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1 year ago

6

Subtract the sum of 786 and -554 from the sum of -234 and 7 cube

1 answer:

Xelga [282]1 year ago

6 0

Answer:

-459

Step-by-step explanation in image

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the probabilities that Kojo and Adwoa will pass an examination are 3/4 and 3/5 respectively. Find the probability that both will

olga_2 [115]

Assuming that their exam success is independent then
P(both fail) = 1/4 x 2/5 = 2/20 or 1/10

5 0

2 years ago

What is the factorization of 729^15+1000?

igomit [66]

Answer:

The factorization of $729x^{15} +1000$ is $(9x^{5} +10)(81x^{10} -90x^{5} +100)$

Step-by-step explanation:

This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form $(a^{3} +b^{3} )$ or $(a^{3} -b^{3})$ . It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of $729x^{15} +1000$ by using the <em>sum and difference of cubes </em>factorization.

1.) We calculate the cubic root of each term in the equation $729x^{15} +1000$ , and the exponent of the letter x is divided by 3.

$\sqrt[3]{729x^{15}} =9x^{5}$

$1000=10^{3}$ then $\sqrt[3]{10^{3}} =10$

So, we got that

$729x^{15} +1000=(9x^{5})^{3} + (10)^{3}$ which has the form of $(a^{3} +b^{3} )$ which means is a <em>sum of cubes.</em>

<em>Sum of cubes</em>

$(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})$

with $a= 9x^{5}$ y $b=10$

2.) Solving the sum of cubes.

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )$

$(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)$

.

8 0

2 years ago

How do i solve 4g + 2 ≥ - 14

Kryger [21]

Answer:

g ≥ -4

Step-by-step explanation:

4g + 2 ≥ - 14

-2 -2 Subtract 2 from both sides

4g ≥ -16

g ≥ -4 Divide both sides by 4

5 0

3 years ago

10 x 4 thousands in unit form

Sindrei [870]

Answer:

Step-by-step explanation:

Simplify.

10 x 4000

40000

Unit form.

forty-thousand = four thousands

I'm sorry if I misunderstood.

Please add Brainliest if you'd like, not that it matters.

3 0

3 years ago

What is the product ?

Olenka [21]

Answer:

The answer to your question is:

Step-by-step explanation:

$\frac{x^{2}-16 }{2x + 4} \frac{x^{3}-2x^{2} + x }{x^{2}+ 3x - 4}$

Factorize $\frac{(x+4)(x-4)}{2(x+2)} \frac{x(x^{2}-2x + 1) }{(x+4)(x-1)}$

Factorize $\frac{(x+4)(x-4)}{2(x+2)} \frac{x(x-1)^{2} }{(x+4)(x-1)}$

Simplify $\frac{x(x-4)}{2(x+2)}$

7 0

3 years ago