0 = f(x) = (x - r)(x - s) = x² - (r+s) + rs
We have r=1.5+√2, s=1.5 -√2 so r+s = 3 and
rs = (1.5+√2)(1.5 - √2) = 1.5² - (√2)² = 2.25 - 2 = 0.25
f(x) = x² - 3x + -.25
For integer coefficients we mulitply by 4,
g(x) = 4f(x) = 4x² - 12x - 1
Answer: 4x² - 12x - 1 = 0
Answer:
As x approaches infinity, f(x) approaches negative infinity
As x approaches negative infinity, f(x) approaches negative infinity
Step-by-step explanation:
Because the function goes in the downward direction on both sides, it would be negative infinity for both.
It's basically saying, as the x values go towards the positives, the y values go towards the negatives
and as the x values go towards the negatives, the y values go towards the negatives.
The slope is ∞ , line is a vertical line parallel to y axis.
<h3>What is a Straight Line Function ?</h3>
A straight line function is a function that can be represented by y = mx +c , where m is the slope of the line and c is the intercept on the y axis.
There are two points given for a line ,
The slope is represented by
m = ∞
which means the line is a vertical line parallel to y axis.
To know more about Straight Line Function
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Answer:
x = -26
Step-by-step explanation:
Multiply both sides by the lowest common multiple of 4 and 3, which is 12.
3(x+2) = 4(x+8)
3x + 6 = 4x + 32 --- distribute the 4 and 3
6 = x + 32 --- subtract 3x from both sides
-26 = x --- subtract 32 from both sides
x = -26
Answer: it will take him 4.5 hours to cover same distance
Step-by-step explanation:
Marathon runner covered the whole distance in 4 hours running at a constant speed of 8.1 km per hour.
Speed = distance / time
Distance = speed×time
Therefore, distance covered by the marathon runner in in 4 hours, running at a speed of 8.1 km per hour is
8.1 × 4 = 32.4 kilometers
if he decreased the speed to 7.2 km per hour, the distance remains 32.4 kilometers. Therefore,
At 7.2 km per hour, the time it would take him to cover the same distance would be
Distance/ speed = 32.4/7.2 = 4.5 hours
