2x^2+2=3x help i need a full eplaination

Answers

Answer 1

Answer:

3 ± i sqrt( 7)

-------------------------------

      4

Step-by-step explanation:

2x^2+2=3x

Subtract 3x from each side

2x^2 -3x+2=0

Using the quadratic formula

-b ± sqrt( b^2 -4ac)

-------------------------------

      2a

a =2  b = -3   c =2

-(-3) ± sqrt( (-3)^2 -4*2*2)

-------------------------------

      2*2

3 ± sqrt( 9 - 16)

-------------------------------

      4

3 ± sqrt( -7)

-------------------------------

      4

sqrt(-7) = sqrt(-1) sqrt(7) = i sqrt(7)

3 ± i sqrt( 7)

-------------------------------

      4


Related Questions

A construction crew has just finished building a road. The crew worked for 8 days. If they built 3 5/6 kilometers of road each day, what is the total length of road they built?

Answers

Answer:

30 2/3 km

Step-by-step explanation:

Construction speed

3 5/6 km/day

Time

8 days

Road length

8 * 3 5/6 =8 * 23/6 =92/3 = 30 2/3 km

We are going to need to multiply to find the total length of road they built.

3 5/6 * 8

23/6 * 8/1

184/6

30.66.. or 30 2/3

Therefore, they built 30 2/3km of road.

Best of Luck!

1.
If I have £400 and I give 15% of the total to charity, how much does the charity
receive?​

Answers

£400-15% is your equation you use, but I will use the equation of part/whole =percent/100, where a is the variable for the part, w is the variable for the whole (£400) and p is the percent that we are trying to find or use (15%):
a/400 = 15/100; multiply: 400•15= 6000; then divide: 6000/100=60
So we now know that the answer to your problem is that the Charity receives £60

Write the equation that can be used to solve for x.

Answers

7x + 7 + 4y = 112

-7 from both sides

The answer is 112 I think:)

PLEASE help if you can do both or just one I really need help

Answers

Answer:

the second one is 1  7/8 or  15/8 the first one is 3

Step-by-step explanation:

If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?
7,040 yards
15,840 yards
21,120 yards
63,360 yards
Help me pleasee!!!

Answers

Answer:

Your answer is A 7,040 yards.

Step-by-step explanation:

Out of the 20 students in Mrs. Green's class, 16 have a pet. What percent of the students in Mrs. Green's dass have a pet? The percent of students in Ms. Green's class that have a petis%.​

Answers

Answer:

80%

Step-by-step explanation:

Step 1:

16 : 20       Ratio

Step 2:

16/20      Convert to a fraction

Step 3:

4/5 × 20    Simpify  and Multiply

Answer:

80%     Convert to percentage

Hope This Helps :)

Compute the discriminant, d = b2 - 4ac, of the quadratic equation 2x2 + 3x + 4 = 0.
O d= 72
Od=9
d = 4
long
O d=-23

Answers

Answer:

b

Step-by-step explanation:

B I just know I did it before

65333445+76567*656667+9998088-98765666*765-876533=
answer asap plz giving brainliest

Answers

Answer:

-25202257301

hope this helped

Step-by-step explanation:

A 3-column table with 3 rows. Column 1 is labeled Fraction with entries a, StartFraction 1 over 9 EndFraction, five-thirds. Column 2 is labeled Decimal with entries 1.2, b, 1.ModifyingAbove 6 with bar. Column 3 is labeled Percent with entries 120 percent, 11 and StartFraction 1 over 9 EndFraction percent, c.
Identify the values of the variables that complete the table to show the equivalent fractions, decimals, and percents.

a =
b =
c =

Answers

Answer:

A-10%

B-25/100

C-1/2

Step-by-step explanation:

i did it and got it right, hope this helps :D

Choose the number sentence that illustrates the distributive property of multiplication over addition.
O A. 8(7 + 3) = (8 + 7)(8 + 3)
OB. 8* (7 + 3) = (8 x 7) + 3
OC. 8x (7 + 3) = (8 x 7) + (8 x 3)

Answers

C

In distributive property, the first value will have to be multiplied by each number in the parentheses separately.

Answer:

C

Step-by-step explanation:

The answer is c

What are the x intercepts of the graph of the function below y = x2 - 3x - 28 .

Answers

The x-intercepts of the graph of the function [tex]y = x^2 - 3x - 28[/tex] are x = 7 and x = -4.

To find the x-intercepts of the graph of the function y = [tex]x^2 - 3x - 28[/tex], we need to set y equal to zero and solve for x. The x-intercepts occur when y is equal to zero.

Setting y = 0, we have the equation:

[tex]0 = x^2 - 3x - 28[/tex]

To solve this quadratic equation, we can factor it or use the quadratic formula. Let's use the quadratic formula in this case.

The quadratic formula states that for an equation of the form [tex]ax^2[/tex] + bx + c = 0, the solutions for x can be found using the formula:

x = [tex]ax^2[/tex]

For our equation [tex]0 = x^2 - 3x - 28[/tex], we have a = 1, b = -3, and c = -28. Plugging these values into the quadratic formula, we get:

x =[tex](-(-3) ± √((-3)^2 - 4(1)(-28))) / (2(1))[/tex]

Simplifying further, we have:

x = (3 ± √(9 + 112)) / 2

x = (3 ± √121) / 2

x = (3 ± 11) / 2

This gives us two possible solutions for x:

x1 = (3 + 11) / 2 = 14 / 2 = 7

x2 = (3 - 11) / 2 = -8 / 2 = -4

Therefore, the x-intercepts of the graph of the function y = [tex]x^2 - 3x - 28[/tex]are x = 7 and x = -4.

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Expand and simplify the expression: 4u - 3 ( 2u - 5v) *​

Answers

Answer: -2u + 15v

Step-by-step explanation:

Hey there!

Step 1: Expand by distributing terms.

4u - (6u - 15v)

Step 2: Remove parentheses.

4u - 6u + 15v

Step 3: Collect like terms.

(4u - 6v) + 15v

Step 4: Simplify.

-2u + 15v

~I hope I helped you! :)~

Answer:

Expanded: 4u-6u+15v Simplified: -2u+15v

Step-by-step explanation:

To expand, distribute the negative three to the terms in the parentheses by multiplying. Because a negative times a negative is a positive, it becomes plus 15v. To simplify, simply add like terms (the u variables).

Laura and Martin obtain a 20-year, $90,000 conventional mortgage at 10.5% on a house selling for $110,000. Their monthly mortgage payment including principal and interest, is $898.20.

a) Determine the total amount they will pay for their house b) How much of the cost will be interest? c) How much of the first payment on the mortgage is applied to the principal?

I'm going somewhere wrong on A, I cant seem to figure out the downpayment. I calculated 215568 but now I need to add the downpayment to it. HELP MARKING BRAINLIEST!​

Answers

Answer:

$235568$125568

Step-by-step explanation:

Given

Time = 20 years = 240 monthsMortgage amount = $90000Selling price = $110000Monthly payment = $898.20

a) total amount

110000 - 90000 + 240*898.20 = 20000 + 215568 =$235568

b) Interest cost

$235568 - $110000 =$125568


Which transformation carries the pentagon onto its
O a reflection across the x-axis
O a reflection across the y-axis
O a reflection across the line x=1
O a reflection across the line y =1

Answers

C it’s I think lol!!!!!^^*

7.75 times ( -1 2/3)

Answers

Answer:

-12.9166666666667

Step-by-step explanation:

(The 6 is repeating do not add the 7)

Carly said that 0.8÷10=0.04. Is she correct? Explain how you know.

To divide 0.8÷20 she needs to annex a ___ in the ___place. So, the quotient is ____, and carly is ___.

Answers

Answer:

To divide 0.8 divided by 20 she needs to annex a 0 in the hundredths place. So, the quotient is 0.04, and Carly is correct

To divide 0.8 divided by 20 she needs to annex a 0 in the hundredth place. So, the quotient is 0.04, and Carly is correct

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

After the division has been done, the quotient is obtained. This signifies that the quotient is the result of dividing a dividend by a divisor.

It is given that,

0.8÷10=0.04

Because she has to annex zero in the hundredth place in order to divide 0.8 divided by 20. The quotient is thus 0.04

Thus, to divide 0.8 divided by 20 she needs to annex a 0 in the hundredth place. So, the quotient is 0.04, and Carly is correct

Carly is correct 0.8÷10=0.04

Learn more about the ratio here:

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Find a solution to the following system of linear equations by using either 1 point
substitution or elimination:
y = 4x + 8
2x + 5y = 4

Answers

(1.636, 14.545) simply plug in the y=4x+8 into the second equation and then solve

Pls help!
Whoever answers in a few minutes with a clear answer will be marked brainiest!!!

Use exponent laws to write each expression with a positive power

Answers

Answer:

a. [tex]\tt \frac{1}{9}[/tex]

b. [tex]\frac{1}{16}[/tex]

c. 4

Step-by-step explanation:

[tex]\tt a. \:3^{-2}[/tex]

We can use the negative exponent rule, which states that [tex]\boxed{\tt a^{-n} = \frac{1}{a^n}}[/tex] So, we have:

[tex]\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}[/tex]

[tex]\hrulefill[/tex]

[tex]\tt b.\: -2^{-4}[/tex]

We can use the rule that [tex]\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.[/tex] So, we have:

[tex]\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}[/tex]

[tex]\hrulefill[/tex]

[tex]\tt c. \:(\frac{1}{2})^{-2}[/tex]

We can use the negative exponent rule, which states that [tex]\boxed{\tt a^{-n} = \frac{1}{a^n}}[/tex]. So, we have:

[tex]\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4[/tex]

Answer:

Step-by-step explanation:

(a) 3^-2 = 1/9

(b) (-2)^-4 = 1/(-2)^4 = 1/16

(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4

what is the 7th term in the series? 15,35,55

Answers

5 is the answer just because counting the comas

the mayor has 0.64 GB of space remaining on his iPad. he wants to download a a app that is 0.24 GB a photo app 0.403 in a math app GB which components of apps can he download explain your thinking.​

Answers

i'd need a Step-by-step explanation:

| |x-4|-2|<3 I need help with this absolute value

Answers

Answer:

  -1 < x < 9

Step-by-step explanation:

Eliminate the outer absolute value symbol.

  -3 < |x -4| -2 < 3

Add 2

  -1 < |x -4| < 5

We know that no absolute value can be negative, so this is fully equivalent to ...

  |x -4| < 5

Eliminate the absolute value symbol.

  -5 < x -4 < 5

Add 4

  -1 < x < 9

___

For the graph, we graph the inequality ...

  ||x -4| -2| -3 < 0

The zero crossings are easy to find in this graphing calculator.

A student is running a 3-kilometer race. He runs 1 kilometer every 2 minutes. Select the function that describes his distance from the finish line after x minutes. (1 point)
f(x) = − 1/3 x + 2
f(x) = − 1/2 x + 3
f(x) = 1/2 x + 3
f(x) = 1/3 x + 2

Answers

Answer:

-1/2 x + 3

bases on this guy's answer I believe the answer is -1/2 x + 3

Running at a constant rate, 6 machines can produce 100 boxes of chewing gums in 8 hours . How many more minutes is required to complete the same job with 5 such machines ?

Answers

Answer:

96 more minutes are required to complete the same job with 5 such machines

Step-by-step explanation:

Proportions

We know 6 machines produce 100 boxes of chewing gum in 8 hours. For convenience, we'll work in minutes instead of hours.

The time needed for the 6 machines to complete the job is 8*60=480 minutes.

Considering proportions, if 6 machines complete the job in 480 minutes, then ONE machine would need 6*480 = 2880 minutes.

Now consider 5 such machines working. The time needed would reduce by a factor of 5: 2880/5=576 minutes

Now we know 5 machines would take 576 minutes. That is a difference of 576 - 480 = 96 minutes. Thus,

96 more minutes are required to complete the same job with 5 such machines

Tina painted 1/2 of a bedroom in 3/4 a day. How many days will it take dor Tina to paint one bedroom ​

Answers

Answer: 1 1/2 days because 3/4+3/4 is 1 1/2

Step-by-step explanation:

I did the math can I get brainliest

The number of days taken by Tina to paint the complete room is 3/2 day.

Given that, Tina painted 1/2 of a bedroom in 3/4 a day.

What are proportion?

A proportion is an equation in which two ratios are set equal to each other.

Let the number of days taken by Tina to paint one complete bedroom.

Then, the proportion is 1/2 : 3/4 :: 1 : x

⇒ x/2=3/4

⇒ 4x=6

⇒ x=6/4

⇒ x=3/2

Therefore, the number of days taken by Tina to paint the complete room is 3/2 day.

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-1.5(4x+1) >_ 4.5-2.5(x+1)

Answers

Answer:

x< 11/7

Step-by-step explanation:

I’m being timed i need to evaluate

Answers

2

3(5+1) ÷ 3² = 3(6) ÷ 3²

= 18 ÷ 3² = 18 ÷ 9 = 2

!!Square root related
2 times square root 108 minus 3 times square root 12

Answers

Answer:

Step-by-step explanation:

12

108

 

Simplify each term.

2

3

6

3

Subtract  

6

3

from  

2

3

.

4

3

The result can be shown in multiple forms.

Exact Form:

4

3

Decimal Form:

6.92820323

You are a part of a sports team that has at least 7 players but no more than 10 on a team. Your jerseys for the team cost $35 each and can be represented by the function f(x)=35xwhere x is the number of players. What is the range of this scenario?
need help writing out the equation using the numbers<3

Answers

Answer:

Range is $105

Step-by-step explanation:

10*35=350

7*25=245

350-245=105

If you can respond with a graph.

Answers

The graph of the system of equations is in the image at the end, the solutions are:

(-0.85, -1.85)

(5.85, 4.85)

how to solve the system of equations?

Here we have the system of equations:

y = x - 1

y = (1/3)*(x + 2)*(x - 4)

To solve it graphically, just graph both equations in the same coordinate axis and find the points where the graphs intercept.

In the image at the end you can see where the graphs intercept.

There we can see that the two solutions are:

(-0.85, -1.85)

(5.85, 4.85)

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Aaaaaaaaaaaaaaqqqqqqaaaaaaaaa help

Answers

Answer:

0.05?

Step-by-step explanation:

0.2 are taken by oarents

3/4 = 0.75 were taken by parents

0.20 + 0.75 = 0.95

1.00 - 0.95 = 0.05

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