Solve 2x^2 - 3x = 12 using the quadratic formula.
A) x = 3/4+√105/4i, x = 3/4-√105/4i
B) x = 3/4+√87/4i, x = 3/4-√87/4i
C) x = 3/4 + √87/4, x = 3/4-√87/4
D) x = 3/4 + √105/4, x = 3/4-√105/4

Answers

Answer 1

Answer:

[tex]x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ [/tex]

Step-by-step explanation:

2x² - 3x - 12 = 0

Using the quadratic formula which is

[tex]x = \frac{ - b \pm\sqrt{ {b}^{2} - 4ac} }{2a} \\ [/tex]

From the question

a = 2 , b = - 3 , c = - 12

So we have

[tex]x = \frac{ - - 3\pm \sqrt{ ({ - 3})^{2} - 4(2)( - 12)} }{2(2)} \\ = \frac{3\pm \sqrt{9 + 96} }{4} \\ = \frac{3\pm \sqrt{105} }{4} \: \: \: \: \: \: [/tex]

Separate the solutions

We have the final answer as

[tex]x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ [/tex]

Hope this helps you


Related Questions

Classify the polynomial by its degree and the number of terms. 8x²- 3y + 7

Answers

Answer:

2nd degree

Step-by-step explanation:

How to add rational numbers with different denominator ?
How to add rational numbers with same denominator ?

Help! ​

Answers

Answer:

6/7 + 18/7 = 24/7

Step-by-step explanation:

you add the numerator while the denominator remains the same

HELPP ME PLSSS!!! thank you!

Answers

I think is A I really hope this is right!

A cube with an edge of 10cm is filled with water.How much water contain.​

Answers

Answer:

We know that all cube's sides are the same, so 10^3 = 1000 cm3 = 1000 ml = 1L

Step-by-step explanation:

Have a great day :)

What is -2 (7-4)+4=-4

Answers

It equals to
-2=-4
So Then this would be false because the left hand and right hand sides are different

please answer this quickly​

Answers

Answer:

C

Step-by-step explanation:

she adds to her collection 6 +4 = 10. then triples that

Answer:

well by using pemdas you would solve whats in the parenthisis  so 6+4 = 10 x 3 = 30

YOUR ANSWER IS 30

A rectangular tank has length 4m, width 12m and height 3.5..i. If the tank is filled with water 2/3 of its capacity ,calculate the volume of the water in the tank.​

Answers

Answer:

The volume of the water in the tank is 112 m³

Step-by-step explanation:

The volume of the rectangular prism V = L × W × H, where

L is its lengthW is its widthH is its height

∵ A rectangular tank has a length of 4 m, a width of 12 m, and

   a height of 3.5 m

∴ L = 4 m

∴ W = 12 m

∴ H = 3.5 m

V = L × W × H

∴ The volume of the tank = 4 × 12 × 3.5

The volume of the tank = 168 m³

∵ The tank is filled with water  [tex]\frac{2}{3}[/tex] of its capacity

→ That means the volume of the water is  [tex]\frac{2}{3}[/tex]  the volume of the tank

∵ The volume of the water = [tex]\frac{2}{3}[/tex] the volume of the tank

∴ The volume of the water =  [tex]\frac{2}{3}[/tex] × 168

∴ The volume of the water = 112 m³

The volume of the water in the tank is 112 m³

3 divided by 1/? = 18

Answers

Answer: ? = 6

Step-by-step explanation:

3 divided by 1/x = 18

3x= 18

x = 6

Answer:

3 divided by 1 equals 3

How :

We can write 3 divided by 1 as a ratio, fraction, or equation. Let's try writing this statement in all these ways

3:1

3/1

3÷1

The easiest way for me to solve this question is as a fraction so let's solve it like that. If the denominator is a 1, we immediately know that the answer is the numerator and that you don't need the denominator. so we can take away the 1 from 3/1 and that is how our answer is 3!

Hope this Helps!!! :)

Let me know in the comments if the answer was perfect or if I should change anything!!! :)

which is equvilent to 8/9
A 8 divided by 1/9
B 8 divided by 9
C 9divided by 1/8
D 9 divided by 8

Answers

b, 8 would be divided by 9

Answer:

It's B, I think.

Step-by-step explanation:

Four less than twice a number is 16

Answers

Answer:

woah lol

Step-by-step explanation:

I can't tell if this is a question or not

Olivia ate 1/6 of the pepperoni pizza and 1/3 of the vegetarian pizza and 1/6 of the cheese pizza how much of the pizza she eat

Answers

she ate 4/6 or 2/3 of the pizza

Answer: She ate 4/6 of the pizza.

I am being timed. Hurry please but take your time.
An unknown fractors is between 0 and 1. Which is true about the equivalent percent and decimal?
A. O The percent and decimal are betwern 0 and 1.
B. O The percent and decimal are greater than 1 and less than 100.
C. O The percent is between 0 and 1, and the decimal is greater than 0 and less than 100.
D. O The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.

Answers

Answer: D. The percent is greater than 0 and less than 100, and the decimal is between 0 and 1.

PLEASE HELP WILL GIVE BRAINLIEST IM TAKING TEST RN


A. 7x + y = 13

B. x−7y=13

C. 7x−y=−13

D. x + 7y = 13

Answers

Answer:

I'm not 100% sure however I believe it would be x + 7x

Step-by-step explanation:

You start with what u have and then every week u get $7 each week. So I think this would be the best option however if it isnt right then I'm very sorry.

Hope this helps!

-⅘ + ⅗
I really need help on this

Answers

Answer:

The answer is -1/5

Step-by-step explanation:

The answer is -1/5 because -4/5 plus 3/5 is in decimal form -0.2 but in fraction form it is -1/5

Name all the segments that is parallel to the given segment.

Answers

Answer and Step-by-step explanation:

AB is parallel to FE

CA is parallel to EG

CB is parallel to FG

#teamtrees #WAP (Water And Plant)

1 is FE
2 is FG
3 is AG
4 is EG
5 is FC
6 is CE

0.3d-1/3 1/3=.84:7/15

Answers

Answer:

[tex]d=\frac{147}{6.3}[/tex]

Step-by-step explanation:

The right side is a ratio [tex]0.84:\frac{7}{15}[/tex] a ratio can be written as a fraction [tex]\frac{0.84}{\frac{7}{15} }[/tex] this means [tex]0.84[/tex] divide by [tex]\frac{7}{15}[/tex] which is the same as [tex]0.84*\frac{15}{7}=\frac{12.6}{7}[/tex] On the left, change the mixed fraction [tex]3\frac{1}{3}[/tex] to the improper fraction [tex]\frac{10}{3}[/tex] Then divide [tex]0.3d-1[/tex] by [tex]\frac{10}{3}[/tex] which is same as [tex](0.3d-1)*\frac{3}{10} =\frac{3(0.3d-1)}{10}[/tex] So the equation is now [tex]\frac{3(0.3d-1)}{10}=\frac{12.6}{7}[/tex] Now multiply both sides by 10 and 7:[tex](10)*(7)*\frac{3(0.3d-1)}{10}=\frac{12.6}{7}*(7)*(10)\\7*3(0.3d-1)=12.6*(10)\\21*(0.3d-1)=126\\6.3d-21=126\\6.3d-21+(21)=126+(21)\\6.3d=147\\d=\frac{147}{6.3}[/tex]

Answer:

d=147/6.3

Step-by-step explanation:

d = 147 / 6.3

Reduce the Fraction: a(x-2y)/b(2y-x)

Answers

Answer:

[tex]\displaystyle-\frac{a}{b}[/tex]

Step-by-step explanation:

We have:

[tex]\displaystyle{\frac{a(x-2y)}{b(2y-x)}[/tex]

In the denominator, we can factor out a negative 1. This yields:

[tex]=\displaystyle\frac{a(x-2y)}{-b(x-2y)}[/tex]

We can now cancel out the factor. Hence:

[tex]\displaystyle=-\frac{a}{b}[/tex]

Helpppppppp??????????????

Answers

Answer:

30

Step-by-step explanation:

a and b both equal 30

4. A food delivery service charges a $100 membership fee to join, and also charges $5 for each delivery. Find the linear equation that models the cost based on number of deliveries. At the total cost of $200, how many deliveries will have been made?

Answers

Answer:

200-100=5(x)

Step-by-step explanation:

If the total cost is 200 dollars and we spent 100 on the fee, we have 100 dolars for deliveries.

If each delivery is 5 dollars, then the amount of money spent on deliveries is x(unknown) dollars then we have 200 - 100 = 5 x   <--unknown

                                     total money^        ^fee   ^each deliv

jackson hikes 220.2 meters up a mountain, if he is 60% of the way up, how tall is the mountain?

Answers

Answer:

132.12

Step-by-step explanation:

Which of the following expressions is equal to 5 - 2(x + 2)?
0 -2x+1
O 3x+6
0 -2x+2
O 3x+2

Answers

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{ - 2x + 1}}}}[/tex]

Question :Which of the following expressions is equal to 5 - 2 ( x + 2 ) ?

Available options :- 2x + 1 ✔ 3x + 6- 2x + 23x + 2

✎ Step - by - step explanation[tex] \bold{ \text{5 - 2(x + 2)}}[/tex]

Distribute 2 through the parentheses

[tex] \dashrightarrow{ \sf{5 - 2x - 4}}[/tex]

Now , subtract 4 from 5

[tex] \dashrightarrow{ \boxed{\sf{ - 2x + 1}}}[/tex]

Therefore , Option A is the best choice.

Hope I helped!

Have a wonderful time! ツ

~TheAnimeGirl

What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 +0.50) ?

Answers

Answer:

1.86

Step-by-step explanation:

Answer:

x= 1.86666666667

Step-by-step explanation:

If T (n) = 4n-1 what is the 3rd term

Answers

Put n=3,
4(3)-1=11
Hence 11 is the 3rd term

Chloe plz give answer :( ​

Answers

Answer:

im lost, hat's ur question?

Step-by-step explanation:

Answer:

:(

Step-by-step explanation:

Evaluate the expression |2x – 5| for x = –3 and for x = 3.
A) 
11, 1

B) 
3, 13

C) 
13, 3

D) 
1, 11

Answers

Answer:

Option A: 11,1 is the correct answer.

Step-by-step explanation:

The absolute value is used in the given expressions.

The absolute value represents the values of a number or variable irrespective of its sign. This means that |x| = x and |-x| = 0

Given expression is:

[tex]|2x-5|[/tex]

Putting x=3

[tex]|2(-3)-5| \\= |-6-5|\\= |-11|\\=11[/tex]

Putting x=-3

[tex]|2(3)-5| \\= |6-5|\\= |1|\\=1[/tex]

Hence,

Option A: 11,1 is the correct answer.

please help me asap​

Answers

1. D 12 2/7
2. 22 7/9 which is B hope this helps

6 2/7 divided by 2 3/4

Answers

Turn them into improper fractions
44/2 divided by 11/4
Divide = multiply reciprocal
44/2 * 4/11 = 176/22 = 8
The answer is 8

Answer:

16/7

Step-by-step explanation:

6 2/7 / 2 3/4

44/7 / 11/4

44x4/7x11

16/7

Can someone please help, ty!!
(Will mark brainliest)

Answers

Answer:

The answer is 220

Step-by-step explanation:

Let me know if you need an explanation!

Wich calculation will ALWAYS have a result greater than 1​

Answers

Step-by-step explanation:

number less than 1 B.4/9+ a fraction less than 12 C. 1 3/4 - a fraction less than 3/4 D.7/8 a number less than 1

joseph is shopping for school supplies he can buy a box of 24 pens for $4.32 or a box of 36 pens for $5.76 which is a better buy?

Answers

Answer:

my name is joseph

Step-by-step explanation:

Answer: 36 pens for 5.76
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