3 years ago

If a ÷ b = 2 and b ÷ c =3/4, what is the value of c ÷ a? Express your answer as a common fraction.

Mathematics

1 answer:

lora16 [44]3 years ago

7 0

Answer:

in the picture above.

Step-by-step explanation:

I hope that it's a correct answer.

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(x)=4log(x+2) Which interval has the smallest average rate of change in the given function? 1≤x≤3 5≤x≤7 3≤x≤5 −1≤x≤1

Naya [18.7K]

Answer:

5≤x≤7

Step-by-step explanation:

For a given function f(x), the average rate of change in a given interval:

a ≤ x ≤ b

is given by:

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

Here we have:

f(x) = 4*log(x + 2)

And we want to see which interval has the smallest average rate of change, so we just need fo find the average rate of change for these 4 intervals.

1) 1≤x≤3

here we have:

$r = \frac{f(3) - f(1)}{3 - 1} = \frac{4*log(3 + 2) - 4*log(1 + 2)}{2} = 0.44$

2) 5≤x≤7

$r = \frac{f(7) - f(5)}{7 - 5} = \frac{4*log(7 + 2) - 4*log(5 + 2)}{2} = 0.22$

3) 3≤x≤5

$r = \frac{f(5) - f(3)}{5 - 3} = \frac{4*log(5 + 2) - 4*log(3 + 2)}{2} = 0.29$

4) −1≤x≤1

$r = \frac{f(1) - f(-1)}{1 - (-1)} = \frac{4*log(1 + 2) - 4*log(-1 + 2)}{2} = 0.95$

So we can see that the smalles average rate of change is in 5≤x≤7

3 0

3 years ago

P(S) = 5/8 P(T) = 1/8 If S and T are mutually exclusive events, find P(S or T),

Aleks04 [339]

Answer:

P(S ∪ T) = 3/4

Step-by-step explanation:

Given:

P(S) = 5/8
P(T) = 1/8

For mutually exclusive events S and T,

P(S ∪ T) = P(S) + P(T)

Therefore,

P(S ∪ T) = (5/8) + (1/8)

= 6/8

= 3/4

6 0

2 years ago