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Alex_Xolod [135]
4 years ago
7

Shift y=5x 3 units up

Mathematics
1 answer:
77julia77 [94]4 years ago
5 0

y = 5 x +3 is the final equation when y = 5 x 3 units up

<u>Step-by-step explanation:</u>

In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

Here we have , y=5x . Function y = 5x is a straight line passing through origin and having a slope of 5  . Now we need to increment this function 3 units up i.e. y = 5x + 3  , This a straight line passing through x-axis at  \frac{-3}{5} and y-axis at 3. For your reference , following graph of y= 5x and y = 5x + 3 is attached .

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laura quiere cúbrir con papel de china una puerta como la que se muestran el dibujo cuánto centímetros cuadrados es la que tendr
Ludmilka [50]

Answer:

Necesita cubrir 4800 cm^2.

Step-by-step explanation:

La pregunta está incompleta:

Laura quiere cubrir con papel de china una puerta como la que se muestra en el dibujo. Las medidas son 80 cm de largo y 60 cm de ancho.

Tenemos que calcular la superficie de la puerta, cuyas medidas son 80 cm de largo y 60 cm de ancho.

Para calcular el área simplemente multiplicamos las medidas de ambos lados:

A=80\,cm\cdot 60\,cm=4800\,cm^2

6 0
3 years ago
Solve for x:<br><br> 4x &gt; -28
AnnZ [28]

Answer:

x>  -7

Step-by-step explanation:

Divide by 4

4x/4 >-28/4

x > - 7

The arrow does not change direction unless you are dividing by a minus. Then the arrow goes in the opposite direction to the way it is currently going.

8 0
3 years ago
A plot of land doubles in size by adding x meters to the length and x meters to the width of the land?if the original plot had a
bogdanovich [222]

Answer:

  x = 100

Step-by-step explanation:

The larger area is ...

  A = LW

  A = (300+x)(200+x) = x^2 +500x +60,000

The smaller area is ...

  A = (200)(300) = 60,000

We want the larger area to be double the smaller area, so ...

  x^2 +500x +60,000 = 2(60,000)

  x^2 +500x = 60,000 . . . . . . . . . . . . subtract 60,000

  x^2 +500x + 62500 = 122500 . . . add 250^2 to complete the square

  (x +250)^2 = 350^2

We're interested in the positive solution, so we can take the positive square root to find it:

  x +250 = 350

  x = 100 . . . . . . . . . subtract 250

_____

The graph shows the quadratic in the form x^2 +500x -60,000. That is, we're looking for zeros (x-intercepts) of the function.

8 0
2 years ago
An air conditioning manufacturer produces room air conditioners at plants in Houston, Phoenix, and Memphis. These are sent to re
blsea [12.9K]

Answer:

$16,000

Step-by-step explanation:

For easier understanding and calculation; we created a table for solving this question.

Destination →  Dallas     Atlanta     Denver      Availability

Source

<u>↓                                                                                           </u>

<u>Houston          $ 8         $ 12             $ 13          850          </u>

<u />

<u>Phoenix           $ 10       $ 14             $ 8           800            </u>

<u />

<u>Memphis         $ 11         $ 8             $ 14          350            </u>

<u>Requirement    800       700            250                             </u>

<u />

Minimum Shipping Cost to Dallas is from Houston and they have 850 air conditioners, Dallas need 800, so ship all required 800 air conditioners from Houston itself

Minimum shipping cost of Atlanta is from Memphis and they have 350 air conditioners, but Atlanta need 700, so ship all the 350 air conditioners that Memphis have to Atlanta

Minimum shipping cost to Denver is from Phoenix and they have 800 air conditioners, but Denver need 250, so ship all the required 250 air conditioners to Denver itself.

Destination →  Dallas     Atlanta     Denver      Availability

Source

<u>↓                                                                                           </u>

Houston          $ 8         $ 12             $ 13          850          

<u>                         (800)                                                           </u>

Phoenix           $ 10       $ 14             $ 8           800        

<u>                                                         (250)                             </u>

<u />

Memphis         $ 11         $ 8             $ 14          350            

<u>                                       (350)                                               </u>  

<u>Requirement    800       700            250                             </u>

Still Atlanta need 350 air conditioners more, the second minimum shopping cost to Atlanta is from Houston and they have 50 air conditioners left .

So, ship all the 50 air conditioners that Houston have to Atlanta

Also, sent the remaining 300 air conditioners that Atlanta need from Phoenix

Destination →  Dallas     Atlanta     Denver      Availability

Source

<u>↓                                                                                           </u>

Houston          $ 8         $ 12             $ 13          850          

<u>                         (800)      (50)                                                 </u>

Phoenix           $ 10       $ 14             $ 8           800        

<u>                                      (300)           (250)                             </u>

<u />

Memphis         $ 11         $ 8             $ 14          350            

<u>                                       (350)                                               </u>  

<u>Requirement    800       700            250                             </u>

The total cost of shipping = ($ 8 × 800) +( ( $ 12 × 50)+($ 14 × 300) +( $ 8 × 350) ) + ( $ 8 × 250)

= ( $ 6, 400) + $ ( 600 + 4, 200 + 2, 800 ) + $ 2, 000

= $ 16,000

Therefore, the total cost = $ 16,000

7 0
4 years ago
In triangle DEF, FE= 12 and angle D =62. find DE to the nearest tenth
Nastasia [14]

Step-by-step explanation:

Below is an attachment containing the solution.

6 0
3 years ago
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