I WILL MARK BRAINLIEST

URGENT DUE AT 1:00 PLZ HELP... MATH123456

Yuri [45]

Answer:

Step-by-step explanation:

Nose

6 0

3 years ago

PLEASE HELP WITH THIS ONE QUESTION

oksian1 [2.3K]

Answer:

x = 0 , -2 , 1 +i√3 ; 1 - i√3

Step-by-step explanation:

2x⁴ + 16x = 0

2x(x³ + 8) = 0

2x(x³ + 2³) = 0

2x (x + 2)(x² -2x + 2²) = 0 {a³ + b³ = (a + b)*(a² -ab +b²}

2x = 0

x = 0

x + 2 = 0

x = -2

x² - 2x + 4 = 0

a = 1 ; b = -2 and c = 4

D = b² - 4ac = (-2)² - 4*1*4= 4 - 16 = -12

$\sqrt{D} = \sqrt{-12}=\sqrt{2*2*3i^{2}}=2i\sqrt{3}$

root = (-b ± √D)/2a

= (-(-2) ± 2i√3)/2*1

= (2 ± 2i√2)/2

$= \dfrac{2(1 + i\sqrt{3})}{2} \ ; \dfrac{2(1+i\sqrt{3})}{2}\\\\\\= 1 + i\sqrt{3} \ ; \ 1 - i\sqrt{3}$

7 0

3 years ago

What is the greatest common factor of 9, 18, 42

Grace [21]

The greatest common factor is 3<span />

6 0

3 years ago

Read 2 more answers

Determine the total number of proper subsets of the set of letters from the English alphabet a,b, c, ...,j. The number of proper

Inga [223]

$\{a,b,c,\ldots,j\}$ has ten elements, so any proper subset has at most nine of these elements.

The number of ways of taking any $0\le n\le 9$ letters from this set is given by the binomial coefficient,

$\dbinom{10}n=\dfrac{10!}{n!(10-n)!}$

and in particular, the total number of ways to picking proper subsets is

$\displaystyle\sum_{n=0}^9\binom{10}n=\dbinom{10}0+\dbinom{10}1+\cdots+\dbinom{10}9$

Without computing each term directly, let's instead use a direct result from the binomial theorem, which says

$\displaystyle\sum_{n=0}^N\binom Nna^nb^{N-n}=(a+b)^N$

If we replace $a=b=1$ , then we're left with

$\displaystyle\sum_{n=0}^N\binom Nn=(1+1)^N=2^N$

We can use this to evaluate our sum directly:

$\displaystyle\sum_{n=0}^9\binom{10}n=\sum_{n=0}^{10}\binom{10}n-\binom{10}{10}=2^{10}-1=1023$

8 0

3 years ago

bridget went fishing with her dad. Bridget caught the first fish of the day and it weighed f ounces. that day she caught four mo

marishachu [46]

Assuming all the fishes caught by Bridget and her dad have the same total weight, then the first fish Bridget caught would weigh <u>5 ounces</u> while the first fish caught by her dad weighed <u>17 ounces</u>.

<h3>What is weight?</h3>

Weight can be defined as the force acting on an object or a physical body due to the effect of gravity. Also, the weight of a physical object (body) is typically measured in Newton or ounces.

<h3>How to calculate the weight of the first fish?</h3>

First of all, we would determine the weight of all of the fishes caught by both Bridget and her father (dad) while translating the word problem into an algebraic equation as follows:

For Bridget, we have:

Bridget's fish = f + 2f + 3f + 2 + ½f + ⅗f

Bridget's fish = 7 f/10 + 2 ......equation 1.

For her dad, we have:

Dad's fish = 3f + 2 + ⅘f + 2f + 4 + ½f

Dad's fish = 6 3f/10 + 6 ......equation 2.

Equating eqn. 1 and eqn. 2, we have:

7 f/10 + 2 = 6 3f/10 + 6

7 f/10 - 6 3f/10 = 6 - 2

8f/10 = 4

8f = 40

f = 40/8

Bridget, f = 5 fishes.

Since her dad's fish weighed 2 more than 3 times, we have:

Dad = 3f + 2

Dad = 3(5) + 2

Dad = 15 +2

Dad = 17 ounces.

In conclusion, the first fish Bridget caught would weigh <u>5 ounces</u> while the first fish caught by her dad weighed <u>17 ounces</u> assuming all the fishes caught by Bridget and her dad have the same total weight.

Read more on word problems here: brainly.com/question/13170908

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Complete Question:

Bridget went fishing with her dad. Bridget caught the first fish of the day, and it weighed f ounces. That day, she caught four more fish. One was 2 times the weight of the first fish, another was 2 more than 3 times the weight of the first fish, the next was 1/2 the weight of the first fish, and the last was 3/5 the weight of the first fish. Bridget’s dad caught four fish. The first fish he caught weighed 2 more than 3 times the weight of the first fish caught that day. One fish weighed 4/5 the weight of the first fish caught that day, one weighed 4 more than 2 times the weight of the first fish caught that day, and the last weighed 1/2 the weight of the first fish caught that day.

If all the fish Bridget caught have the same total weight as all the fish her dad caught, then the first fish Bridget caught weighed___ ounces and the first fish her dad caught___ weighed ounces.

4 0

2 years ago