<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.
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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:
x > -440
Step-by-step explanation:
1/8x + 25 < 80 + 1/4x
1/8x < 55 + 1/4x
-1/8× < 55
x > -440
Answer:
54 foot long pieces
Step-by-step explanation:
Jack has 18 yards of fabric that he wants to cut into pieces that are each 1 foot long. How many one-foot long pieces can Jack create? Come up with two different strategies for solving. (1 yd = 3 ft)
Step 1
Convert yards to foot
1 yd = 3 ft
18 yards = x
Cross Multiply
x = 18 × 3 ft
= 54 ft
Step 2
He wants to cut into pieces that are each 1 foot long. How many one-foot long pieces can Jack create?
This is calculated as:
1 foot = 1 piece.
54 feet = x
x = 54 × 1 piece
x = 54 pieces
Answer:
x=0
y=6
Step-by-step explanation:
3y- 12x = 18
2y-8x= 12
rearrange the equation
2y-8x=12
add 8x to both sides
2y=8x+12
divide both sides by 2
y=4x+6
now substitute it into 3y-12x=18
3(4x+6)-12x=18
simplify
12x+18-12x=18
simplify
18=18
x=0
substitute to find y
2y-8(0)=12
2y=12
y=6
Recheck:
3(6)-12(0)=18
18=18
2(6)-8(0)=12
12=12
Q: Reflect B (2,7) over the y-axis
Answer:
(-2,7)
Hope this helps! Feel free to comment on this reply if you have any questions. :)