9514 1404 393
Answer:
B. x = -6, x = 4
Step-by-step explanation:
The constant on the left wants to be 1, the square of half the x-coefficient. We can get it to be that value by adding 8 to the equation.
x² +2x +1 = 25
(x +1)² = 25 . . . . . . . rewrite the left side as a square
x +1 = ±√25 = ±5 . . . . take the square root
x = -1 ±5 . . . . . . . . . subtract 1
x = -6 or x = 4
Find the domain of the given funciton
domain is numbers you can use in the function for x
so fractions
remember
never divide by 0
find what number makes denomenator 0 and restrict that
x-8=0
x=8
the domain is all real numbers except fo 8
Answer:
49.85
Step-by-step explanation:
41 is the mean, so half of the daily requests are above that number, half below, the question is about numbers above the mean, so the lower numbers won't be included in the percentage.
The difference between 59 and 41 is 18. The standard deviation given is 6.
18 ÷ 6 = 3 So that is 3 standard deviations. The empirical rule states that 99.7 of all values are within 3 standard deviations from the mean. But we are looking at only the upper half of those values so 99.7 ÷ 2 = 49.85 %
If the answer asks for approximate, you could round to 49.9 or 50.
And tell the math people to learn the correct spelling of fluorescent!
Q6.
The slope-intercept form: y = mx + b
m - slope
b - y-intercept
We have: slope m = 3, y-intercept (0, 4) → b= 4
<h3>Answer: y = 3x + 4</h3>
Q7.
2x + 4y = 4 |subtract 2x from both sides
4y = -2x + 4 |divide both sides by 4
y = -0.5x + 1
Only second graph has y-intercept = 1.
<h3>Answer: The second graph.</h3>
Q8.
The point-slope form:
We have
Substitute:
<h3>Answer: The first equation.</h3>
Q9.
It's a vertical line. The equation of a vertical line is x = <em>a</em>, where <em>a</em> is any real number.
<h3>Answer: x = -4</h3>
