Answer:
Step-by-step explanation:
In how many ways can the club select its new officers
Need to fill 4 positions
24P4 = 24!/(24-4)! = 24!/20! = 21*22*23*24 = 255,024
Answer:
These dimensions represent area of a shape, or area of each side of a 4 sided 3D shape.
The remaining number of flires that Linda still not posted is 40.
According to the given question.
The total number of fliers Linda have = 84
Fraction of fliers Linda posted = 1/3
And, fraction of fliers Linda posted second time from the remaning fliers = 2/7
Now,
1/3 of 84 fliers = 1/3 × 84 = 28
So, the number of fliers are left with Linda after first posting = 84 - 28 = 56
Again she posted 2/7 fliers. The number of flires Linda posted second time is given by
⇒ 2/7 × 56 = 16
Thereore, the number of fliers that Lindna still not posted = 56 - 16 = 40
Hence, Linda still not posted 40 fliers.
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The product of
is
.
Given
The product of
.
<h3>What is multiplication?</h3>
Multiplication is the process of calculating the product of two or more numbers.
The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a’ multiplied by ‘b’.
The product of
is given by;

Hence, the product of
is
.
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Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2