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3 years ago

Consider the set a = {a, b, {a, b}}, where a and b are distinct elements. the number of elements in ℘(a) is _____

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

7 0

$A=\{a,b,\{a,b\}\}\\|A|=3\\\\|\wp(A)|=2^3=8$

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-5x^2-6=-4x using the Quadratic Formula.

a_sh-v [17]

Answer:

Step-by-step explanation:

-5x² - 6 = -4x

-5x² + 4x - 6 = 0

a = -5 ; b = 4 ; c = -6

Discriminant = b² - 4ac

= 4² - 4*(-5)*(-6)

= 16 - 120

= -104

roots = $\dfrac{-b+\sqrt{D}}{2a} \ ; \ \dfrac{-b-\sqrt{D}}{2a}$

$=\dfrac{-4+\sqrt{-104}}{2*(-5)};\dfrac{-4-\sqrt{-104}}{2*(-5)}\\\\=\dfrac{-4+2i\sqrt{26}}{-10} ; \dfrac{-4-2i\sqrt{26}}{-10}\\\\=\dfrac{(-2)[2-i\sqrt{26}]}{-10} \ ; \ \dfrac{(-2)[2+i\sqrt{26}]}{-10}\\\\=\dfrac{2-i\sqrt{26}}{5} \ ; \ \dfrac{2+i\sqrt{26}}{5}$

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3 years ago

What inequality represents the sentence? The product of a number and 12 is no more than 15.

bulgar [2K]

So when this sign < has a line under the greater sign so this mean greater or equal

same with this

12>= x so this mean 12 greater or equal x but than there is a line under the greater sign so this mean equalitie sure too

hope this will help you

7 0

4 years ago

What is the equation of the line that contains the points (-5, 0) and (0, 6)?

Neporo4naja [7]

Answer:

y=6/5x+6

Step-by-step explanation:

4 0

4 years ago

Can you guys please help me? I understand everything but the last step.

MariettaO [177]

Answer:

It is because you have to get rid of the power of 2 from c. In order to get rid, you have to square root it on both sides :

c² = 74

√(c²) = √74

c^(1/2×2) = √74

c = √74

Using Indices formula, (a^m)^n = a^(mn)

8 0

3 years ago

The Petrified Forest National Park in Arizona recently expanded their boundaries by 93,533 acres. The original acreage was 125,0

leonid [27]

Answer: The new acreage of the park is 218,533.

Step-by-step explanation:

Since we have given that

Original acreage = 125,000

Expanded boundary by = 93,533 acres

We need to find the new acreage of the park.

so,we will use

$New\ acreage=Original\ acreage+Expanded\\\\New\ acreage=125000+93533\\\\New\ acreage=218,533$

Hence, The new acreage of the park is 218,533.

4 0

3 years ago