P(x)=(x-(-5))(x-(-1))(x-2)(x-2)
P(x)=(x+5)(x+1)(x-2)^2
Answer: The right answer is 2
Step-by-step explanation:
- Write out the expression
T1; a = 0.3 ------------ (I)
T8; ar^7 = 38.4 ------------ (ii)
Substituting for 'a' in the second equation, we have;
0.3r^7 = 38.4
0.3r^7 = 38.4
Divide both sides by 0.3
r^7 = 38.4/0.3
r^7 = 128
r = (128)^1/7
r = 2
The cost of the 6 books if you buy the set is $11.75 less.
The given parameters:
- <em>Total number of books, n = 6</em>
- <em>Cost of the books, c = $241.25</em>
- <em>Cost of one book, = $38.25</em>
The total cost of the 6 books when bought separately is calculated as follows;
Cost = 6 x $38.25
Cost = $229.5
The difference in price is calculated as follows;
= $241.25 - $229.5
= $11.75
Thus, the cost of the 6 books if you buy the set is $11.75 less.
Learn more about cost price here: brainly.com/question/19104371
When ever you have percentages, it should be helpful to bear in mind you can express them as multipliers. In this case, it will be helpful.
So, if we let:
a = test score
b = target score
then, using the information given:
a = 1.1b + 1
a = 1.15b - 3
and we get simultaneous equations.
'1.1' and '1.15' are the multipliers that I got using the percentages. Multiplying a value by 1.1 is the equivalent of increasing the value by 10%. If you multiplied it by 0.1 (which is the same as dividing by 10), you would get just 10% of the value.
Back to the simultaneous equations, we can just solve them now:
There are a number of ways to do this but I will use my preferred method:
Rearrange to express in terms of b:
a = 1.1b + 1
then b = (a - 1)/1.1
a = 1.15b - 3
then b = (a + 3)/1.15
Since they are both equal to b, they are of the same value so we can set them equal to each other and solve for a:
(a - 1)/1.1 = (a + 3)/1.15
1.15 * (a - 1) = 1.1 * (a + 3)
1.15a - 1.15 = 1.1a + 3.3
0.05a = 4.45
a = 89
Step-by-step explanation:
55 / 3 = 18.333.
Since it is a decimal, we round up to the nearest whole number.
It will take at least 19 battles to level up.