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3 years ago

If A= [-5,7] and B= [6,10], then find A u B

Mathematics

1 answer:

lesantik [10]3 years ago

7 0

Answer:

$\large\boxed{A\ \cup\ B=[-5,\ 10]}$

Step-by-step explanation:

Look at the picture.

The union of two sets A and B (A ∪ B) is the set of elements which are in A, in B, or in both A and B

You might be interested in

What is the surface area of this rectangular prism?

Lesechka [4]

Answer:

160cm^2

Step-by-step explanation:

So the surface area is basicly the sum of all the areas of the rectangles in this prism.

So the formula can be written as $2(wl + hl+hw)$ .

The w stands for width, the h stands for height, and the l stands for length.

5cm is the width, 10 cm is the length, and 2 cm is the height.

So inserting all those values for the variabls the formula now looks like this.

$2((5)(10)+(2)(10)+(2)(5))$ .

So 5*10 is 50

2*10 is 20

2*5 is 10

So adding all that up we get 80.

Then multiplyong that by 2 we get 160cm^2.

4 0

3 years ago

Which expressions are equivalent to 2 (three-fourths x + 7) minus 3 (one-half x minus 5)? Check all that apply.

Mariulka [41]

Answer:

$2(\frac{3}{4}x+7)+(-3)(\frac{1}{2}x+(-5))$

$2(\frac{3}{4}x)+2(7)+(-3)(\frac{1}{2}x)+(-3)(-5)$

Step-by-step explanation:

The original expression given in the text is

$2(\frac{3}{4}x+7)-3(\frac{1}{2}x-5)$ (1)

And we want to check to what other expressions is equivalent. First of all, we solve it by writing explicitely each term:

$\frac{3}{2}x+14-\frac{3}{2}x+15$ (2)

Let's verify each of the other expressions separately. For the first one:

$2(\frac{3}{4}x+7)+(-3)(\frac{1}{2}x+(-5))$

We see that this is equivalent to expression (1), since the first half is identical, while in the second one, the combination "+-" can be simply written as "-", so we get

$2(\frac{3}{4}x+7)-3(\frac{1}{2}x-5)$

Which is equivalent to (1).

For the 2nd one:

$2(\frac{3}{4}x)+2(7)+3(\frac{1}{2}x)+3(-5)$

This is not equivalent. In fact, here we have applied the distributive property to each term: however, the 3rd and 4th term are not correct, because the (3) must be negative (-3), as in the original expression.

If we write it explicitely in fact, we get

$\frac{3}{2}x+14+\frac{3}{2}x-15$

Which is different from (2).

For the 3rd one:

$2(\frac{3}{4}x)+2(7)+(-3)(\frac{1}{2}x)+(-3)(-5)$

This one is equivalent. In fact, here we have applied the distributive property correctly. By solvign each term we get:

$\frac{3}{2}x+14-\frac{3}{2}x+15$

8 0

3 years ago

Read 2 more answers

Aleksandr [31]

Answer: lower bound = 9550

Step-by-step explanation:

Since the number is rounded to the nearest hundred, the actual value is somewhere between 9550 (which rounds up to 9600) and 9649 (which rounds down to 9600).

The lower bound is: 9550

The upper bound is: 9649

6 0

3 years ago

(-5)^2-2x(-9)+6 Please show work and step by step.

Varvara68 [4.7K]

Answer:

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

==============================================

(-5)² - 2 × (-9) + 6 first Exponents

25 - 2 × (-9) + 6 next Multiplication

25 + 18 + 6 next Addition

43 + 6 = 49

5 0

3 years ago

8+0=8 describe the number sentence

Wittaler [7]

Whatever is adding with 0 its that number its like mulitipulcation with 1 because whatever is times by one like 25x1= 25

8 0

3 years ago

Read 2 more answers