The correct answer for this question is "<span>|x-6| > 4."
</span>All real numbers more than 4 units from 6 (in an absolute value inequality).
We need to translate this sentence into a mathematical inequality.
"... units from 6 ..."
This means that the distance from 6 to a certain number.
x - 6
Since, we are talking about distance, place it inside an absolute symbol.
Answer:
Step-by-step explanation:
L = 2W + 5
A = LW = 63
L = 63/W
W=63/L
L = 2W + 5
63/W = 2W + 5
63 = 2WW + 5W
2WW + 5W - 63 = 0
2WW + 5W - 63 = 0
is already in quadratic equation form: ax^2 + bx + c = 0
use the quadratic formula to solve for two solutions:
x = ( -b +- sqrt( bb - 4ac ) ) / 2a
the two solutions are:
x = 9/2
x = -7
you cant have a negative solution for length so use the positive one
solve for length:
L=5+2(9/2)
L=5+18/2
L=5+9
L=14
<h3>Answer:</h3>
a, b, c) see the attachment
d) y = -34.4762(x -2.44268)² +281.613
<h3>Explanation:</h3>
Using Desmos is pretty straightforward for doing what the problem statement asks. You make a table, then write an equation for y₁ in terms of x₁ using the tilde (~) for the equal sign. Desmos chooses values of the coefficients to make the curve of best fit and lists those for you.
For part (b) of your question, you will have to copy the values into the form of the equation: replace "a" with its value, "b" with its value, "c" with its value.
The vertex point has been highlighted on the curve, so you can read its coordinates on the graph.
_____
The equation you write relating x₁ and y₁ can be written in vertex form, so you can have Desmos tell you the appropriate numbers directly. (See the second attachment.) As it works out, you don't have to, because the "a" value and the vertex coordinates are all you need to write the equation in vertex form.
Answer:
The conversion from yards to feet is 3 to 1.
Using this scenario, the football player ran 27 feet to the end zone for a touchdown.
Hopefully this helps! Feel free to mark brainliest!