Answer:
8 hours
Step-by-step explanation:
Let's first find how many inches the candle would have burned in 1 hour.
6 in:12 hours
x: 1 hour
We can divide 12 by 12 to get 1. This means we need to divide 6 by 12 to get x
x=1/2 inches
1/2 inches:1 hour
4 inches: x hours
We divide 4 by 1/2 to get 8. 1/2*8=4. This means...
x=1 hour*8=8 hours
Replace y in the second equation with the value of Y from the first equation:
-x - 3 = 5
Add 3 to both sides:
-x = 8
Multiply both sides by -1:
x = -8
The answer is:
(-8,3)
X value is going up and y value is moving up and down. So, it`s look like a quadratic function. y intercept is 12 and x intercept is 2 and 6. and vertex is (4,-4). than f(x)= a(x-4)^2+4. and put (0,12). and 16a+4=12. a=1/2. f(x)=1/2x^2-4x+12 or 1/2(x-4)^2+12
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The length of the pieces are 5 foot and 8 foot.
<h3>what is Algebra?</h3>
Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
Total length of board is 13 foot.
let the length of first piece be x
and length of second piece be y
So, x+ y = 13 .......(1)
Now, The length of the shorter piece is 1 ft more than half the length of the longer piece
x = y/2 + 1......(2)
Now, solving (1) and (2) we get
y/2 + 1 + y = 13
3y/2 = 12
y=24/3
y=8
Then x= 13-8
x= 5
Hence, the length of the pieces are 5 foot and 8 foot.
Learn more about Algebra here:
brainly.com/question/24875240
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