<span>When creating a subset of 5 elements from 7 elements, order should not matter. Therefore, we use the combination formula over the permutation formula.
The combination formula given n elements total and r elements used is n! / [r!*(n-r)!]. Substituting 7 for n and 5 for r, we get:
7! / (5!*2!) = 7*6 / 2 = 21
21 subsets can be created</span>
10 to the power of 3 would be 1000.
2 to the power of 3 would be 8.
1000 x 8 = 8000
I hope this helped you <3
Answer:
y = -4x + 5
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
The general form is;
y = mx + b
where m is the slope and b is the y intercept
To find the slope, we use the slope formula
this is ;
m = (y2-y1)/(x2-x1)
(x1,y1) = (0,5)
(x2,y2) = (2,-3)
m = (-3-5)/(2-0) = -8/2 = -4
To get the y-intercept we simply substitute one of the points
But we know that the y-intercept is the y-value when x = 0
From the point we can see (0,5) which means that the y-intercept is 5
so the equation of the line is;
y = -4x + 5
Answer:
Step-by-step explanation:
<u>Use properties of exponents:</u>
<u>Simplify the given expression:</u>
- 3⁴⋅x⋅(3/x²)⁻² =
- 3⁴·x·(3x⁻²)⁻² =
- 3⁴·x·(3⁻²)(x⁻²ˣ⁻²) =
- 3⁴⁻²·x¹⁺4 =
- 3²·x⁵ =
- 9x⁵
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