Simplify this question

Simplify This Question

Answers

Answer 1

[tex]3 + \sqrt{ - 12} \\ = 3 + \sqrt{ 2 \times 2 \times - 3} \\ = 3 + 2 \sqrt{ - 3} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer 2

[tex]\\ \sf\longmapsto 3+√-12[/tex]

[tex]\\ \sf\longmapsto 3+√12i[/tex]

[tex]\\ \sf\longmapsto 3+√2(2)(3)i[/tex]

[tex]\\ \sf\longmapsto 3+2√3i[/tex]


Related Questions

1308 evaluated khan academy

Answers

Answer: what? What’s the question?

How do i do 5√2 x 3√2? Please show a step by step explanation Thank you <3

Answers

Step-by-step explanation:

As it's a product, just multiply each number! We notice there are 2 identical square roots multiplied, and we know that: [tex]\sqrt{x} * \sqrt{x} = x\\[/tex].

So we'll remain with: 5 * 2 * 3 = 30.

:)

Answer:

30

Step-by-step explanation:

First multiply 2 square root with 2 square root and since they are identical the answer will be 2.

Now multiply 3 and 5:

3×5= 15

Now we have two numbers 15 and 2, we will multiply 15 with 2 and we get 30

I couldn't explain well but I hope you understand

solve y=f(x) for x. Then find the input when the output is -3. f(x)=3x^3


x=___



The input is____when the output is-3​

Answers

[tex]f(x) =-3\\\\\implies 3x^3= -3\\\\\implies x^3 = -1\\\\\implies x = \sqrt[3]{-1} ~~\text{or}~~ x= \sqrt[3]{-1} \left(\dfrac{-1 \pm i\sqrt 3}2\right)\\[/tex]

[tex]\text{For x} \in \mathbb{R}, ~\text{the answer is x} = \sqrt[3]{-1} = -1[/tex]

5. (27:21) Harry says there are 5 families gone on
one block alone. If there are 12 families on that
block, how many families might you expect to be
gone on a street with 60 families?

Answers

Based on the number of families that left and the number in total on that block, the expected number of families gone on the other block is 25 families.

On the first block, the proportion of families that is gone is:

= Number of families gone / Total number of families on block

= 5 / 12

If there are 60 families on a block, the number gone would be:

= Proportion of families gone x Total number of families

= 5/12 x 60

= 25 families

In conclusion, 25 families would be gone

Find out more on proportions at https://brainly.com/question/11570843.

Staci pays $32.70 for 5 cell phone cases. Each case costs the same amount. How much does eachcase cost?

Answers

Answer: Each phone case costs $6.54.

Explanation:

$32.70 ÷ 5 = cost per cell phone

$32.70 ÷ 5 = $6.54

consider each table. does the table represent a proportional relationship? Select yes or no for tables A-C

Answers

Answer:

A. No, it does not represent a proportional relationship.

B. Yes, it represents a proportional relationship.

C. No, it does not represent a proportional relationship.

Step-by-step explanation:

think of the increase for X and Y, if they increase at the same rate for both and and for X to Y, they have a proportional relationship.

Question 5 of 10
What is the solution to this equation?
6x + 10 - 2x = 7 + 23
A. X = 15
B. X= 4
C. X= 5
D. X= 2

Answers

Answer:

x=5

Step-by-step explanation:

First you combine the like terms. next you add 7+23. After that you subtract 10 from both sides. You're left with 4x=20. divide the equation by 4 on each term. Then you're left with x=5.

The Answer is C.
Start by isolating the constant from the variable values
6x-2x=7+23-10
4x=20
Then divide by 4
X=5

Which correlation coefficient best matches the graph?

Answers

Answer:

Which graph?

Step-by-step explanation:

Answer:

where is the graph

Step-by-step explanation:

umm i dont know how to answer

I\ need\ the\ answers\ for\ 6.07\ 8th\ grade\ on\ peak\ fueled

Answers

Answer:

what's the question that you need answered?

Step-by-step explanation:

?

Today, everything at the store is on sale. The store offers a 20% discount
If the regular price of an item is x dollars, what is the discount price in dollars?

Answers

Answer:

.8x dollars

Step-by-step explanation:

Twenty percent off means you are paying 80 percent of every dollar, and 80 percent translates to .8 to 1 as a proportion.

Answer:

$.80x

Step-by-step explanation:

0.80x

What another number is divider to pi 3.14

Answers

The another number is divider to pi 22/7

The another number is divider to pi 22/7

Please help me with this it’s is urgent

Answers

Answer:

the nominator could be any number here

Step-by-step explanation:

what do you need ? the equation itself is true, if you put the same number in both places above 21.

any number is possible there, it will not change the equation.

so, again, I am not sure, what you need here.

let's write it with a variable to make my statements clearer :

9 + 1 x/21 = 10 x/21

that is true, because we can combine the whole numbers first giving us 9 + 1 = 10.

and then we add the fraction again (x/21).

again, you can put any number instead of x, and it will always be true.

example

9 + 1 4/21 = 10 4/21

Find the value of f(7).
y = f(x)

Answers

-1 should be your answer. It is where the parabola intersects when x=7

What is the measure of angle B?

Answers

Answer:

m∡B = 120°

Step-by-step explanation:

base angles are equal

adjacent angles are supplementary so:

4x+20 + 3x-15 = 180

7x + 5 = 180

7x = 175

x = 25

∡B = 4(25) + 20

∡B = 120°

Answer:

39.6

Step-by-step explanation:

(3x-15)+(4x+20)+2x=360

9x+5=360

9x=355

*Divide each side by 9*

X=39.4

*SUBSTITUTE X*

3(39.4)-15=103.2

4(39.4)+20=177.6

*ADD THE TOTALS FROM ABOVE*

103.2+177.6= 280.8

360-280.8=79.2

*DIVIDE THE TOTAL BY 2*

79.2/2=39.6

*CHECK*

3(39.4)-15=103.2

4(39.4)+20=177.6

103.2+177.6+39.6+39.6=360 IS CORRECT.

Hope this helps! :)

Which inequality is graphed on the number line?

Answers

The answer is C
First you add 11 on both sides
So your left with
3a<= 18
Then divide by 3 on both sides to get
a<=6 which is plotted on the graph

II. Solve the problems involving variations. Show your complete solution. (3 points each) 1. If y varies directly as the square of x, and y = 32 when x = 2, find y when x = 5. 2. The force of attraction (F) between two opposite electrical charges varies inversely as the square of the distance (d) between them. If F = 18 when d = 10, find F when d = 15. 3. If y varies jointly as x and z, find y if x = 3, k = 6 and z = 9​

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

y varies directly as x² then the equation relating them is

y = kx² ← k is the constant of variation

To find k use the condition y = 32 when x = 2

32 = k × 2² = 4k ( divide both sides by 4 )

8 = k

y = 8x² ← equation of variation

When x = 5 , then

y = 8 × 5² = 8 × 25 = 200

(2)

Given F varies inversely as d² then the equation relating them is

F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation

To find k use the condition F = 18 when d = 10

18 = [tex]\frac{k}{10^2}[/tex] = [tex]\frac{k}{100}[/tex] ( multiply both sides by 100 )

1800 = k

F = [tex]\frac{1800}{d^2}[/tex] ← equation of variation

When d = 15 , then

F = [tex]\frac{1800}{15^2}[/tex] = [tex]\frac{1800}{225}[/tex] = 8

(3)

y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

when x = 3, y = 6, z = 9 ,then

y = 6 × 3 × 9 = 162

Amelia and her children went into a grocery store and she bought $10
worth of apples and bananas. Each apple costs $1 and each banana
costs $0.50. She bought a total of 12 apples and bananas altogether.
Determine the number of apples, x, and the number of bananas, y,
that Amelia bought.

Answers

8 apples and 4 bananas as 8x =£8.00 and 4y=£2.00 and 8+4=12 and £8+£4=£10

of the 400 employees,5% of them managers.How many managers does the zoo employ?

Answers

Answer:

20 of them are managers

Step-by-step explanation:

Basically All you gotta do is convert that 5 percent to a decimal, so 5% = 0.05

400 x 0.05 (multiplying it will just increase your answer) and you will get 20

To check it

20/5% or 0.05 = 400

PLEASE HELP QUESTION IN PIC.

Answers

Answer:

21.8

Step-by-step explanation:

Which equation choice could represent the graph shown below?

Answers

it has to be an equation that adds up to an exponent of 3


A television set costs $4500 cash. When bought on hire-purchase, a deposit of $450 is
required, followed by 12 monthly payments of $400. How much is saved by paying cash?

Answers

Answer:

$750

Step-by-step explanation:

did the problem

What is the slope of the line that passes through the points (10, 2) and (19, 14)?
Write your answer in simplest form.

Answers

Answer:

The slope of this line is 4/3.

Step-by-step explanation:

(x1, y1) = (10, 2)

(x2, y2) = (19, 14)

First, find the slope using the slope formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

All this is doing is finding the distance between the y-coordinates and dividing it by the distance between the x-coordinates. I marked these two as points 1 and 2 above, so you can plug in all 4 values and solve:

[tex]m=\frac{14-2}{19-10}\\\\m=\frac{12}{9}\\\\m=\frac{4}{3}[/tex]

The slope of this line is 4/3.

When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n.

Answers

Answer:

i think n = 4

Step-by-step explanation:

3(n+7) = 33

3n+21 = 33

3n = 12

n = 4

Answer:

n=4

Step-by-step explanation:

3(n+7)=33

3n + 21=33

3n=33-21

3n=12

n=12÷3

n=4

Describe the location of point (4,2) on a coordinate plane. Enter a number in each box to complete the sentence.

The point is

units up from the origin on the y-axis and

units to the right of the origin on the x-axis.

Answers

Answer:

2 units up and 4 units to the right.

Step-by-step explanation:

It is 2 units up and 4 units to the right because since the x-coordinate is positive, that means the point is to the right of the origin and since the y-coordinate is positive, that means the point is above the origin.

Can someone please help me with this one I would appreciate it very much!! :D

Answers

Answer:

Abby will earn $510 if she works 60 hours.

Step-by-step explanation:

8 hrs --> $68

1 hr --> 68 × 1/8 = $8.5

So, 60 hrs

= 8.5 × 60

= $510

510,

it gives you the ratio of 30:255
to get from 30 to 60, you multiply by 2
you do the same with 255 and get 510
510

1085/7 show your work

Answers

Answer:

155

Step-by-step explanation:

3.9 as a improper fraction

Answers

Answer:

18/5

Step-by-step explanation:

simple division mm m m k l k obkbono

Answer:

39/10

Step-by-step explanation:

I promise you correct answer ur welcome

Solve -(2x + 4) = 18.
7
-11
11
-7

Answers

Answer:

x=7

Step-by-step explanation:

Hope this helps!

Please solve this question

Answers

Answer:

K so we want to find angle EFC

Its a much longer process

AC is a line, so its 180 degrees

ED is 32 (This also makes AB 32 degrees)

Now we need DC

Find the other side angle length

180 - 32 - 87 = 61

theta is 61+32

A ramp for a loading truck is 13 long and covers 12 feet along the level ground. How many feet high is the highest point on the ramp?

Answers

Answer:

5 feet

Step-by-step explanation:

Using pythagoras' theorem a^2 = b^2 + c^2

13^2 = 12^2 + c^2

c^2 = 25

c = 5 feet

Answer:5

Step-by-step explanation:

e: x10+x15+x30=3

⇒3x+2x+x30=30

∴x=15

a: 1.5t+2.5t+3.5t=70+0.5t

⇒7.5t−0.5t=70

⇒7t=70⇒t=707=10

b: Let the number be x.

Given that, 2x3−x6=10

⇒4x−x6=10

x=20

d: 3x+5>25−x

⇒3x+x>25−5

⇒4x>20⇒x>204⇒x>5.

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