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ANEK [815]
2 years ago
7

Can someone please help me with 9 and 10!!! Thank you so much!!!

Mathematics
1 answer:
Dmitrij [34]2 years ago
5 0
9 Is −4x3 and 10 is −5a2
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How to solve for x/ extraneous solutions
taurus [48]

Answer:

<h2>x = 8</h2>

Step-by-step explanation:

\log_ab=c\iff a^c=b\\\\===================\\\\Domain:\ 8x>0\to x>0\\\\\log_4(8x)=3\iff4^3=8x\\\\8x=64\qquad\text{divide both sides by 8}\\\\x=8\in D

3 0
2 years ago
A band expects to put 16 songs on their next CD. The band writes and records ​50% more songs than they expect to put on the CD.
lara [203]

Answer:

<u><em>12</em></u>

Step-by-step explanation:

Add 50% of 16 to 16, 50% of 16 is 0.5 * 16 = 8, 16 + 8 = 24

Multiply 24 by 50%, or 0.5 to get 12

8 0
3 years ago
Read 2 more answers
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
4,610÷16 find the quotient.​
Amanda [17]

Answer:

288.125

Step-by-step explanation:

4,610/16= 288.125

7 0
2 years ago
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Which ideas from the excerpt would be most appropriate to
Elenna [48]

Answer:

Step-by-step explanation:

A) Popular novels from the past often ask provocative questions that are important to consider today.

In this speech, President Reagan uses the ending of a popular novel of the '60s to help pose his question about whether history still has a place for America, her people and her ideals. He takes provocative questions written in an old novel and uses them to show important subjects that need to be addressed today.

B) Many Americans have given up and say that the nation is no longer great or a land of dreams.

In his speech Reagan states that many Americans have lost their faith in their country and no longer believe that it is a place for dreams and greatness. This people say that Americans must "cut our expectations, conserve and withdraw"

C) President Reagan believed that John Wayne would argue that he was not the last American hero, because there are many more.

After the passing of the iconic Hollywood actor, John "Duke" Wayne, the headlines on the newspapers called him the "Last American Hero". Reagan, being a close friend of the late actor, stated that Wayne would've hated being called that, since he knew there were still many other heroes in America.

3 0
3 years ago
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