Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
1 answer:
Answer:
Hey! The answer is 25,4 centimeters.
Step-by-step explanation:
In a linear function you can use y=mx+n
So if x = hours and y= height.
You know that
So:
If you multiply (24,8=26m +n) x-1
It is: -24,8 = -26m -n
Adding up the other equation
-24,8 = -26m -n
<u>27,8 = 11m + n</u>
<u>3 = -15m</u>
<u>m= -0,2</u>
So
27,8 = 11 x 0,2 + n
27,8 = -2,2 + n
30 = n
This results that te linear function for this equation is:
y = -0,2x + 30
The answer is
y=23(-0,2) + 30
y=-4,6+30
y=25,4
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Answer:
d.
Step-by-step explanation:
To convert a root to a fraction in the exponent, remember this rule:
The index becomes the denominator in the fraction. (The index is the little number in front of the root, "n".) The original exponent remains in the numerator.
In this question, the index is 4.
The index is applied to every base in the equation under the root. The bases are 16, 'x' and 'y'.
To find the quad root of 16, input this into your calculator. Since 2⁴ = 16, = 2.
For the "x" and "y" bases, use the rule for converting roots to exponent fractions. The index, 4, becomes the denominator in each fraction.
Answer:
Converges at -1
Step-by-step explanation:
The integral converges if the limit exists, if the limit does not exist or if the limit is infinity it diverges.
We will make use of integral by parts to determine:
let:
We can therefore determine that if x tends to 0 the limit is -1