Answer:
120 different slates of candidates are possible.
Step-by-step explanation:
The order is important.
For example, a slate of John, Rose and Elisa means that John is the chairperson, Rose is the secretary and Elisa is the treasurer. If two of them are exchanged, their roles will also be changed. So we use the permutations formula to solve this question.
Permutations formula:
The number of permutations of x elements from a set of n elements is given by:
In this problem, we have that:
6 members will be chosen for 3 roles. So
120 different slates of candidates are possible.
Answer:
The domain is the x axis from - 10 to 10 horizontal and the range is the y axis - 10 to 10 vertical
Answer: You'll save $50
Work: I just did $200 multiplied by .25 (Percentage of Coupon) and I received the answer $50.
<em>I hope this helps, and Happy Holidays! :)</em>
Answer: x=7
Step-by-step explanation: -25.6z=-179.2 divide each by -25.6
x=7
Answer:
(x +9)(x +8)
Step-by-step explanation:
In a quadratic with leading coefficient 1, the coefficient of the linear term (17) is the sum of factors of the constant term (72). If you know your times tables, you know that 8×9 = 72, and you also know that 8+9 = 17.
With these facts, you can write the factorization as ...
(x +8)(x +9)
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If you need to see the working out, rather than jumping to the end, you can use the sum information to rewrite the linear term:
x^2 +(8x +9x) +72
Now factor pairs of terms:
(x^2 +8x) + (9x +72) = x(x +8) +9(x +8) = (x +9)(x +8)
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It also helps to be familiar with the product of binomials:
(x +a)(x +b) = x^2 +(a+b)x +ab
