All categories

3 years ago

What is the common point between lines y = ½ x + 4 and y = x – 4?

Mathematics

1 answer:

nirvana33 [79]3 years ago

7 0

1/2X+4=X-4
1/2X+8=X
8=1/2X
16=X

(Pick one of the equations )
y=1/2X+4
y=(1/2)(16)+4
y=12

point: (16,12)

You might be interested in

If 1900 square centimeters of material are available to make a box with a square base and an open top, find the largest possible

Evgen [1.6K]

Answer:

Volume = $7969$ cubic centimeter

Step-by-step explanation:

Let the length of each side of the base of the box be A and the height of the box be H.

Area of material required to make the box is equal to is $A^2 + 4*A*H.$

$A^2 + 4*A*H = 1900$

Rearranging the above equation, we get -

$`H = \frac{(1900 - A^2)}{(4*A)}$

Volume of box is equal to product of base area of box and the height of the box -

$V = A*A* H$

Substituting the given area we get -

$\frac{A^2*(1900 - A^2)}{4A} = \frac{(1900*A - A^3)}{4}$

For maximum volume

$\frac{dV}{dA} =0$

$\frac{ 1900}{4} - \frac{3*A^2}{4} = 0$

$A^2 = \frac{1900}{3}$

Volume of the box

= $\frac{\frac{1900}{3}*(1900 - \frac{1900}{3}) }{4 * \sqrt{\frac{1900}{3} } }$

= $7969$ cubic centimeter

3 0

3 years ago

Which angle corresponds to

Alexus [3.1K]

Answer:

∡GFB

Step-by-step explanation:

∡GFB and ∡HGD are corresponding angles

3 0

4 years ago

Read 2 more answers

: Your experience indicates that offering a discount in your emails increases responses by 80%. Your last email, without a disco

timofeeve [1]

For this case we can make the following rule of three:
23000 -------> 100%
x --------------> 180%
Clearing the value of x we have:
x = (180/100) * (23000)
x = 41400
Answer:
you would expect about:
a) 41,400 responses

8 0

3 years ago

Karen runs a print shop that makes posters for large companies. It is a very competitive business. The market price is currently

kumpel [21]

AFC = FC / Quantity printed

So given she prints 1,000 posters: AFC = 250.00/1000 = $0.25 
Given she prints 2,000 posters: AFC = 250.00/2000 = $0.125 
Given she prints 10,000 posters: AFC = 250.00/2000 = $0.025 

ATC = TC / Quantity printed 

where TC = FC + Variable C * Quantity printed 

If she prints 1000: TC = 250 + 2000*1000 = 2,000,250 
ATC = 2,000,250/1000 = 2000.25 

If she prints 2000: TC = 250 + 1600*2000 = 3,200,250 
ATC = 3,200,250/2000 = 1600.125 

If she prints 10000: TC = 250 + 1600*2000 + 1000*8000 ($1000 for each additional poster after 2000) = 11,200,250 
ATC = 11,200,250/10000 = 1120.025

7 0

3 years ago

a pay for service internet company charges 5 per hour for the first 3 hours of Service Plus a $10 connection fee

Marysya12 [62]

If you are charging 5 per hour use h to determine how many hours and add 10 for the connection fee

5h+10

3 0

4 years ago