Answer:
Part A) The number line in the attached figure
Part B) The absolute value equation is 
Step-by-step explanation:
Part A) Represent these two distances on a number line
we know that
The minimum distance between two fence posts is 4 feet, and the maximum distance is 10 feet
Let
x ----> the distance between the two fence post
so
The interval is -------> [4,10]
using a graphing tool
see the attached figure
In a number line the solution is the shaded area at right of x=4 (close circle) and at the left of x=10 (close circle)
Part B) Write an absolute value equation that represents the minimum and maximum distances
Find the midpoint of the interval [4,10]
substitute the values
The distance from the midpoint to the endpoints of the interval is 3 feet
so
The absolute value equation is
<em>Verify</em>
<u>Solve the absolute value</u>
case 1) positive value
Solve for x
----> maximum distance
case 2) negative value
Solve for x
----> minimum distance
Do you know the Rational Roots Theorem? You could dream up possible rational roots by writing them in the form
plus or minus {1,2, 3,6} OVER plus or minus {1,2,5,10}. For example, 3/10 is rational and just might be a rational root. Next, determine whether or not this is a rational root here thru synthetic division.
If you do not know this theorem, consider using one of the following:
quadratic formula
completing the square
graphing (look for the x-values at which the parabolic graph here crosses the x-axis).
Answer:
b) $41.85
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 45 × 7/100
Discount = 45 x 0.07
<em>You save = $3.15</em>
Final Price = Original Price - Discount
Final Price = 45 - 3.15
<em>Final Price = $41.85</em>
hope this helps and is right. p.s. i really need brainliest :)
Answer:
maybe because it is the only thing they can afford?
Step-by-step explanation:
this has many solutions to it, but to me it is simply because wifi is stationary and companies don't need to keep upgrading their systems to help them get internet in remote areas, so it is easier to find a place called home. but other than the wifi being great band-width strength, i can't see a reason why people (kids specifically) can't use data while on the go because some data plans can make it even cheaper than long-term wifi plans and at the same time some can also have signal strength that is acute to having home-wifi. and even better yet, you can still have mobile data inside your home without any difference in signal strength. so i say other-wise we could one-day ditch the old way of getting internet
