√(x+7) = x + 1
Squaring on both sides,
x + 7 = (x + 1)²
x + 7 = x² + 2x + 1
x² + x - 6 = 0
x² + 3x - 2x - 6 = 0
x(x + 3) - 2(x + 3) = 0
(x - 2)(x + 3) = 0
x = 2 or -3
Hope this helps!
Answer:
C
Step-by-step explanation:
Any point (x, y) on the parabola is equidistant from the focus and the directrix.
Using the distance formula
= | y - 3 | ← square both sides
(x - 3)² + (y - 1)² = (y - 3)² ← expand the y- factors
(x - 3)² + y² - 2y + 1 = y² - 6y + 9 ← subtract y² - 2y + 1 from both sides
(x - 3)² = - 4y + 8 ( subtract 8 from both sides )
(x - 3)² - 8 = - 4y ( divide both sides by - 4 )
- (x - 3)² + 2 = y, that is
y = - (x - 3)² + 2 → C
10-- 10,20,30,40,50,60,70,80,90
15-- 15,30,45,60,75,90,105
here are a few. The LCM would be 30.
I hope this helps!!
<span>Arithmetic mean is used to describe the sum of values in a dataset divided by the number of values. It s the average of a given dataset which gives us an idea about the average value in a data set. That said, a mean of 4.3 means in the household sample (the average number of students in the data set falls within probably 4 and 4.7 probably). On the other hand,.a mean of 4.5 means there are more 8th graders than 7th graders. An increase of 0.2 from the 4.3 shows that the number of 8th graders slightly surpasses 7th graders. The principal can predict that there are more students in 8th grade because they have a higher average.</span>
Answer:
Dagmar gets paid a total of $683.43 for completing 209 widgets that week.
Step-by-step explanation:
$3.27*209 widgets = $683.43