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Shkiper50 [21]
3 years ago
8

One a piece of paper graph this system of inequalities y<-1/3x+3, y>3x+2

Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y < -\frac{1}{3}x+3 ----> inequality A

The solution of the inequality A is the shaded area below the dashed line y=-\frac{1}{3}x+3

The slope of the dashed line is negative

The y-intercept of the dashed line is 3

The x-intercept of the dashed line is 9

y > 3x+2 ----> inequality B

The solution of the inequality B is the shaded area above the dashed line y=3x+2

The slope of the dashed line is positive

The y-intercept of the dashed line is 2

The x-intercept of the dashed line is -2/3

The solution of the system of inequalities is the shaded area between the two dashed lines

see the attached figure

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The cost of a book was decreased from 60 to 50 by what percent the price decrased with solution​
Artist 52 [7]

Answer:

The price decreased by 16 1/3%, or approximately 16.3%

Step-by-step explanation:

Use the formula for percent change. If the answer is negative, it is a percent decrease. if the answer is positive, it is a percent increase.

percent change = (new price - old price)/(old price) * 100%

In this case, use:

new price = 50

old price = 60

percent change = (new price - old price)/(old price) * 100%

percent change = (50 - 60)/60 * 100%

percent change = -10/60 * 100%

percent change = -1/6 * 100%

percent change = -100/6% = -50/3% = -16 1/3%

The price decreased by 16 1/3%, or approximately 16.3%

7 0
3 years ago
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6 0
3 years ago
Samantha buys a pair of sneakers that were originally $60. They were on sale for 25%
Alex_Xolod [135]

Answer:

$47.70

Step-by-step explanation:

60.00 x .25 = 15  ( so $15.00 off the shoes )

60.00-15.00 = 45.00

45.00 x .06 = 2.70 (2.70 is your sales tax so add that to you sale price )

$45.00 + $2.70 =$47.70 Total

3 0
3 years ago
Which triangle side lengths form a right triangle? Choose all that apply.
dybincka [34]
C. 8,15,17
E. 15,20,25
4 0
3 years ago
The ellipse with center C(2, -3), vertices V(-8,-3) and V2(12,-3), and foci F1(-4,-3) and F2(8,-3). 6.
attashe74 [19]

Answer:

(x-2)²/100 + (y+3)²/64 = 1

Step-by-step explanation:

C (2,-3): h=2 k=-3

semimajor axis (CV): a=12-2=10

center-foci: c=8-2=6

semi minor axis: b² = a²-c²= 100 - 36 = 64

equation: (x-h)²/a² + (y-k)²/b² = 1

(x-2)²/100 + (y+3)²/64 = 1

6 0
3 years ago
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