All categories

3 years ago

Can someone help me answer these two questions please.

Mathematics

1 answer:

mr_godi [17]3 years ago

3 0

Answer:

The first one is a the second one is b

Step-by-step explanation:

You might be interested in

the population of a town increases at the rate of 1% each year today the towns population is 8500 what will the population be in

romanna [79]

Answer:

8934 (8933.58542585)

Step-by-step explanation:

8,500 (population currently) * 1.01 (1 percent) ^ 5 (years) = 8933.58542585 ≅ 8934 people.

4 0

4 years ago

Brandon mows the neighbor's yard to earn extra

olganol [36]

Answer:

7 is the answer you're looking for

5 0

2 years ago

At what values of x does f(x) = x^3 - 2x^2 -4x+1 satisfy the mean value theorwm on [0,1]

denis-greek [22]

Answer:

x=1/3

Step-by-step explanation:

A function f is given as

$f(x) = x^3-2x^2-4x+1$ in the interval [0,1]

This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)

Hence mean value theorem applies for f in the given interval

$f(1) = 1-2-4+1 = -4\\f(0) = 1$

The value

$\frac{f(1)-f(0)}{1-0} =\frac{-4-1}{1} =-5$

Find derivative for f

$f'(x) = 3x^2-4x-4$

Equate this to -5 to check mean value theorem

$3x^2-4x-4=-5\\3x^2-4x+1=0\\\\(x-1)(3x-1) =0\\x= 1/3 : x = 1$

We find that 1/3 lies inside the interval (0,1)

4 0

3 years ago

Simplify 7-5x-(3+5x)

galben [10]

Answer:

-10x +4

Step-by-step explanation:

8 0

3 years ago

Find the area of a regular nonagon with a side length of 7 and an apothem of 5

vitfil [10]

A NONA=9, nonagon has 9 sides, so it's perimeter is 7+7+7+7+7+7+7+7+7, or 63, and we know the apothem.

bearing in mind that the area of a regular polygon is
(1/2)ap a = apothem, p = perimeter

so in this case that'd be (1/2)(5)(63).

7 0

3 years ago