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Illusion [34]
3 years ago
10

Which graph represents the solution to the system of inequalities? y ≥ x – 5 y < –x + 4

Mathematics
1 answer:
Doss [256]3 years ago
7 0
We want to solve the system of inequalities
y ≥ x - 5
y < -x + 4

The line y = x - 5 has 
slope = 1
y-intercept = -5
x-intercept: x - 5 = 0 => x = 5

The line y = -x + 4 has
slope = -1
y-intercept = 4
x-intercept: -x + 4 = 0 => x = 4

Answer:
Graph the two lines and apply the inequalities as shown in the figure.
The shaded area is the solution region.

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Using the midpoint method (show your work), calculate the price elasticity of demand when the price of a barrel of gosum berries
Setler79 [48]

Answer:

0.18

Step-by-step explanation:

Given that:

P₁ = $10, P₂ = $20

From the tables Q₁ = 900, Q₂ = 800

Using midpoint method:

Percentage change in quantity = \frac{Q_2-Q_1}{(Q_1+Q_2)/2} *100\%=\frac{800-900}{(900+800)/2}*100\%= -11.76\%\\

Percentage change in price =

\frac{P_2-P_1}{(P_1+P_2)/2} *100\%=\frac{20-10}{(20+10)/2}*100\%= 66.67\%\\

Price of elastic demand = Percentage change in quantity/ Percentage change in price = -11.76% / 66.67% = 0.18

The Price of elastic demand is positive because we took the absolute value and elasticity are always positive

Therefore since Price of elastic demand < 1, the demand is inelastic in this interval.

This means that, along the demand curve between $10 to $20, if the price changes by 1%, the quantity demanded will change by 0.18%. A change in the price will result in a smaller percentage change in the quantity demanded. For example, a 10% increase in the price will result in only a 1.8% decrease in quantity demanded and a 10% decrease in the price will result in only a 1.8% increase in the quantity demanded

7 0
3 years ago
Find the major intercepts for the ellipse shown below.<br> A. (0, ±3)<br> B. (±3, 0)<br> C. (±2, 0)
Serggg [28]

Answer:

A(0,+3)

Step-by-step explanation:

Hopefully this helps

5 0
3 years ago
What is the area of this trapezoid? Please help me
jenyasd209 [6]

Answer:

192

Step-by-step explanation:

both triangles are 12 in and the square is 168

so 12+12+168= 192in

3 0
3 years ago
The same price of an item is $48 after a 40% discount what was the original price
Sonja [21]
Let, the original price = x
It would be: x*60% = 48
x = 48 / 0.60
x = 80

In short, Your Answer would be $80

Hope this helps!
8 0
3 years ago
5 POINTS !! ANSWER FASTTT
MariettaO [177]
N= 2

Substitute 2 in for n in expression

=(5 + n) ÷ (n - 1)
=(5 + 2) ÷ (2 - 1)
=7 ÷ 1
=7

If n= 2, the expression equals 7.

Hope this helps! :)
3 0
3 years ago
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