Which system of inequalities is graphed below?

Mathematics

1 answer:

Oksanka [162]2 years ago

3 0

Answer: It’s b

Explanation: The slope of the blue line is 1/2 and the shaded area goes up. The inequality sign is > or equal to which means that it would be shaded above.

The slope for the red line is 2, and the shaded area is below. The inequality sign for this is < or equal to which means it would be shaded below.

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Answer this and explain please

Nitella [24]

Answer:

x = 3

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle:

15x + 5 + 22x + 4 = 120 add like terms

37x + 9 = 120 subtract 9 from both sides

37x = 111 divide both side by 37

x = 3 and to find the angles replace x with 3 in given expressions

4 0

2 years ago

The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and

seropon [69]

Answer:

The maximum profit is reached with 4 deluxe units and 6 economy units.

Step-by-step explanation:

This is a linear programming problem.

We have to optimize a function (maximize profits). This function is given by:

$P=98D+72E$

being D: number of deluxe units, and E: number of economy units.

The restrictions are:

- Assembly hours: $3D+2E\leq24$

- Paint hours: $0.5D+1E\leq8$

Also, both quantities have to be positive:

$D\geq 0\\\\E\geq0$

We can solve graphically, but we can evaluate the points (D,E) where 2 or more restrictions are saturated (we know that one of this points we will have the maximum profit)

$(8;0) \rightarrow P=98*8+72*0= 784\\\\(0;8) \rightarrow P= 98*0+72*8=576\\\\(4;6) \rightarrow P=98*4+72*6=824$