Answer:
< (less than)
Step-by-step explanation:
since abs value changes it to positive it would be
5 and 9
5 < 9
The answer is b) y = 3x + 3.
To find this, we first need to find the slope. The slope formula is listed below.
m = (y2 - y1)/(x2 - x1)
In this equation, m is the slope, and (x1, y1) is the first point, where (x2, y2) is the second point. We'll use (2, 9) and (3, 12) for the points.
m = (y2 - y1)/(x2 - x1)
m = (12 - 9)/(3 - 2)
m = 3/1
m = 3
Now that we have the slope at 3. we can use slope intercept form and one point to solve for the y-intercept. We'll use (2, 9) as the point.
y = mx + b
9 = 3(2) + b
9 = 6 + b
3 = b
When we use the slope and intercept together to get the equation. y = 3x + 3
The height and radius that will give us the smallest amount of paper, should have should have the perfect dimension, in that the diameter should be equal to the height. thus let the diameter be x, the height will be x and the radius will be x/2
thus the volume of the cone will be:
V=1/3πr^2h
=1/3*π*(x/2)^2*x
=0.262x^3
hence the value of x will be:
33=0.262x^3
x^3=125.95
x=(125.95)^(1/3)
x=5.0126=5.01 cm
thus the diameter=height=5.01cm
<span>The price for the three bags of chips is (3 x 2.50) - 2.50/2, because one of the bags will have 50% off. This makes $6.25. Divide this by 100 to find 1%, then multiply by 5 to find 5% — this tells you the amount of sales tax to add on. (6.25/100) x 5 = 0.31 to two decimal places. The final amount for the total purchase is 6.25 + 0.31 = $6.56.</span>
