For this example, we must combine not permutate; this because a salad in which you first use apple then tomato is the same as the one in which you use first tomato then apple, so order does not matter.
Me must do "10 combine 7" which is written by the binomial coefficient
; in general a binomial coefficient is written by:
In which
and
are positive integers, such that
.
So, for this problem:
Hence, there are 120 different ways to make the fruit salad.
Answer:60 balloons
Step-by-step explanation: 0.80 times 75 is 60 and 125- 65 is 60
<h3>
Answer: y - 4 = -2(x - 5)</h3>
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Explanation:
Point slope form is
y - y1 = m(x - x1)
where m is the slope and (x1,y1) is the point the line goes through.
Parallel lines have equal slopes but different y intercepts. The given equation y = -2x-3 has a slope of -2, meaning that m = -2 is also the slope of the mystery parallel line.
-2 will go in the second box that's just to the left of the parenthesis.
The coordinates of (5, 4) will go in the other remaining boxes to finish off the equation.
We go from this
y - y1 = m(x - x1)
to this
y - 4 = -2(x - 5)
Answer:
y = 3(x+1)^2 - 4
Step-by-step explanation:The general form of the equation of a quadratic function whose vertex is (h,k) and whose leading coefficient is a is:
y - k = a(x-h)^2, or
y = a(x-h)^2 - k
Substituting the coefficients of the vertex (-1, -4), we get:
y = a(x + 1)^2 - 4
Substituting the coordinates of the given point, (1,8), we get:
8 = a(1+1)^2 - 4, which simplifies to:
8 = a(2)^2 - 4, or
8 = 4a - 4. Then 4a = 12, and a = 3.
Thus, the desired equation is y = 3(x+1)^2 - 4 (answer j).
Answer:
25
Step-by-step explanation:
2(13)-1=25
