What is the discriminant of the quadratic equation, 4x^2-8x-5=0​

Answers

Answer 1

Answer:

Step-by-step explanation:

4x^2-8x-5=0

The discriminant is the number under the √. In this case it's 144

Answer 2

Answer:

[tex]\Delta=144[/tex]

Step-by-step explanation:

For a quadratic in standard form, the discriminant is given by:

[tex]\Delta=b^2-4ac[/tex]

We have the equation:

[tex]4x^2-8x-5=0[/tex]

Hence, our a=4; b=-8; and c=-5.

Substituting into our formula, we acquire:

[tex]\Delta=(-8)^2-4(4)(-5)[/tex]

Evaluate:

[tex]\Delta=64+80[/tex]

Add:

[tex]\Delta=144[/tex]

Therefore, our discriminant is 144.

Notes:

Since our discriminant is a positive value, this tells us that our quadratic has two real roots.


Related Questions

The temperature one cold morning is -5 °C. By noon, the temperature had increased by 3 degrees and at 4 PM the temperature was zero. The increase from noon to 4 PM was

Answers

Answer:

2°C

Step-by-step explanation:

Morning

-5°C

Noon (+3)

-2°C

4pm (+?)

0°C

Equation I used:

(-5) + (3) + x = 0

I'm assuming you're being taught how to work with negative intervals in algebra? Don't worry, that's why you're practising with temperature. Instead of asking online, try using the progress your teacher taught you. If you have notes, look back at them. Practise makes perfect :)

The height of a widescreen television varies directly with its width. A television that is 60 cm wide and 33.75 cm high. Write and solve a direct variation equation to find the height of a television screen that is 90 cm wide.

Answers

90 in + 60 in= 130 square inches? I guess you can do that

Have a good day

What is the order fractions least to greatest 3/5 1/4 1/2 2/5

Answers

Answer:

1/4, 2/5, 1/2, 3/5

Step-by-step explanation:

1/4=0.25

3/5=0.6

2/5=0.4

1/2=0.5

Answer:

[least]  1/4, 2/5 , 1/2, 3/5 [greatest]

Step-by-step explanation:

Well lets find out LCD (least common denominator) for 4,5 and 2

LCD-20

12/20 =used to be 3/5

5/20=used to be 1/4

10/20=used to be 1/2

8/20=used to be 2/5

Now that you know all of them and have common denominator lets order!!

[least]  1/4, 2/5 , 1/2, 3/5 [greatest]

Hope this helps :3

Determine whether the given equation has one solution, no solution, or infinitely many solutions.

2 - 3(x + 4) = 3(3 - x)

cannot be determined
one solution
no solution
infinitely many solutions

Answers

Answer:

one solution is your answer to the question

Answer:

Perform the indicated multiplication: 2 - 3x - 12 = 9 - 3x

Gather all the x terms on one side and all the constants on the other:

-3x + 3x = 9 + 12 - 2, or 0 = 19

since this is never true, 2 - 3x - 12 = 9 - 3x has no solution.

how do i find my sister's math question she just posted how do i find it

Answers

Answer:

You can find it on her profile, in the questions section.

Step-by-step explanation:

Tap her profile picture, which will take you to her profile.

Tap the questions bar, which should lead you to all questions she has posted.

Lastly, tap the question you want! It should show you the date or time it was posted.

A brainiest is this doggo's bone!

PLEASEEEE 10 points

Answers

Answer

7?

Step-by-step explanation:

I WILL MAKE YOU BRAINIELIST.
what is 37829192976277×2283838328282

Answers

Answer:

8.6395761e+25

Step-by-step explanation:

no

A science teacher ordered S2278 worth of microscopes and dissection kits for the new science lab. A total of
26 microscopes and 56 dissection kits were ordered. A microscope costs three times as much as a dissection
kit. Write a system of linear equations that represents this situation. What is the cost of each item?

Answers

Answer:

[tex]26M + 56D = 2278[/tex] ---- equation 1

[tex]M = 3D[/tex] ---- equation 2

A microscope costs S51 and a dissection kit costs S17

Step-by-step explanation:

Given

Represent microscope with M and Dissection kits with D

Cost:

[tex]M = 3D[/tex]

[tex]Total = 2278[/tex]

Required

Represent as an equation:

To do this, we represent the equation in terms of cost and quantity

In terms of cost, we have:

[tex]26M + 56D = 2278[/tex] ---- equation 1

and

[tex]M = 3D[/tex] ---- equation 2

Substitute 3D for M in equation 1

[tex]26*3D + 56D = 2278[/tex]

[tex]78D + 56D = 2278[/tex]

[tex]134D = 2278[/tex]

Divide both sides by 134

[tex]D = \frac{2278}{134}[/tex]

[tex]D = 17[/tex]

Substitute 17 for D in [tex]M = 3D[/tex]

[tex]M = 3 * 17[/tex]

[tex]M = 51[/tex]

Hence:

A microscope costs S51 and a dissection kit costs S17

The toy rocket is how much inches long?

Answers

Answer:

10.4

Explanation:

If you zoom in closely you can see the toy rocket is at the 4th tick on the ruler, so this would make the toy rocket 10.4 inches long!

Find the length of the unknown side. Round your answer to the nearest whole number. (4 points)

Image of a right triangle with legs labeled 12 meters and 8 meters. Hypotenuse is
unknown.
13 meters
14 meters
200 meters
208 meters

Answers

Answer:

Your anwser is 14 hopw this helpss

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

the answer is 14 i know this because the person before me said the same thing.

help me please i have 2 more after this

Answers

Answer:

poop

Step-by-step explanation:

asdasdasd

Answer:

114

Step-by-step explanation:

corresponding angles

congruent

The price for gasoline is represented by the equation y = 3.69x, where 'y' represents the total price for 'x' gallons of gasoline. On a graph, the number of gallons is represented by the horizontal axis, and the total price is represented on the vertical axis. Determine whether each statement describes the graph of the equation. Select True or False for the following statement. The graph of the lines goes through the points (7.38, 2) and (11.07, 3).

Answers

Answer:true

Step-by-step explanation:

A camera can take 3/4 of a picture per second. How many pictures can it take in 16
seconds?

Answers

Answer:

12

Step-by-step explanation:

It can take 3/4 of a picture per second. So all you have to do is take 3/4 and multiply it by 16.

Can someone please help? I will give Brainliest. ​

Answers

Answer:

Ask your mom and she might tell you

Step-by-step explanation:

Answer:

ye

Step-by-step explanation:

A cookie factory uses 1/6 of a bag of flour in each batch of cookies the factory used 1/2 of a bag of flour yesterday how many batches of cookies did the factory make

Answers

Answer:

they made 3 batchs

Step-by-step explanation:

Mitchell swims several times per week in a lake near his home. Last summer, the average water temperature was 20 degrees Celsius. This summer, the average water temperature was 21 degrees Celsius. What was the percent of increase in the temperature?

Answers

Answer:

5% increase

Step-by-step explanation:

last Summer was 20° , this Summer is 21° so is 1° more so the question is what is the increase 1° of 20

20° is to 100% as

   1° is to ?%

cross multiply

?% *20 =1*100

divide by 20 both sides

?%= 100/20 = 5

Yesterday, grace drove 41.5
miles. she used
1.25 gallons of gasoline.

What is the unit rate for miles per​ gallon?

Answers

Answer:

33.2 mpg

Step-by-step explanation:

r+3y=6 in slope intercept​

Answers

Answer:

Step-by-step explanation:

y = - [tex]\frac{1}{3}[/tex] r + 2

10³ ÷ (25×4) = Please​

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10³ ÷ (25×4)

1000 ÷ 100 = 10

What is the value of (-8)(45)(1/8)

7th grade math

Answers

Answer:

-45

Step-by-step explanation:

1/8=.125

-8x45=-360

-360x.125=-45

Roll a number cube. If the number cube comes up odd, you win the same number of points as the
number on the cube. If the number comes up even, you lose 4 points.
What is the expected number of points per roll?
-0.25
-0.5
0
Oo oo
0.25
0.5

Answers

Answer:

-0.5

Step-by-step explanation:

What is x in 7-onethirdx =11

Answers

Answer:

[tex]\frac{-1}{3} x = 11-7\\\\\frac{-1}{3} x = 4\\\\-1x = 4*3\\-1x = 12\\\\x = -12[/tex]

my bros if 1+1 was to = 3 would 2+2=5?​

Answers

Answer:

No

Step-by-step explanation:

1+1=2 2+2=4

Determine the Domain & Range of the Function
3)
5)
Domain is
from?
Left to
Range is from?
Bottom to TM
Yes
<
Function?
Domain:
Domain:
Range:
Range:

Answers

Answer:

look dude or girl (just incase) I know the answer but since your parents and teachers want the best for you. You need to do it on your own.

Step-by-step explanation:

6th grade math
34/51 = x/3
solve pls

Answers

The answer to this In a fraction form is 2x/9

Please help. Questions in the picture.

Answers

Answer:

Step-by-step explanation:

(2 , 0)  ; (0, 1)

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

          [tex]= \frac{1-0}{0-2}\\\\=\frac{1}{-2}\\\\\\=\frac{-1}{2}[/tex]

m = -1/2 ; (2 , 0)

Equation of the line : y - y1 = m(x - x1)

                                  [tex]y - 0 = \frac{-1}{2}(x-2)\\\\ y = \frac{-1}{2}x - 2*\frac{-1}{2}\\\\\\ y = \frac{-1}{2}x+1[/tex]

slope = (-1/2)

y - intercept = 1

You move right seven units. You end at 2,2. Where did you start?

Answers

Answer:

(2-7,2) = (-5,2)

Step-by-step explanation:

What si the answer of Y = 7x -3 for x

Help

Answers

Answer:

[tex]x=\frac{1}{7}y+\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]y=7x-3[/tex]

[tex]7x-3=y[/tex]

[tex]7x-3+3=y+3[/tex]

[tex]\frac{7x}{7}= \frac{y+3}{7}[/tex]

[tex]x=\frac{1}{4}y+\frac{3}{7}[/tex]

The equation of line CD is y = -2x - 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5).
y = -2x + 13
y=zx+7
y=x+3
y = -2x - 3

Answers

Answer:

y = -2x + 13

Step-by-step explanation:

work out the equation of a line which has a gradient of -2 and passes through the point (1 ,7)​

Answers

Answer:

Y=-2x+9

Step-by-step explanation:

The first thing is to know the formula which is Y÷x

Then... The line (1,7)use the coordinates Y and X so it will be as follows... Label 1 and 7 as x, y

So it will be Y-7÷X-1 = the gradient which is - 2

So multiply both sides by X-1

So it will be Y-7=2x+2 again be careful because a negative number multiplied by another negative will give you a positive sign

Remember Y-7....... Take 7 to the other side so it will be a positive...... Then work out the integers

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