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Sonbull [250]
3 years ago
6

Complete the equation of the line through (-8, -2) and (-4, 6). Use exact numbers.

Mathematics
2 answers:
photoshop1234 [79]3 years ago
6 0

Answer:

y=2x+14

Step-by-step explanation:

First you have to find the slop of the line by dividing Y2-Y1 [6-(-2) and X2-X1 [-4-(-8)], which will be two once simplified. this is the slope. the equation is then y=2x+b. then, we must find b. in order to do this, we must insert two of the points from the ordered pairs. I inserted the points from the second one [-8=2(-4)+b] 2*-4=-8. 8+6=14. b=14. We must then plug in this to the original equation, and the final one will be y=2x+14.

(Hope this helped)

saveliy_v [14]3 years ago
3 0
Use the slope formula and slope-intercept form Y=Mx+b to find the equation.
Y=2x + 14
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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
The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segme
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Step-by-step explanation:

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Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each bea
xz_007 [3.2K]

Answer:

To make a profit of at least $500 she must sell at least 12 necklaces

Step-by-step explanation:

Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each beaded necklace was $15. If Joyce sells the beaded necklaces at $35 each then we have to find beaded necklaces she sell to make a profit of at least $500.

The costs side of the equation, we have:

Let no. of necklaces that she sell are x

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Now, Joyce sells the beaded necklaces at $35 each. Therefore, selling price will be $35x

To make a profit of at least $500 the equation can be written as

95+15x+500\leq35x

595\leq50x

⇒ x\geq11.9=12

Hence,  to make a profit of at least $500 she must sell at least 12 necklaces



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