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Vera_Pavlovna [14]
3 years ago
7

A rational expression simplifies to1/2 The denominator of the original expression is given. Which polynomial is the numerator?

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

3x^2-x-4

Step-by-step explanation:

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In the Venn diagram, consider U = {whole numbers 1-100}
Dmitry [639]
The question is what numbers satisfy A ∩ C.

The symbol ∩ means intersection, .i.e. you need to find the numbers that belong to both sets A and C. Those numbers might belong to the set C or not, because that is not a restriction.

Then lets find the numbers that belong to both sets, A and C.

Set A: perfect squares from A to 100:

1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
8^2 = 64
9^2 = 81
10^2 = 100

=> A = {1, 4, 9, 16, 25, 36, 49, 64, 81, 100}

Set C: perfect fourths

1^4 = 1
2^4 = 16
3^4 = 81

C = {1, 16, 81?

As you see, all the perfect fourths are perfect squares, so the intersection of A and C is completed included in A. this is:

A ∩ C = C or A ∩ C = 1, 16, 81

On the other hand, the perfect cubes are:

1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 81

B = {1, 8, 27, 81}

That means that the numbers 1 and 81 belong to the three sets, A, B, and C.

In the drawing you must place the number 16 inside the region that represents the intersection of A and C only, and the numbers 1 and 81 inside the intersection of the three sets A, B and C.
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3 years ago
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Hendrick wants to enlarge a photo that is 4 inches wide and 6 inches tall. The enlarged photo keeps the same ratio. How y'all is
zhuklara [117]

Answer:

Step-by-step explanation:

Alright, lets get started.

The original photo size is 4 inches wide and 6 inches tall.

So, the ratio of width and height will be = \frac{4}{6}=\frac{2}{3}

The new enlarged photo will be of the same ratio means 2:3

The width of enlarged photo is given as 12 inches.

Suppose new height of enlarged photo is H, so

\frac{12}{H}=\frac{2}{3}

Cross multiplying

2H=36

Dividing 2 in both sides

H=18 inches

So the height of new enlagred photo will be 18 inches.  :   Answer

Hope it will help :)





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3 years ago
Tan(arcsin(x)) and its domain ...?
Mandarinka [93]
- \frac{\pi}{2} < \arcsin{x} < \frac{\pi}{2} &#10;\\&#10;\\\sin(- \frac{\pi}{2}) < \sin(\arcsin{x}) < \sin(\frac{\pi}{2} )&#10;\\&#10;\\-1 < x < 1
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3 years ago
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dedylja [7]

Answer:

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Step-by-step explanation:

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3 years ago
the Children's Hospital sponsors a 10k race to raise money. it receives $75 per race entry and $10,000 in donations but it must
masha68 [24]

Answer:

There would need to be at least 1,800 entries in order for them to meet their goal.

Step-by-step explanation:

To find this, we must write an equation that helps solve it. We know that for every entry (x), we gain 75 and lose 25. We can express this as the following.

75x - 25x

Then we can add the number of donations.

75x - 25x + 10,000

Then we can set it as greater than or equal to the goal number.

75x - 25x + 10,000 ≥ 100,000

Now we solve this using the order of operations.

75x - 25x + 10,000 ≥ 100,000 ----> Combine like terms

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50x ≥ 90,000 -----> Divide by 50

x ≥ 1,800

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