What are the values of a, b, and c in the quadratic equation –2x^2 + 4x – 3 = 0?

Answer:

4.

[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]

Step-by-step explanation:

[tex]18x^2-24x+87=0[/tex]

Using Quadratic Formula

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

[tex]$x=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:18\cdot \:87}}{2\cdot \:18}$[/tex]

Solving the discriminant:

[tex]\Delta = \left(-24\right)^2-4\cdot \:18\cdot \:87\\\Delta = 576-6264\\ \Delta=-5688[/tex]

[tex]$x= \frac{24 \pm \sqrt{-5688} }{36} $[/tex]

[tex]$x= \frac{24 \pm \sqrt{5688i} }{36} $[/tex]

Once [tex]\sqrt{5688} =\sqrt{2^3\cdot \:3^2\cdot \:79}=6\sqrt{158}[/tex]

[tex]$x=\frac{24\pm6\sqrt{158}i}{36}$[/tex]

Dividing the denominator and numerator by 6

[tex]$x=\frac{4\pm \sqrt{158}i}{6}$[/tex]

Now rewrite it:

[tex]$x=\frac{4}{6} \pm i\frac{\sqrt{158}}{6}$[/tex]

[tex]$x=\frac{2}{3} \pm i \frac{\sqrt{158}}{6}$[/tex]

or

[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]

Answer:

A

Step-by-step explanation:

(-4-3, 7+7)

(-7, 14)

Answer: A

Step-by-step explanation:

Answer:

The angle of ∠ABE is 40°.

Step-by-step explanation:

Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.

Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.

please mark me brainliest :)

Answer:

yes

Step-by-step explanation:

Substitute the points into the equation

y =x

3=3

This is true so (3,3) is a solution

Answer:

-12x+12y

Step-by-step explanation:

[tex]-\dfrac{3}{5}(20x-20y)=\\\\-\dfrac{3}{5}(20x)+-\dfrac{3}{5}(-20y)=\\\\-12x+12y[/tex]

Hope this helps!

Answer:

[tex]-12x+12y[/tex]

Step-by-step explanation:

We have the following expression:

[tex]-\frac{3}{5} (20x-20y)[/tex]

TO remove the parenthesis, we need to multiply each term within them by each term on the outside of the parenthesis. Then, we can simplify our answer..

[tex](-\frac{3}{5} )(20x)-(-\frac{3}{5} )(20y)\\\\-12x+12y[/tex]

Answer:

C

Step-by-step explanation:

The angles are supplementary because all the angles add up to 180 and they form a straight line together.

Answer:

no

Step-by-step explanation:

y = –5x + 4

Substitute the point into the equation

0 = -5(4) +4

0 = -20+4

0 = -16

This is not true so it is not a solution to the equation

Answer:

Answer = decrease of 22 m/min

Answer:

The measurements of the two angles are 67.5° and 112.5°

Step-by-step explanation:

We can set up the equation just like a normal equation when you are finding x. Once we know what x is, then we can use that number and multiply it to 3 and 5 to find the measurements of the angles.

3x + 5x = 180

Combine like terms.

8x = 180

Divide 180 by 8.

x = 22.5

Now, we plug in x to 3 and 5.

3 * 22.5 = 67.5

5 * 22.5 = 112.5

Just to make sure our work is correct, let's add these numbers together.

67.5 + 112.5 = 180

The measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.

When the sum of the two angle are equal to the 180 degrees, then these angles are called the supplementary angle of each other.

The ratio of the measurement of an angle to its supplement is 3:5. Let, the ratio,

[tex]\dfrac{3}{5}=x[/tex]

As, these angles are supplementary to each other. Thus,

[tex]3x+5x=180\\8x=180\\\x=\dfrac{180}{8}\\x=22.5[/tex]

Thus, the measurement of the angle is,

[tex]3x=3\times22.5\\3x=67.5[/tex]

The measurement of the supplement of the angle is,

[tex]5x=5\times22.5\\5x=112.5^o[/tex]

Hence, the measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.

Learn more about the supplementary angle here;

https://brainly.com/question/12919120

Answer:

x e [-10,-4]

Step-by-step explanation:

||x-5|+2|≤3

|x+5+2|≤3

|x+7|≤3

x+7≤3

x≤-4

x+7≥-3

x≥-10

x e [-10,-4]

Answer:

x = -32/3

y =28/3

Step-by-step explanation:

2x + 4y = 16

-5x-4y = 16

Add the equations

2x + 4y = 16

-5x-4y = 16

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

-3x = 32

Divide each side by -3

x = -32/3

Now solve for y

2x+4y = 16

2(-32/3) +4y = 16

-64/3 +4y = 16

Multiply each side by 3 to get rid of the fractions

-64 +3*4y = 16*3

-64 + 12y = 48

Add 64 to each side

12y = 112

Divide by 12

12y/12 = 112/12

y =28/3

Answer:

317 IS THE ANSWER

Step-by-step explanation:

The right answer is 317

please see the attached picture for full solution.

hope it helps

good luck on your assignment

Answer:

I believe the answer will be 36 for the dog legs.

Step-by-step explanation:

first you get a calculator

then you type in 18 divided by 50

then you hit enter

then the answer will come up as 0.36

Answer:

w = - 5, w = - 3

Step-by-step explanation:

Given

w² + 8w + 15 = 0

Consider the factors of the constant term (+ 15) which sum to give the coefficient of the w- term (+ 8)

The factors are + 5 and + 3 , since

5 × 3 = 15 and 5 + 3 = 8 , thus

(w + 5)(w + 3) = 0 ← in factored form

Equate each factor to zero and solve for w

w + 5 = 0 ⇒ w = - 5

w + 3 = 0 ⇒ w = - 3

Answer: 0.83

Step-by-step explanation:

The fraction of Teddy's cousins what can do push-ups is [tex]\frac{5}{6}[/tex]. We get this fraction because the problem states that 5 of Teddy's 6 cousins can do 15 push-ups. Now that we have our fraction, we divide to get our decimal.

[tex]\frac{5}{6} =0.83[/tex]

Answer:

0.83 with the 3 as the repeating number (3 with the line over it)

Step-by-step explanation:

5 divided by 6

Answer:

fourth option

Step-by-step explanation:

Using the sine ratio in the right triangle.

sin JKL = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JL}{KJ}[/tex] = [tex]\frac{8.9}{10.9}[/tex] , thus

x = [tex]sin^{-1}[/tex] ([tex]\frac{8.9}{10.9}[/tex] )

Answer:

D. [tex]sin^{-1} (\frac{8.9}{10.9} ) = x[/tex]

Step-by-step explanation:

Sin is used to find the side length of a right triangle using angle degrees. However, this is using the inverse. The ratios are still the same, though.

sin(x) = 8.9/10.9 because it is the opposite side's length over the hypotenuse length. Making it the inverse would make it D.

Answer:

105 cars

Step-by-step explanation:

150cars=100%

and if 30% of the cars are sedans then the cars which are not sedans is

100%-30% =70%

if 150 cars=100%

? cars=70%

if less more devides

70%/100%×150cars

all zeros cancel which would be left with

7× 15

105 cars.

Answer:

The answer is 105

So that 30% of those cars are 45 Sedans of the 150 cars.

Now we need to find out how many cars are in that remaining 70%

In order to do this we need to subtract 45 from 150

So 150 minus 45 is 105

Finally, we know that that remaining 70% is 105 cars that aren't Sedans.

So 105 cars are not Sedans.

Answer:

84

Step-by-step explanation:

We can represent the money Emily has as x, and the money Juan as j.

x  = j + 19

Substituting 65 for j we get

x = 65 + 19

x = 84

Answer:

x = 8

Step-by-step explanation:

Add [tex]\frac{1}{3}x[/tex] to both sides.

x + 1 = 9

Subtract one on both sides.

x = 8

Answer:

x = 8

Step-by-step explanation:

2/3x + 1 = -1/3x + 9

x + 1 = 9

x = 8

Answer:

The answer is "Option D".

Step-by-step explanation:

A line is a horizontal 1D-dimensional representation without any thickness and extends in every way. It sometimes is also known as the straight line. The line, which connects two planes lies simultaneously on both planes, that's why in this question only "option D" is correct.

Answer:

D>

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

It’s actually C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Maya=10

Sam=3

Josh=12

Hope this helps.

: )

Answer:

im still alli

Step-by-step explanation:

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

Example: (View attached image below). Table A is a function because each x value has only 1 y value. But Table B is not a function because the x value of 4 has 2 y values.

Answer:

D No, because on x values corresponds to two different y values

Step-by-step explanation:

This is not a function because an input has two different outputs

x=5 has two different y values

Answer:

a. 2/5 and 2:3

b.  

c. 6

d. 40% and 60%

Step-by-step explanation:

a) The ratio of lemon juice to water as a fraction can be expressed as: 2/3.

b) The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice,  is: 2.25 cups

c) The amount of lemon juice Sarah should add to 9 cups of water is: 6 Cups

d) 40% of the lemonade is lemon juice, and 60% is water.

e) She should increase the ratio to 3:2

f) Yes, Sarah would need more lemon juice than water to make the lemonade stronger.

a. The ratio of lemon juice to water as a fraction can be expressed as: 2/3.

b. The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice,  is solved as:

1¹/₂ cups of lemon / water = 2/3

³/₂ cups of lemon / water = 2/3

Cross multiply to get:

water = 9/4

water = 2.25 cups

c. The amount of lemon juice Sarah should add to 9 cups of water is as follows:

lemon juice / 9 = 2/3

Cross multiply to get:

lemon juice = 18 / 3

lemon juice = 6 cups

d. The percentage of lemon juice and water in the lemonade if the total volume is 5 cups is:

Lemon juice: (2/5) * 100% = 40%

Water: (3/5) * 100% = 60%

e. What Sarah can do is to increase the ratio of lemon juice to water. One possible ratio could be 3 parts lemon juice to 2 parts water, or 3:2.

f. Yes, Sarah would need more lemon juice than water to make the lemonade stronger.

Read more about Ratio Problems at: https://brainly.com/question/12024093

#SPJ1

Answer:

a=1 b=3 c=-4

Step-by-step explanation:

using almighty formular

a=1 b=3 c= - 4

Answer:

A

Step-by-step explanation:

The two angles given are vertical angles because they are opposite of each other

Hey!!

<a and <b are vertically opposite angles.

Vertically opposite angles are always equal.

Hope it helps..

Good luck on your assignment