What is the solution set for
3x 2 + 48 = 0 ?
O {6.9, -6.9}
O {4, -4}
O {21, -21]
O {41 , -4; }

Answers

Answer 1

Answer:

{ 4i, - 4i }

Step-by-step explanation:

Given

3x² + 48 = 0 ( subtract 48 from both sides )

3x² = - 48 ( divide both sides by 3 )

x² = - 16 ( take the square root of both sides )

x = ± [tex]\sqrt{-16}[/tex] = ± 4i

solution set is { - 4i, 4i }


Related Questions

which expression is equivalent to 2^3 square root x^2 • square root 16x if x > 0

Answers

Answer:

A

Step-by-step explanation:

The question is actually: 2 \sqrt[3]{x^3} ·\sqrt{16x}

The expression is equivalent to option A, [tex]\rm 8x \sqrt[6]{x}[/tex].

What is an Expression?

An expression is a mathematical statement that consists of variables, constants, and mathematical operators.

The expression is [tex]\rm 2\sqrt[3]{x^2} . \sqrt{16x}[/tex]

The expression can be simplified as

[tex]\rm = 2 . 4 x^{2/3} x^{1/2}\\\\\=8 x ^{ 7/6}\\\\\\ = 8x x^{1/6}\\\\= 8x \sqrt[6]{x}[/tex]

Therefore, the expression is equivalent to option A, [tex]\rm 8x \sqrt[6]{x}[/tex].

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HELP ASAPPPPPPPPP
Which numbers can be classified as rational? Select all that apply.
A. 5/6
B. Squared 11
C. 6.565656...
D. 0.23
E. 0.32416...
F. -5 3/8

Answers

9514 1404 393

Answer:

  A, B, C, D, F . . . as written

Step-by-step explanation:

Any mixed number, fraction, or finite or repeating decimal is rational. The only one in your list that is irrational is E, which appears to be a non-repeating, non-terminating decimal.

__

Your B selection appears to be 11² = 121, an integer and a rational number.

If your B selection is supposed to be √11, then that number is irrational, as it is not the root of a perfect square.

E is irrational; B is rational as written, but irrational if it should be √11. All the others are rational.

Mrs. Wally cut a 21 foot long ribbon into four equal lengths. How many feet long was each length of ribbon

Answers

the answer is:

Each equal length of ribbon is 5.25 ft

Step-by-step explanation:

21 divided by 4 is 5.25

To find the number of distributed quantities division operator is used. Each length of ribbon was 5.25 foot long.

What is division ?

Division is a mathematical operation used to divide a number into equal parts. When a number is divided by another number, a quotient and remainder is obtained.

Given length of ribbon = 21 foot

Number of parts it has to be divided = 4.

So, to get the length of each part divide the total length by 4.

Thus, the length of each part is 21/4 = 5.25 foot.

Hence,  the length Mrs. Wally' s each ribbon is 5.25 foot.

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Help me due in 5 minutes HELP ASAP

Answers

Answer:

J.

Step-by-step explanation:

It crosses through (0,0) and has a slope of 2.5 or rather 5/2 because when the x value is at 4 the y value is at 10 that simplifies to 5/2 or 2.5.

Which line below is parallel to the line that y = 1/2x - 2?
A) y = 1/2x + 2
B) y = -1/2x + 2
C) y = 1/2 - 2x
D) y= 1/2 + 2x

Answers

Answer:

The answer is b

Step-by-step explanation:

Bc it is just basicly the x and y axis

Can someone help me please

Answers

The point at top will be -3,9
The point to the left will be -2,6
The point at the bottom will be 2,2
The point to the right will be 1,5

In the rhombus, the measure of angle 1 = 18x, the measure of angle 2 = x + y, and the measure of angle 3 = 30z. Find the value of x + y + z. The diagram is not drawn to scale. ​

Answers

Answer:

A. 93

Step-by-step explanation:

Each angle is 90 degrees.

18x = 90

x=5

x + y = 90

5 + y = 90

y = 85

30z = 90

z = 3

5 + 85 + 3 = 93

P=50 L=? B=15 find ?​

Answers

Answer:

40

Step-by-step explanation:

A=5

mhdyudpsitsyooatost

PLEASE HELP WITH THE PIC

Answers

D? Tell me if you got it right

I need help pls !!!!!

Answers

D is 77 and f is 55 yeah I don’t have an explanation

What is the y-intercept. Describe how you know in both the table and the graph.

Answers

Answer:

(4,0)

Step-by-step explanation:

the y-intercept is 4 because when the x value is 0 the y value is 4 on both the graph and table

WILL GIVE BRAINLIEST!!!!! Given the equation y = x – 2, you substitute 3 for y. Check all true statements below.
A. You replaced y with 3 temporarily.
B. This is wrong because you can only substitute for x.
C. The equation becomes 3 = x – 2
D. The value of x is 5.
E. The equation y = x – 2 is still true, just with specific values.

Answers

Answer:

y=x-2

a. 3=x-2

b. this isn't wrong??

c. 3=x-2

d. add 2 to both side so taht x is on its own so 5=x

e. yes

Answer:

C and E

Step-by-step explanation:

Im not entirely sure about A, because you are substituting so technically you changed it but the equation is still true (just as E says) but with more specific values.

B is not right because you can replace either y or x

D is not right because if you switch the equation to get the value of x you would make x= -3-2 which would be -5, not 5.

Hope this helped :)

Which expression is equivalent to 9q2-(3q - 7) +5q??
) ?
3

Answers

[tex]9q^2-(3q - 7) +5q= \\\\=9q^2-3q + 7 +5q= \\\\=9q^2+2q + 7[/tex]

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,791 was collected on the sale of 1,275 tickets. How many of each type of ticket were sold?

Answers

9514 1404 393

Answer:

379 adult tickets896 student tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then (1275-a) is the number of student tickets sold. The total revenue was ...

  5a +1(1275 -a) = 2791

  4a = 1516 . . . subtract 1275 and simplify

  a = 379 . . . . . divide by 4

  1275-a = 896

379 adult and 896 student tickets were sold.

17 points
Jeremy drove 18.04 miles on Monday, 18.4 miles on Tuesday, 17.68 miles
on Wednesday, and 17.86 miles on Thursday. Which shows the distances
written in order from greatest to least? *
17.68, 17,86, 18.04, 18.4
18.04, 18.4, 17.86, 17.68
17.86, 17.68, 18.4, 18.04
O 18.4, 18.04, 17.86, 17.68

Answers

Answer:

D. 18.4, 18.04, 17.86, 17.68

Step-by-step explanation:

Very Easy!

there is a certain number. If you add 30 7 to it, then subtract 22 7 from the previous result, and then subtract that difference from 59/7, after that you will get 19 7. What is a certain number?

Answers

Step-by-step explanation:

59 / 7 - ( x + 30 / 7 - 22 / 7 ) = 19 / 7

59 / 7 - ( x + 8 / 7 ) = 19 / 7

59 / 7 - x - 8 / 7 = 19 / 7

- x = 19 / 7 - 59 / 7 + 8 / 7

- x = - 32 / 7

x = 32 / 7

Solve the system below:
10x + y = 22
2x + x = -2

Answers

Answer:

x=negative 2/3,y= positive 86/3

Step-by-step explanation:

Kevin has a rectangular
swimming pools that is 12
feet by 16 feet. He wants
to put a rope diagonally
across the pool. How long
does the rope need to
be?

Answers

Answer:

20 feet long

Step-by-step explanation:

To solve this you need to use the Pythagorean theorum, [tex]a^2+b^2=c^2[/tex], where c is the length of rope needed and A and B are the side lengths. Think of it like a right triangle.

So, the equation is

[tex]12^2+16^2=c^2[/tex]

Which is then

[tex]144+256=c^2[/tex]

[tex]c^2=400[/tex]

And the possible values of c are 20 and -20.

From here we know the answer cannot be -20 because you cannot have a negatively long length of rope, so the answer must be 20 feet.

Answer:

20 feet

Step-by-step explanation:

Use Pythagoras's theorem.

[tex]A^{2}+B^{2} =C^{2} \\12^{2} +16^{2}= C^{2} \\400 = C^{2} \\\sqrt{400}= \sqrt{C^{2}\\\\[/tex]

20 = C

if you go bowling and an hour is $12.99 then how much would it be for 3 hours

Answers

Answer:

36.33 its not correct

Step-by-step explanation:

but if its correct thank me ;)

LM is the midsegment of trapezoid ABCD. If AB = 46 and DC = 125, what is LM?​

Answers

Answer:

LM = 85.5

Step-by-step explanation:

B1 + B2/2

46 + 125/2

LM = 85.5

Ricky bought a jacket for $52.00. If the sales tax is 9.5%, how much did he pay in total?

A.$4.94

B.$61.50

C.$49.40

D.$56.94

Answers

Answer:

D. $56.94

Step-by-step explanation:

52 * 0.095 = 4.94

Add $52 + $4.94

Select the correct locations on the graph. Select the lines that represent functions.

Answers

Answer:

bruh there isnt a graph or anything we cant answer it

Step-by-step explanation:

Answer:

where is it

Step-by-step explanation:

suppose 30% out of 500 students play an instrument describe one way to find 30% out of 500

Answers

Answer:

Multiply 500 by 0.30

Step-by-step explanation:

30% = 0.30 In Decimal Form

Multiply

500x0.30=150

150 Is 30% Of 500

30 x 100 = 3,000

3,000 divided by 500

Answer : 6

Which point lies on the graph of the equation 3x+y=9

A. (-1,9) b. (9,0) c. (1,1) d. (0,9)

Answers

Correct answer:

D. (0,9)
The answer to your question is D

1) Mrs. Houser is baking cookies for an elderly neighbor. She decides to make half of this cookie recipe since she doesn't need the whole thing. Look at the recipe and then answer the questions below ​

Answers

Answer:What’s the question that we have to answer?

Step-by-step explanation:

Answer: it would be 2 1/3 cups

Step-by-step explanation:

A baseball camp is held at a complex that has 6 baseball diamonds. The coaches would like each diamond to have the same number of campers. Use divisibility rules to determine whether this is possible if 152 kids show up for the camp.

Answers

Answer:

Using divisibility rules, it is impossible to have exactly the same number of kids in each of the diamonds

Step-by-step explanation:

Here, we want to use divisibility rule to check for the possibility of 152 kids showing for the kids

Since we need exactly equal number of kids in each of the diamonds, we are going to test the possibilities that we can share 152 to have the same number of campers in each of the diamond

Mathematically 152/6 = 25.3333

Since we have a remainder for the division, it is impossible to share the campers equally in the six diamonds if 152 kids show up for the camp

Can you determine the solution of the |4x−2|≥−6 without solving?

Answers

Answer:

|4x-2|">"-6

add 2 to both sides

4x">"-4

divide both sides by 4

x">"-1

the ">" means greater than or equal to, I just don't have that character on my keyboard

Step-by-step explanation:

so the answer is x is greater than or equal to -1

IN: (-∞,-1]

for number line: You would write the number line from -1-10  

then, you would put  a closed dot on negative one, with an arrow going to the right!

Hope this helped! <3

What will be the slope of (3,-4) and (1,2)

Answers

Answer:

[tex]\boxed {m = 1}[/tex]

Step-by-step explanation:

Use the Slope Formula to determine the slope of two given points:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

First Point: [tex](x_{1}, y_{1})[/tex]

Second Point: [tex](x_{2}, y_{2})[/tex]

-Substitute both points:

First Point: [tex](3, -4)[/tex]

Second Point: [tex](1, 2)[/tex]

[tex]m = \frac{2 + 4}{1 - 3}[/tex]

-Solve for the slope:

[tex]m = \frac{2 + 4}{1 - 3}[/tex]

[tex]m = \frac{-2}{-2}[/tex]

[tex]\boxed {m = 1}[/tex]

Therefore, the slope is [tex]1[/tex].

Question 2 (1 point)
A video game has three villains who appear on screen at different intervals. One villain appears every 2 seconds, a second villain appears every
19 seconds, and a third villain appears every 10 seconds. How much time passes between the occasions when all three villains appear at the
same time?

Answers

Answer:

3 minutes tens seconds or 190 seconds

Step-by-step explanation:

Find the LCM.

Whitney's bill at a diner came up to $26.00. What would her total be if she included a 20% tip?

Tax using the percent equation.

Answers

20% of 26 is 5.2.

So Whitney would include a $5.20 tip which would make the total $31.20.

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