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3 years ago

Does changing the compound inequality x > −3 and x < 3 from “and” to “or” change the solution set? explain.

2 answers:

6 0

Sure yes.

1) x > - 3 or x < 3 means that the solution set is all the numbers greater than - 3 and all the numbers smaller than 3. That is, this union of intervals: (-3,∞) U (-∞,3), which is all the real numbers.

2) x > -3 and x <3 means that the solution set is the numbers that are at the same time greater than -3 and smaller than 3. That is the intersection of the intervals: (-3,∞) ∩ (-∞,3), which is the interval (-3, 3).

8_murik_8 [283]3 years ago

6 0

Yes. In interval notation:

x > -3 and x < 3 = (-3, 3) 

x > -3 or x < 3 = (-inf, inf) 

x > -3 xor x < 3 = (-inf, -3] U [3, inf) where xor is the "exclusive or", either-or but not both.

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Which statement has a false converse?

faltersainse [42]

Answer:

B If a quadrilateral has diagonals that bisect each other, then the quadrilateral is a parallelogram

Explanation:

A rectangle just like a square has diagonals that bisect each other and they are congruent( two lines are congruent if they are equal). A parallelogram is a quadrilateral with parallel sides and when its diagonals intersect, they are congruent too. Therefore a rectangle with diagonals that bisect each other is not necessarily a parallelogram.

4 0

2 years ago

1. Write an equation using equal fractions to represent this situation. Use a box to represent the total time it takes to paint

kondor19780726 [428]

Answer:

It takes 50 minutes to paint the whole box

Step-by-step explanation:

1. Write an equation using equal fractions to represent this situation. Use a box to represent the total time it takes to paint the bookcase.

Wilson paints 40% of a bookcase in 20 minutes.

For the total box

40% = 20 minutes

100% = x

40 × x = 100 × 20

x = 100 × 20/40

x = 50 minutes

3 0

2 years ago

The point (-3,-1) is the midpoint of (x,y) and (5,4). Find the point (x,y).

nirvana33 [79]

Answer:

(-11, -6)

Step-by-step explanation:

Find the distance between the midpoint, (-3, -1) and (5, 4). This can be calculated by finding the difference between the x coordinates and y coordinates.

-3 - 5 = -8 (distance between x coordinates)

-1 - 4 = -5 (distance between y coordinates)

Find the point (x, y) by subtracting 8 from the midpoint's x value, and then subtracting 5 from the midpoint's y value.

-3 - 8 = -11

-1 - 5 = -6

So, the point (x, y) is (-11, -6)

4 0

2 years ago

Confused? Please, Help?

uysha [10]

Domain={-4,3} range={2,3}

8 0

2 years ago

The exact value of cos5pi/12 is:

jonny [76]

Step 1: Convert $\frac{5\pi }{12}$ , which is in radians into degrees. To convert it multiply by $\frac{180}{\pi }$

$\frac{5\pi }{12} =\frac{180}{\pi }$

900/12

Step 2: 75 degrees isn't on the unit circle but 45 degrees and 30 degrees is. Since 45 + 30 = 75 you can use the cosine of 45 and 30 to find the exact value

cos45 = $\frac{\sqrt{2} }{2}$

cos30 = $\frac{\sqrt{3} }{2}$

Step 3: Add the cos45 and cos30 to get cos5pi/12

$\frac{\sqrt{2} }{2} +\frac{\sqrt{3} }{2} = \frac{\sqrt{2}+\sqrt{3}}{2}$

Hope this helped!

4 0

2 years ago