The greatest number of different cards based on the permutations is 144.
<h3>How to compute the value?</h3>
From the information given, there are 4 versions which are either roses, daisies, tulips, or sunflowers and this is further divided into either Happy birthday, anniversary, or holidays.
Therefore, the greatest number of different cards will be:
= 4! × 3!
= 24 × 6
= 144
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27-1= 26 (the one book beside her bed)
26/8= 3.25, but there isn’t .25 of a shelf, so she needs 4 shelves to fit all of her books
Answer:
66
Step-by-step explanation:
mean = the sum of the value / the number of the value
when we calculate the some must be 385 so the sum of the given value gives 319 so to reach the average 77 she must score 66
x² + y² = 5
y = 2x/3 + 1
In a simple way to find the intersections you can just throw the y value in the other equation, so
x² + y² = 5
x² + (2x/3 + 1)² = 5
x² + (2x/3)² + 2.2x/3.1 + 1² = 5
x² + 4x²/9 + 4x/3 + 1 = 5
13x²/9 + 4x/3 + 1 - 5 = 0
13x²/9 + 4x/3 - 4 = 0
Multiply by 9
13x² + 12x - 36 = 0
Δ = b² - 4.a.c
Δ = 12² - 4 . 13 . -36
Δ = 144 - 4. 13 . -36
Δ = 2016
There are 2 real roots.
x = (-b +- √Δ)/2a
x' = (-12 + √2016)/2.13
x'' = (-12 - √2016)/2.13
x' = 32,8998886412873 / 26
x'' = -56,8998886412873 / 26
x' = 1,2653803323572037
x'' = -2,188457255434127
Rounding
x' = 1,27
x'' = -2,19
Now we need to put this value in the y equation to know the y coordinate.
y = 2x/3 + 1
y' = 2.1,27/3 + 1
y' = 2,54/3 + 1
y' = 1,8466666...
y' = 1,85
y = 2x/3 + 1
y'' = 2.(-2,19)/3 + 1
y'' = -4,38/3 + 1
y'' = -0,46
So the points are: (1,27;1,85) and (-2,19;-0,46)
