Answer:
3(4x - 1)(2x + 3)
Step-by-step explanation:
Rearrange the equation into standard form
Subtract 9 - 30x from both sides
24x² + 30x - 9 = 0 ← in standard form
Take out 3 as a common factor
3(8x² + 10x - 3) = 0 ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term
product = 8 × - 3 = - 24, sum = 10
The factors are - 2 and + 12
Use these factors to replace the x- term, that is
8x² - 2x + 12x - 3 ( factor the first/second and third/fourth terms )
2x(4x - 1) + 3(4x - 1) ← take out the common factor (4x - 1)
(4x - 1)(2x + 3)
24x² + 30x - 9 = 3(4x - 1)(2x + 3) ← in factored form
Answer:
.471204582102510
Step-by-step explanation58210520152011
Answer:
Slope of the line y = x + 10 is 1. So, any straight line perpendicular to this must be having slope of (-1).
Let, the line be y = - x + b and it passes through (15, -5).
So, 15 = 5 + b
b = 10.
So, equation of that line: y = -x + 10
Or, x + y = 10.
Y-intercept of the line = 10 units.
<u><em>Step-by-step explanation:</em></u>
<u><em>Below are an example using the data values</em></u>
<u><em>{ 11 , 10 , 17 , 18 }</em></u>
<em><u>Step 1: What is MAD?</u></em>
MAD is the average distance between each data value. <MAD> is used to see variation of the data. The larger the MAD, the further apart the numbers are.(and vice versa)
<em><u>Step 2: Find the mean</u></em>
11 + 10 + 17 + 18 = 56
56/4 = 14
<u><em>Step 3: Formula to find the Absolute Deviations or distance of the data value to the mean</em></u>
Find the absolute value of the difference between each data value and the mean: | data value – mean | or I mean - data value I
<u><em>Step 4: Find the Absolute Deviations</em></u>
14 - 11 = 3
14 - 10 = 4
17 - 14 = 3
18 - 14 = 4
<em><u>Step 5: FInd the mean of the Absolute Deviations or MAD</u></em>
3 + 4 + 3 + 4= 14
14/4 = 3.5
<h3><u><em>
Hope this helps!!!
</em></u></h3><h3><u><em>
Please mark this as brainliest!!!
</em></u></h3><h3><u><em>
Thank You!!!
</em></u></h3><h3><u><em>
:)
</em></u></h3>
To find the x-intercept, throw in 0 for y:
So the x-intercept is (2,0).
To find the y-intercept, throw in 0 for x:
So the y-intercept is .