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3 years ago

Please answer 1, 2, and 3. WILL GIVE BRAINLIEST. WORTH 18 POINTS

Mathematics

2 answers:

alukav5142 [94]3 years ago

6 0

9514 1404 393

Answer:

7
-1 2/3
4

Step-by-step explanation:

The average rate of change of a function f(x) on interval [a, b] is the slope of the line through points (a, f(a)) and (b, f(b)). The slope formula tells you that is ...

m = (f(b) -f(a))/(b -a)

1) The rate of change in the interval [1, 2] is ...

rate of change = (2³ -1³)/(2 -1) = (8 -1)/1 = 7

2) rate of change = ((√4 -8) -(√1 -2))/(4 -1) = (-6-(-1))/3 = -5/3

3) rate of change = (11 -(-1))/(5 -2) = 4

Katarina [22]3 years ago

3 0

Answer:

-5

Step-by-step explanation:

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A certain computer loses half of its value every two years. If the value of the computer after 3 years is 425, what was the init

IrinaVladis [17]

Answer:

1,700

Step-by-step explanation:

The computation of the initial value of the computer is shown below:

Let us assume the value of a certain computer in the first year is X

In the second year, it is $\frac{X}{2}$

In the third year, it is $\frac{X}{2}$

In the fourth year, it is $\frac{X}{4}$

Now it is given that after 3 years, the value of the computer is = 425 i.e equal to

$\frac{X}{4} = 425$

So, X = 1,700

Hence, the initial value of the computer is 1,700

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4 years ago

A gardener has 140 feet of fencing to put around a rectangular vegetable garden. The function A(w)= 70w - w^2 gives the garden's

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The largest area that can be enclosed will be that of a square (140 ft)/4 = 35 ft on a side. Such a square has an area of (35 ft)² = 1225 ft², not enough for the garden to be 1300 ft². This tells us the solution to the equation you're being asked to write is non-real.

_____

Putting the given numbers in the area equation, you have

... 1300 = 70w -w²

Multiplying by -1 and completing the square, we have

... w² -70w +35² = -1300 +35²

... (w -35)² = 1225 -1300 = -75

Taking the square root shows us the solution is non-real.

... w - 35 = ±√(-75) = ±5i√3

... w = 35 ± 5i√3 . . . . . . . . . after adding 35. These are complex solutions.

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4 years ago

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Answer:

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Step-by-step explanation:

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Igoryamba

I believe the answer is 6,720.

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