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2 years ago

Very important!! Solve the inequality 6r + 30 ≥ 12 or -r > 12 (the question is important for high school application c:)

1 answer:

7 0

First simplify the one inequality, 6r + 30 greater than or equal to 12 just divide by 6 then subtract 30 from both sides of the inequality. You should get r is greater than or equal to -3. For this one you need to reverse the inequality symbol then divide both sides by -1 to get a positive r, and you get r is less than -12. It's not A because there's two solutions, and it's not D for the same reason. It's not C because r isn't greater than -12. In conclusion it's B because it correctly represents the solutions that make the inequality true. I hope this helps you on your high school application :)

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Substitution Property of Equality:<br> If AB = 20, then AB + CD

otez555 [7]

Answer:

CD + 20

Step-by-step explanation:

If AB = 20, then AB + CD = 20 + CD

Answer: CD + 20

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2 years ago

The world's largest pumpkin pie weighed 2020 pounds. The pie was 12 and one-third feet across and one-third foot thick. Write a

Yanka [14]

Answer:

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3 years ago

What is the system of inequalities associated with the following graph?

slamgirl [31]

One line passes through the points (-2,3) and (0,-3) , it means the y intercept is b=-3

and slope m = $\frac{(-3-3)}{0-(-2)}$

$= \frac{-6}{2}= -3$

So the equation of line will be $y= -3x -3$

And the inequality should be $y\geq -3x-3$

Or $3x +y \geq -3$

And the other line passes through (-2,3) and (0,2)

So the y intercept is b=2

and the slope is $m= \frac{2-3}{0-(-2)} = \frac{-1}{2}$

So the equation of line will be $y= \frac{-1}{2} x +2\\and the inequality should be y \leq \frac{-1}{2} x+2$

$2y +x \leq 4$

So answer is $3x +y \geq -3, x+2y\leq 4$

6 0

3 years ago

Read 2 more answers

Four different sets of objects contain 2,5,6 and 7 objects respectively how many unique combinations can be formed by picking on

dusya [7]

Answer:

420 unique combinations.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

One object from each set:

2 from one set, 5, 6 and 7 by others. Sets are independent, so, by the fundamental counting principle:

2*5*6*7 = 10*42 = 420

420 unique combinations.

4 0

2 years ago

. CDEF is a trapezium

guajiro [1.7K]

9514 1404 393

Answer:

24 cm²

Step-by-step explanation:

To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...

P = 2(AB +BC)

BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm

Then CD is ...

CD = BD -BC = 9 cm -4 cm = 5 cm

The area of the trapezium is given by the formula ...

A = (1/2)(b1 +b2)h

A = (1/2)(5 cm + 3 cm)(6 cm) = 24 cm²

The area of trapezium CDEF is 24 cm².

3 0

2 years ago