All categories

3 years ago

What is the sum of the complex numbers below? 4−7i and −3+5i

Mathematics

1 answer:

Gnesinka [82]3 years ago

3 0

Answer:

d 1–2i

Step-by-step explanation:

(4–7i)+(–3+5i)=1–2i

You might be interested in

Factoriza el siguiente trinomio 6x^2 – 26x – 200

Virty [35]

Answer:

2 (x + 4)(3x - 25)

Step-by-step explanation:

$6 {x}^{2} - 26x - 200$

$3 {x}^{2} - 13x - 100$

$2 (x + 4)(3x - 25)$

4 0

3 years ago

Tara has 2000 in her savings account David has 1/10 as much as Tara in his account how much does David have in his savings accou

Paraphin [41]

200$ because if you do 2000dovided by 10 then it will equal=200 so loook 200x10=2000 so 1/10=200

7 0

3 years ago

drew makes $8 a week on allowance and pends $3. write an expression to show how much he has at the end of the week. Use parenthe

postnew [5]

X is how much he makes in a week. 7(8-3)=x

6 0

3 years ago

Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.

barxatty [35]

Answer:

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

Step-by-step explanation:

The mean value of function within a given interval is given by the following integral:

$\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx$

If $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ , $a = 0$ , $b = b$ and $\bar f = 8$ , then:

$\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8$

$\frac{7}{b}\int\limits^b_0 \, dx + \frac{10}{b} \int\limits^b_0 {x}\, dx - \frac{9}{b} \int\limits^b_0 {x^{2}}\, dx = 8$

$\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8$

$7 + 5\cdot b - 3\cdot b^{2} = 8$

$3\cdot b^{2}-5\cdot b +1 = 0$

The roots of this polynomial are determined by the Quadratic Formula:

$b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

7 0

3 years ago

write an expression for add 2 and 4 and multiply the sum by 3 next add 5 to that product in double the results

Rzqust [24]

So let's start from the beginning.

Add 2 and 4:

(2 + 4)

Multiply the sum by 3:

3(2 + 4)

Then add 5 to that product:

3(2 + 4) + 5

Then double the results:

2[3(2 + 4) + 5]

8 0

3 years ago