What is the range of the function?
1 answer:
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• Given the table of values, you can identify these points:
If you plot them on a Coordinate Plane, you get:
As you can observe, it is a Linear Function.
• The equation of a line in Slope-Intercept Form is:
Where "m" is the slope of the line and "b" is the y-intercept.
In this case, you can identify in the graph that:
Therefore, you can substitute that value and the coordinates of one of the points on the line, into this equation:
And then solve for "m", in order to find the slope of the line.
Using this point:
You get:
Therefore, the equation for the data in Slope-Intercept Form is:
Hence, the answer is:
• It represents a Linear Function.
,• Equation:
1) Volume = L × W × H = 8 × 3 × 5 = <u>120 m³</u>
2) Volume = s³ = 17³ = 17 × 17 × 17 = <u>4913 cm³</u>
3) Volume = s³ = 30³ = 30 × 30 × 30 = <u>27000 cm³</u>
4) Volume = L × W × H = 13 × 5 × 7 = <u>455 cm³</u>
5) Volume = s³ = 15³ = 15 × 15 × 15 = <u>3375 cm³</u>
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Formula's applied:
(a) Volume of rectangle: Length × Width × Height
(b) Volume of Cube: (side)³
Answer:
The length of each side of the city is 250b
Step-by-step explanation:
Given
--- tree distance from north gate
--- movement from south gate
--- movement in west direction from (b)
See attachment for illustration
Required
Find x
To do this, we have:
--- similar triangles
So, we have the following equivalent ratios
Where:
Substitute these in the above equation
Express as fraction
Cross multiply
Open bracket
Rewrite as:
Expand
Factorize
Factor out x + 284
Split
Solve for x
x can't be negative;
So:
