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3 years ago

For which of the following compound inequalities is there no solution?

Mathematics

2 answers:

gayaneshka [121]3 years ago

8 0

Answer:

3m - 12 > 30 and -6m >= 24

Step-by-step explanation:

A. 3m - 12 > 30 and -6m >= 24

3m > 42 and m < = -4

m > 14 and m < = -4

This has no solution

B. -6m >= 12 and m + 5 -18

cannot solve since missing inequality

C. -5m < 20 and 6m > -18

m > -4 and m > -3

solution m > -3

D. -4m - 10 <= -22 and 6m - 8 >= 22

-4m < = -12 and 6m > = 30

m > = 3 and m > =5

m > = 5

meriva3 years ago

4 0

Answer:

Step-by-step explanation:

$3m - 12 > 30 \text{ and } -6m\geq 24$

$\boxed{3m - 12 > 30 \wedge -6m\geq 24}$

$m>14 \wedge m\leq -4$

There's no solution. It is the first one already. There is no number that is both greater than 14 and less than or equal to -4. That is no solution because there's no $m$ that satisfy the compound inequality.

Note: the signal change because we divided by negative number.

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Jonathan bought 6 cans of paint and 2/3 of a pint of special paint additive formulated to reduce mildew. Before painting his hou

gayaneshka [121]

Answer:

1/9 pint

or 2/9 cup

Step-by-step explanation:

This question is asking us to divide 2/3 pint among 6 cans.

2/3 ÷ 6

2/3 × 1/6

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= 1/9 pint or 2/9 cup additive

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2 years ago

Multiply. 2x(x2 + 2x - 6)

Stels [109]

2x(x2 + 2x - 6)
First add what is in the "(" wich is 2x+2x
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3 years ago

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A game has a circular playing area in which you must hit a ball into a circular hole. The area of the playing area is 16ft2. The

frez [133]

Considering the area of the hole, it is found that there is a 4.9% probability of hitting a ball into the circular hole.

<h3>What is the area of a circle?</h3>

The area of a circle of radius r is given by:

$A = \pi r^2$

In this problem, the hole has a diameter of 1 ft, hence it is radius is of r = 1 ft/2 = 0.5 ft, and it's area is given by:

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More can be learned about probabilities at brainly.com/question/14398287

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1 year ago

Write in point-slope form the equation of the line that is parallel to the given line and passes through the given point.Your fi

SOVA2 [1]

Answer:

$y = x$

Step-by-step explanation:

The given equation is

$y = x + 5$

The slope of this line

$m = 1$

Since all parallel lines have the same slope, the slope of our line is also m=1.

We now use the point-slope formula

$y-y_1=m(x-x_1)$

Since the line passes through (-1,-1)

We gave

$x_1=-1,y_1=-1$

We substitute the slope and point to get

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3 years ago

A graph represents the feasible region for the system: y is less than or equal to 2x, x + y is greater than or equal to 45, and

atroni [7]

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