> Thus the <u>transformation</u> that could be used is: <u>Translate </u>triangle ABC so that point C lies on point E to confirm ∠C ≅ ∠E.
<em>Rigid transformation</em> is a <u>method</u> that requires <em>changing</em> either the <u>orientation</u>,<em> size</em>, or <em>dimensions</em> of a given <em>object.</em> this process thus produces a required image of the given object. Types of <em>rigid transformation</em> include <u>reflection</u>, <em>dilation</em>, <u>translation</u>, and <em>rotation</em>.
- <u>Rotation</u> is a method that can be used to <u>change</u> the <em>orientation</em> of a given <em>object.</em>
- <u>Translation</u> requires <em>moving</em> every point on the given object in the <u>same</u> direction and distance.
- <u>Dilation</u> involves <u>resizing </u>the object.
- <u>Reflection</u> is a method used to flip the given object about a <u>reference</u> point or line.
Thus <em>considering</em> the given question, the <u>transformation</u> that would be used is: <em>Translate</em> triangle ABC so that point C lies on point E to confirm ∠C ≅ ∠E.
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For best fit, it allows you to check the overall relationship of the data (so it can show a positive or negative correlation). So you can make predicted measurements for the future based on the overall relationship of the data.
However, with outliers it can skew your data by a little- to large amount depending on the difference from the 'majority' of the data you have.
If points are way out- the line of best fit won't be very accurate since it's just an overall average of points.
If the points are mostly together (i.e not a lot of 'crazy' outliers)- then the line of best fit is a good relationship. You can use the r^2 value to find out whether the relationship is close or not.
Hope this helps with your brainstorming :>