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sergeinik [125]
3 years ago
9

Set a is integers and B is whole numbers which one is correct...please help​

Mathematics
1 answer:
sveticcg [70]3 years ago
7 0
<h3>Answer: Choice J (lower right corner)</h3>

-20 and -7 are in circle A, but outside circle B

0, 9, 81 are in circle B

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

Explanation:

The set of whole numbers is

{0, 1, 2, 3, 4, ...}

While the set of integers is

{ ..., -3, -2, -1, 0, 1, 2, 3, ... }

The difference is that integers involves negative numbers.

-----------------

The upper left corner is incorrect because the "0" should be in set B since 0 is also a whole number. The lower left corner is also ruled out because of this reason.

The upper right corner (choice H) is incorrect as well because 10 and 46 are whole numbers also, so they belong in set B which is a better description/place for them.

So basically the numbers 0,1,2,3,... go in circle B. The negatives of those values will go in circle A, but outside circle B. Only choice J describes this kind of situation.

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Step-by-step explanation:

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leonhard wants to place a triangular-based cabinet in the corner of his rectangle-shaped living room. the triangular base has a
Georgia [21]
The answer is x =  \frac{-7+ \sqrt{193} }{4}.

There is very similar question on Brainly, in which dimensions of the living room are given (20 feet, 30 feet).
So, knowing this, we first need to calculate how much 6% of the living room is.
The area of the living room is 600 square feet, since it is rectangle-shaped:
P = a * b = 200 feet * 30 feet = 600 square feet.

6% of 600 square feet is 36 square feet:
600 square feet : 100% = A : 6%
A = 600 * 6 / 100 = 36 square feet

The area of the triangular-based cabinet (A) is A = \frac{a*h}{2}, where a is the base, and h is the height of the triangle.
It is given:
A = 36
a = 2x + 3
h = 3x + 6

Now, let's implement this to the formula A =  \frac{a*h}{2}:
36 =  \frac{(2x+3)(3x+6)}{2}
⇒ 36*2=6 x^{2} +12x+9x+18
72=6 x^{2} +21x+18

Let's both sides divide by 3:
24=2 x^{2} +7x+6
⇒ 2 x^{2} +7x-18=0

This is the quadratic formula (a x^{2} +bx+c=0) for which
x =  \frac{-b+\sqrt{b^{2} -4ac} }{2a} or
<span>x = \frac{-b-\sqrt{b^{2} -4ac} }{2a}.
</span>We will use only <span>x = \frac{-b+\sqrt{b^{2} -4ac} }{2a}, because the length cannot have negative value.</span>


<span>From the equation 2 x^{2} +7x-18=0, we know that
</span>a = 2
b = 7
c = -18

Thus, <span> x = \frac{-7+ \sqrt{193} }{4}:
</span>x= \frac{-b+ \sqrt{ b^{2} -4ac} }{2a} = \frac{-7+ \sqrt{ (7)^{2} -4*2*(-18)} }{2*2} = \frac{-7+ \sqrt{49+144} }{4} = \frac{-7+ \sqrt{193} }{4}

4 0
3 years ago
What is the value of the function when the value x = 0?
monitta
F(0)=3.  That means when the x input is 0, the y output, the y coordinate, is 3.  It will be a point on the graph of whatever that curve looks like. 
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What are all the expressions that are equal to 16x-12-24x+4
Sedaia [141]

Answer:

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Step-by-step explanation:

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