Identify the domain of the function shown in the graph.

PLEASE HELP MEE I CAN'T SOLVE THIS BY MYSELF!

UNO [17]

Answer:

x = 22

Step-by-step explanation:

The figure is attached below.

Its given that SV is parallel to RU. We have to find the value of x.

Observe that, if we join point V to U, we will obtain a parallelogram RSVU. One of the properties of a parallelogram is that the sum of its two adjacent angles is always 180 degrees.

So, the two adjacent angles would be: ∠S and ∠R

From the figure:

∠S = 5x + 4

∠R = 44 + x

Since,

∠S + ∠R must be 180 degrees, we can write:

∠S + ∠R = 180

5x + 4 + 44 + x = 180

6x + 48 = 180

6x = 132

x = 22

Therefore, the value of x is 22.

6 0

3 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

Marcia has a licorice rope that is 28 inches long. She wants to cut it into 3,-inch pieces to share with friends. How many piece

diamong [38]

Answer:

9 pieces

Step-by-step explanation:

28 inches rope cut into 3-inch pieces

28/3 = 9 1/3

There is no matching answer choice, if given numbers are correct then the answer is 9 full pieces

---------

The close answer choice is 8
28/8 = 3 1/2 or 3.5
So if cut into 3.5 inch pieces then it is 8 full pieces
just in case it was typo 3 instead of 3.5

8 0

4 years ago

Read 2 more answers

Please help me answer question #4 on this document!<br><br> Thank you

Serjik [45]

The image is not visible

7 0

3 years ago

Evan has 5 tennis balls, 2 footballs and 2 packages of golf balls with 4 balls in each. What is the ratio of tennis balls to his

Sedbober [7]

Answer:

5/13 or 38.41%

Step-by-step explanation:

7 0

3 years ago