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2 years ago

A group consists of fourfour men and eighteight women. threethree people are selected to attend a conference.

1 answer:

8 0

Take the combination of 1 man and 2 women
=4 * 8C2 = 4*28 = 112 ways
The case of all men
= 4C3 = 4
The case of all women
= 8C3 = 56
The case of 2 men and 1 woman:-
= 8 * 4C2 = 8* 6 = 48

Total number of ways = 112 + 4 + 56 + 48 = 220 answer

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Let f(x)=x2−2x−4 . What is the average rate of change for the quadratic function from x=−1 to x = 4?

goblinko [34]

Answer:

The average rate of change for f(x) from x=−1 to x = 4 is, 1

Step-by-step explanation:

Average rate A(x) of change for a function f(x) over [a, b] is given by:

$A(x) = \frac{f(b)-f(a)}{b-a}$

As per the statement:

$f(x) = x^2-2x-4$

we have to find the average rate of change from x = -1 to x = 4

At x = -1

$f(-1) = (-1)^2-2(-1)-4 = 1+2-4 = -1$

and

at x = 4

$f(4) = (4)^2-2(4)-4 = 16-8-4 = 4$

Substitute these in [1] we have;

$A(x) = \frac{f(4)-f(-1)}{4-(-1)}$

⇒ $A(x) = \frac{4-(-1)}{4+1}$

⇒ $A(x) = \frac{5}{5}$

Simplify:

A(x) = 1

Therefore, the average rate of change for f(x) from x=−1 to x = 4 is, 1

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Answer:

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DENIUS [597]

Answer:
x = 7

Explanation:
We are given
22 + 54x = -20 + 60x

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