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3 years ago

NEED HELP PLEASE!

Mathematics

1 answer:

USPshnik [31]3 years ago

5 0

Answer:

$(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16$

Step-by-step explanation:

Complex numbers identity:

The complex numbers identity is:

$i^2 = -1$

Square of the sum:

$(x + y)^2 = x^2 + 2xy + y^2$

In this question:

$(x + (3+5i))^2$

$x^2 + 2x(3+5i) + (3+5i)^2$

$x^2 + 6x + 10xi + 9 + 30i + 25i^2$

$x^2 + 6x + 9 + (10x+30)i - 25$

$x^2 + 6x + (10x+30)i - 16$

$(x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16$

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Given f(x)=3x-2x^2 find f(3)

lilavasa [31]

Answer:

Step-by-step explanation:

Let's solve for f.

y=3x−2x2findf(3)

Step 1: Flip the equation.

−6df2inx2+3x=y

Step 2: Add -3x to both sides.

−6df2inx2+3x+−3x=y+−3x

−6df2inx2=−3x+y

Step 3: Divide both sides by -6dinx^2.

−6df2inx2

−6dinx2

−3x+y

−6dinx2

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3x−y

6dinx2

Step 4: Take square root.

f=√

3x−y

6dinx2

or f=−√

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Answer:

f=√

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or f=−√

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7 0

3 years ago

Find the mean of 1.8,1.7,1.3,1.1,1.2,1.6,1.8

Tpy6a [65]

Answer:

1.5

Step-by-step explanation:

To find the mean, we must add all of our terms, and then divide by the number of terms.

$1.8+1.7+1.3+1.1+1.2+1.6+1.8$

Solve:

$1.8+1.7+1.3+1.1+1.2+1.6+1.8=10.5$

Since we have seven terms, we must divide our total ( $10.5$ ), by seven.

$10.5$ ÷ $7$

Solve:

$10.5$ ÷ $7=1.5$

Therefore, the mean is $1.5$

8 0

4 years ago

Read 2 more answers

Match the real-world problem to its constant of proportionality.

BabaBlast [244]

Answer:

a. $18.36 for 3 pizzas : k = 6.12

b. $4.17 for 3 pounds of bananas . k = 1.39

c. $16.48 for 4 pounds of potatoes . k = 4.12

d. 2 cups of flour to make 24 cookie . k = 2

Step-by-step explanation:

<u>PROPORTIONALITY:</u>

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k i s called the PROPORTIONALITY CONSTANT.

⇒ $x \propto y \implies k = \frac{x}{y}$

Now, for the given quantities:

a. $18.36 for 3 pizzas [box]

Here, $k = \frac{18.36}{3} = 6.12$

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, $k = \frac{4.17}{3} = 1.39$

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, $k = \frac{16.48}{4} = 4.12$

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here, $k = \frac{24}{2} = 12$

So, the proportionality constant is 12

6 0

4 years ago

Will mark as brainliest asap

Yanka [14]

Answer:

none of the above because if each tick equalls one there is a letter at -2 not -1

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

(16) In 2008, the number tourists visiting France was 7.94 x 1017. The

azamat

Answer:

3.67 × 10^7

Step-by-step explanation:

Number of tourists visiting France = 7.94 × 10^7
Number of tourists visiting Italy = 4.27 × 10^7

<u>The difference:</u>

7.94 × 10^7 - 4.27 × 10^7 =
(7.94 - 4.27) × 10^7 =
3.67 × 10^7 more visitors in France

6 0

3 years ago