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Helen [10]
2 years ago
11

If the x-values increase as the y-values decrease on a line graph, the slope of the line is

Mathematics
1 answer:
alexandr402 [8]2 years ago
5 0
The slope of the line is negative
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A sundae requires 3 ice-cream scoops and 4 strawberries, and a milkshake requires 2 ice-cream scoops and 6 strawberries. Ramses
drek231 [11]

Answer:

System of inequalities:

3x+2y \leq 25 , 4x+6y \leq 37      

1) Maximum number of sundaes possible = 9

2) Maximum number of milkshakes possible = 6

3) Combination that uses the most of both Ice-cream and Strawberries = 7 scoop of ice-cream and 1 scoop of strawberries.

Step-by-step explanation:

Given : A sundae requires 3 ice-cream scoops and 4 strawberries, and a milkshake requires 2 ice-cream scoops and 6 strawberries.

Ramses wants to make sundaes and milkshakes with at most 25 ice-cream scoops and 37 strawberries.

Let x denote the number of sundaes he makes and y the number of milkshakes he makes.

First we represent in tabular form,

                             Sundae(x)            Milkshake(y)           Total

Ice-cream                  3                           2                         3x+2y

Strawberries             4                            6                         4x+6y

→System of inequalities:

Sundaes and milkshake with at most 25 ice-cream scoops=  3x+2y \leq 25

Sundaes and milkshakes with at most 37 strawberries = 4x+6y \leq 37      

→ Plotting the equations in the graph (figure attached)

1) Maximum number of sundaes possible:

Maximum no. of sundaes possible when y=0

From the graph y=0 at x=9.25

Therefore, Maximum number of sundaes possible is 9

2) Maximum number of milkshakes possible:

Maximum no. of milkshakes  possible when x=0

From the graph x=0 at y= 6.167

Therefore, Maximum number of milkshakes possible is 6

3) Combination that uses the most of both Ice-cream and Strawberries:

Combination of both is possible there is a intersection of both the equation

From the graph intersection point is x=7.6 and y=1.1

Therefore,  Combination that uses the most of both Ice-cream and Strawberries = 7 scoop of ice-cream and 1 scoop of strawberries.


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PLS HELP!! Question is in the photo.
Svetlanka [38]

Answer:

Step-by-step explanation:

angle DCE = angle BAD =  100°

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A. is 21.98 cm
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Solve by graphing if possible: 12n² + 11 = 0
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Step-by-step explanation:

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WRITE THE expression in complete factored form 2y^2(p-4)-7(p-4)
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P - 4 is common to  the 2 parts so we have

(2y^2 - 7)(p - 4)  Answer
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