This is the concept of algebra, given a polynomial with one variable like x and y, the degree is the largest exponent of the variable;
Given the expressions;
4x^3-2y^3+5y^2-5y The polynomial has a degree of 3 (both y and x have an exponent of 3)
3y3--xy=3y^3+xy The polynomial has a degree of 3 also (y has an exponent of 3)
We can set up an equation to solve this problem, but first we need to write out what we know.
$20 overall
$0.24 every minute
$13.52 remaining on the card
Now that we know our information, we can set it up in an equation.
20 - 0.24x = 13.52
The 20 represents $20 overall when she first got the phone card.
We are then subtracting $20 from how must it costs a minute (which is 24 cents). The 'x' indicates the number we are trying to find (how many minutes her call lasted). Lastly, 13.52 is the result of everything, since she has $13.52 remaining on the card.
We can now solve the equation:
20 - 0.24x = 13.52
-0.24x = 13.52 - 20 /// subtract 20 from each side
-0.24x = -6.48 /// simplify
x = 27 /// divide each side by -0.24
Our solution is: x = 27.
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An easier way to solve this problem would be to first, subtract the total amount of money she had on the card when she first got it, and then the remaining total she ended up with.
$20 - $13.52 = $6.48
So, she spent a total of $6.48 on long distance calls, but since we are looking for how many minutes, we need to divide the total she spent and how much it costs per minute.
6.48 ÷ 24 = 27
We receive the same amount of minutes spent just like we did the last way we solved.
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Salma spent 27 minutes on the phone.
It’s the first answer. The function is y = x*2
Answer:
c) The growth factor per days is 1.08
e) The growth factor per hour is 1.08^{1/24}
Step-by-step explanation:
Given the following data;
P(d) = 10 * 1.08^{d} in thousands.
a. To find the number of insects on day 1;
Day, d = 1
......equation 1
Substituting into the formula, we have;
Therefore, option (a) and (b) are incorrect.
c. To find the growth factor per day;
An exponential function is given by the formula;
.....equation 2
Where;
g is the growth factor of a population.
Comparing eqn 2 with eqn 1;
g = 1.08
Therefore, option (c) is correct.
e. To find growth factor per hour;
From equation 1 above;
Therefore, option e is correct.
Step-by-step explanation:
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