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Anit [1.1K]
2 years ago
6

Write the coordinates of the vertices after a translation 4 units left.

Mathematics
1 answer:
DENIUS [597]2 years ago
8 0

Answer:

Step-by-step explanation:

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This data set gives the scores of 41 students on a biology exam: {66, 67, 67, 68, 80, 81, 81, 82, 22, 65, 66, 68, 69, 70, 71, 71
bazaltina [42]
C . median
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3 0
3 years ago
Read 2 more answers
#1 What is the difference between<br> an expression and an equation?
Svetlanka [38]
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
3 0
3 years ago
Given the demand equation 6x+p-50=0 and the supply equation 6x-p+14=0 where p is the unit price in dollars and x represents the
Katarina [22]

Answer:

The equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.

Step-by-step explanation:

Market equilibrium occurs in those markets in which the quantity demanded by consumers equals the quantity supplied by firms. In this state, the equilibrium point has its corresponding equilibrium quantity and price. That is, the equilibrium point is that point where, for a given price, the quantity supplied is equal to the quantity demanded.

The supply and demand curves represent the quantities that consumers are willing to buy and producers are willing to sell at that price respectively.

Being:

  • demand equation: 6x+p-50=0 ⇒ 6x= 50 - p ⇒ x=\frac{50 - p}{6}
  • the supply equation 6x-p+14=0 ⇒ 6x= p - 14 ⇒ x=\frac{p-14}{6}

Since when the market reaches equilibrium, the quantity demanded equals the quantity supplied and x representing the quantity demanded in units of thousand, then:

\frac{50 - p}{6}=\frac{p-14}{6}

Solving, you get:

6*\frac{50 - p}{6}=p-14

50 - p= p -14

50 - p +14 = p

50 +14= p + p

64= 2*p

p=\frac{64}{2}

P=32 dollars

This value is the equilibrium price. Replacing this value in the demand and supply equation, the equilibrium quantity is obtained, which should be the same for both cases:

  • demand equation:  x=\frac{50 - 32}{6} ⇒ x= 3 Thousand units
  • the supply equation  x=\frac{32-14}{6} ⇒ x=3 Thousand units

So, <u><em>the equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.</em></u>

In its graphical representation, the equilibrium point can be seen as that point where the supply and demand curves intersect. You can see this in the attached image, where the blue line represents the supply and the red line the demand.

7 0
3 years ago
Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. 5x+7=2y and
Luda [366]

Answer:

The correct option is option B. It has one solution, and it's x=-3

Step-by-step explanation:

We have the following system of equations:

5x+7 = 2y                        (1)

y-9x=23                            (2)

Step 1: Solve for 'y' in equation (2):

y-9x = 23

y = 9x + 23

Step 2: Substitute in equation (1):

5x + 7 = 2y

5x + 7 = 2(9x + 23)

5x + 7 = 18x + 46

Step 3: Solve for x:

7 - 46 = 18x - 5x

-39 = 13x

x= -3

So the correct option is option B. It has one solution, and it's x=-3

7 0
3 years ago
Read 2 more answers
How do I solve this ???
egoroff_w [7]
-3*-5 = 15 

<span>When the signs are the same the answer is positive.</span>
5 0
3 years ago
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