The options Patel has to solve the quadratic equation 8x² + 16x + 3 = 0 is x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot.
<h3>Quadratic equation</h3>
8x² + 16x + 3 = 0
8x² + 16x = -3
8(x² + 2x) = -3
- Using completing the square
8(x² + 2x + 1) = -3 + 8
8(x² + 1) = 5
(x² + 1) = 5/8
- Taking the square root of both sides
(x + 1) = ± √5/8
x = -1 ± √5/8
Therefore,
x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
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There would be a 10% chance that they would have the same birthday
Answer:
$1125
Step-by-step explanation:
To find percentage of something, we always take the percentage, convert it to decimal by dividing by 100, and then multiply that decimal with the number given.
Here, we want to find 250% of $450. First, lets convert 250% to decimal:
250/100 = 2.5
So, 250% = 2.5
Now we multiply this with $450 to find rent in Manhattan:
2.5 * 450 = $1125
That's a whooping price of $1125 in Manhattan!!
Answer:
Step-by-step explanation:
We want to find the equation of the line that goes through: !6,-10) and is perpendicular to the line
Let's simplify the equation of the line to get:
The slope of this line is -5.
The perpendicular to this line has a slope of
The equation going through (6,-10) is
We substitute to get;
Expand;
First you need to divide 64 by 75 and then multiply by 100 which is 85.3% which then you need to find the average of the 2 which will be (85.3+x)/2=88 where x= the value of the second test.
Then you will need to isolate the x with the following steps:
- multiply each side by 2 making it 85.3+x=176
- Subtract 85.3 from each side
- this results in 90.7
