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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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A coffee shop spends $408 for an order of 17 cases of paper cups.
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Answer:

Option C is correct

$528 will the total cost spends by coffee shop

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity of 1, such as 3 feet per second or 7 miles per hour, they are called unit rates.

As per the statement:

A coffee shop spends $408 for an order of 17 cases of paper cups.

Unit rate per cases = \frac{408}{17} =\$24

Now, if If the coffee shop adds 5 more cases of paper cups to the order

then,

total number of cases = 17 +5 = 22 cases

To find how much  total cost coffee shop spends.

Total cost = unit rate \times total number of cases

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3 years ago
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use Euler's method with a step size of 0.4 to approximate the solution of the differential equation y'=2xy; y(1)=2, at x=3
NISA [10]

Answer:

Approximate solution is 541.

Step-by-step explanation:

y' = 2xy, Δx = 0.4.

Make a table:

x       y            y'            y' Δx + y

1        2           4             4*0.4 +  2 = 3.6   <---this is the new y value.

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3 years ago
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Answer: x = 21°

Step-by-step explanation:

37 + 4x + (3x - 4) = 180°   Original Equation

37 + 4x + 3x - 4 = 180°   Commutative Property of Addition

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D. 1

Step-by-step explanation:

7,491 times 19 yields 142, 329

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