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2 years ago

5x(x-3)=(x-2)(5x-1)-5??

1 answer:

6 0

5x(x-3) = (x-2)(5x - 1) - 5
5x^2 - 15x = 5x^2 - x - 10x + 2 - 5
5x^2 - 15x = 5x^2 - 11x - 3
5x^2 - 11x - 3 - 5x^2 + 15x = 0
4x - 3 = 0
4x = 3
x = 3/4 or 0.75

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4log, 11 – 20log 35

ANEK [815]

Answer:

-26.71579

Step-by-step explanation:

Any scientific or graphing calculator can evaluate this expression for you.

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3 years ago

A bag has 5 red and 95 yellow marbles. What is the percent chance of drawing a red one? Decimal? Fraction? Percent?

CaHeK987 [17]

Answer: Hm,.

Step-by-step explanation:

If you need all of these, here is this.

Fraction: 5/100

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3 years ago

Read 2 more answers

An object travels 4/5 miles in one-half hour. What is its speed?

Ilia_Sergeevich [38]

Answer:

8/5 miles or 1.6 mile per hour

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2 years ago

What is the domain and derivative of f(x)=ln(2xsqrt(2+x))?

harkovskaia [24]

Domain is the numbers yo can use
we has a sqrt and a ln
we cant have any neagtive ln's or sqrts
x cannot be negative
it cannot be 0 either
domain is all numbers bigger than 0

deritivive
apply chain rule
dy/dx(f(g(x))=f'(g(x))g'(x)
and also
dy/dx (lnx)=1/x
and
dy/dx(f(x)g(x))=f'(x)g(x)+g'(x)f(x)
and from experience
dy/dx(sqrtx)=1/(2√x)

so

dy/dx(ln(2xsqrt(2+x)))=
(1/(2xsqrt(2+x))(2)(sqrt(2+x)+(x/(2sqrt(2+x))=
(3x+4)/(2x(x+2))

domain is all real numbers greater than 0
derivitive is $\frac{3x+4}{2x(x+2)}$

7 0

2 years ago

A hotel rents 210 rooms at a rate of $ 60 per day. For each $ 2 increase in the rate, three fewer rooms are rented. Find the roo

lidiya [134]

Answer:

r=$14,400

The hotel should charge $120

Step-by-step explanation:

Revenue (r)= p * n

where,

p = price per item

n = number of items sold

A change in price leads to a change in number sold

A variable to measure the change in p and n needs to be introduced

Let the variable=x

Such that

p + x means a one dollar price increase

p - x means a one dollar price decrease

n + x means a one item number-sold increase

n - x means a one item number-sold decrease

for each $2 price increase (p + 2x) there are 3 fewer rooms are rented (n-3x)

know that at $60 per room, the hotel rents 210 rooms

r = (60 + 2x) * (210 - 3x)

=12,600-180x+420x-6x^2

=12,600+240x-6x^2

r=2100+40x-x^2

= -x^2 +40x+2100=0

Solve the quadratic equation

x= -b +or- √b^2-4ac / 2a

a= -1

b=40

c=2100

x= -b +or- √b^2-4ac / 2a

= -40 +or- √(40)^2 - (4)(-1)(2100) / (2)(-1)

= -40 +or- √1600-(-8400) / -2

= -40 +or- √ 1600+8400 / -2

= -40 +or- √10,000 / -2

= -40 +or- 100 / -2

x= -40+100/-2 OR -40-100/-2

=60/-2 OR -140/-2

= -30 OR 70

x=70

The quadratic equation has a maximum at x=70

p+2x

=60+2(30)

=60+60

=$120

r= (60 + 2x) * (210 - 3x)

={60+2(30)}*{(210-3(30)}

r=(60+60)*(210-90)

=120*120

=$14,400

7 0

3 years ago