Calculate the discriminant f(x)=x2-4x+7

Answers

Answer 1

Answer:

Option 1,3,4,6 are correct

Explanation

Step-by-step explanation:

we have formula for discriminant that is D=b^{2} -4acD=b

2

−4ac

when D>0 the roots are real and unequal

when D= 0 roots are real and equal

and when D< 0 roots are imaginary or not real and unequal

In 1st equation: x^2+6x+8x

2

+6x+8

a=1,b=6,c=8 on substituting the values in the formula we will get

D=6^2-4(1)(8)=4 > 0D=6

2

−4(1)(8)=4>0 hence real and unequal roots.

In 2nd equation:x^2+4x+8x

2

+4x+8

a=1,b=4,c=8 on substituting values in formula

D=4^2-4(1)(8)=-16 < 0D=4

2

−4(1)(8)=−16<0 so roots are not real

In 3rd equation x^2-12x+3x

2

−12x+3

a=1,b=-12,c=3 on substituting values

D=D=(-12)^2-4(1)(3)=132 > 0D=(−12)

2

−4(1)(3)=132>0 roots are real and unequal

In 4th equation: x^2+4x-1x

2

+4x−1

a=1,b=4,c=-1 on substituting the values

D= 4^2-4(1)(-1)=20 > 0D=4

2

−4(1)(−1)=20>0 real roots

In 5th equation:5x^2+5x+45x

2

+5x+4

a=5,b=5,c=4 on substituting the values

D=5^2-4(5)(4)=-55 < 0D=5

2

−4(5)(4)=−55<0 roots are not real

In 6th Equation: x^2-2x-15x

2

−2x−15

a=1,b=-2,c=-15 on substituting the values

D=(-2)^2-4(1)(-15)=64 > 0D=(−2)

2

−4(1)(−15)=64>0 roots are real


Related Questions

Need help #1-3 please

Answers

Answer:

69 squared

Step-by-step explanation:

Round 38,451 to the nearest..
Ten thousand:
Thousand:
Hundred:
Ren:

Answers

Answer:

Ten Thousand: 40000

Thousand: 38000

Hundred: 38500

Ren: what is ren-?

Step-by-step explanation:

Ten thousand: 40,000

Thousand: 38,000

Hundred: 38,500

Ten: 38,450

When you round you have to look to the number to the right of the number your rounding.

For example, to round 38,451 to the nearest ten thousand you find the ten thousand place (3) and look to the right or it and find that number (8). It the number to the right is 5 or more you round up. If the number is less then 5 it stays the same.

Just try to remember this…

5 or more, raise the score

4 or less let it rest.

8 is greater than 5 so the 3 turns to a 4 and you make everything behind the 4 zeros.

Now let’s try 38,451 rounded to the thousand. Look to the right and see that the number is 4. 4 or less let it rest, so the thousands place (8) stays the same. But don’t forget to make everything behind it zero

Hope this helped!

Could you mark brainliest please?

One way to build stairs is to attach triangular blocks to an angled support, as shown at the right. If the support makes a 32° angle with the floor, what must mâ 1 be so the step will be parallel to the floor? The sides of the angled support are parallel. *

Answers

Answer: m∠1 = 32°
Step-by-step explanation:
Since we have given that
The angled support making angle with the floor = 32°
So, we need to find the measure of angle 1 so that the steps are parallel to the floor.
As we know that "To make parallel to the floor , there should be alternate interior angle which must be equal."
So, m∠1 = 32° ( the angled support making angle with the floor)
Hence, m∠1 = 32°

The theater sells two types of tickets: adult tickets for $14 and child tickets for $8.
Last night, the theater sold a total of 159 tickets for a total of $1794. How many adult tickets did the theater sell last night?

Answers

Answer:

87 Adult tickets were sold

Step-by-step explanation:

This type of question relates to a system of equations. These types of questions are pretty easy to spot and they are just about solved all the same way.

So what we first want to do is see that there is a total of 159 tickets sold. Now obviously that number consists of the adult and children tickets, therefore we need to add those two unknown numbers to get 159, so x will be for adults and y will be for children tickets. this will give us the equation x + y= 159.

Next, we want to associate the amount those tickets are with those variables, because you can only have so many adult tickets and children tickets with the given $1794. So what we need to do is similar, we just have those totals added to get the equation 14x + 8y = 1794.

Now we want to use the process of elimination to find the value of x (because we are solving how many adult tickets were sold). IN order to do elimination, we need to have the equation x + y= 159 cancel the y value to leave us with the x value. In order to do this, you need to multiply y by a value that cancels 8y in 14x + 8y = 1794, which is -8.

So we multiply the entire equation of x + y= 159 by -8 to get. Now we would add these equations together where you subtract by like terms so:

[tex]14x + 8y = 1794\\-8x - 8y = -1272[/tex]

This leaves us with 6x=522 now you would divide by 6 to isolate x which leaves you with 87.

A side of the triangle below has been extended to form an exterior angle of 135º. Find
the value of x.
xo
135
115

Answers

Answer:

X = 45

Step-by-step explanation:

x + 135 = 180  {Linear pair}  

       x = 180 - 135          {Subtract 135 from both sides}  

       x = 45

What are the dimensions of the product matrix of two of these matrices?

Answers

Answer:

BD= 2 x 1 CA= 1 x 2 BC= 2 x 3

Step-by-step explanation:

Find the value of x when 6 - 2x = 5x - 9x + 20.

Answers

Hey! Answer to this is x = 7

Answer:

X = 7

Step-by-step explanation:

6-2x = 5x-9x+20

Combine like terms

6-2x = -4x+20

Isolate x

2x = 14

Divide by 2

x = 7

Please help I'll give the brainiest to the right answer!

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Because vertical angles are always equal, we want to solve [tex]50x+10=70x-10[/tex].

We can add 10 to both sides to get [tex]50x+20=70x[/tex].

We can subtract [tex]50x[/tex] from both sides to get [tex]20=20x[/tex].

Lastly, we divide both sides by 20 to get [tex]1=x[/tex].

So, [tex]\boxed{x=1}[/tex] and we're done!

The check is left as an exercise to the reader.

Answer:

x= 1

Step-by-step explanation:

TO solve you can use the equation 50x+10=70x-10.

First, subtract 10 from both sides:

50x= 70x-20

Then subtract 70x from both sides:

-20x=-20

Then divide by -20:

x=1

Check your work:

50(1)+10=70(1)-10

50+10=70-10

60=60

Hope this helps!

someone please help me on this

Answers

Answer:

5.3 yds

Step-by-step explanation:

12/9=1.3

1.3 x 4 = 5.3

hope this helps :)

please crown me brainliest!!!

What is
[tex] {3}^{ - 2} [/tex]
as a fraction?​

Answers

Answer:





1 1/2


hope it helps

If 95 students out of 250 students choose adventure as favorite movie what is that percentage

Answers

35% this is the awesome I’m just filling

Answer:

38%

Step-by-step explanation:

38% of 250 = 95

How to solve it:

[tex]\frac{38 * 250}{100} =95[/tex]

At the beginning of the year, Grayson had $45 in savings and saved an additional $19 each week thereafter. Jacob started the year with $90 and saved $16 every week. Let GG represent the amount of money Grayson has saved tt weeks after the beginning of the year and let JJ represent the amount of money Jacob has saved tt weeks after the beginning of the year. Write an equation for each situation, in terms of t,t, and determine the who has more money saved after 18 weeks.

Answers

Answer:

The will have the same amount $ 387

Step-by-step explanation:

Grayson: y = 19x + 45

Jacob: y = 16x + 90

Grayson: y = 19(18) + 45

342 + 45 = $387

Jacob: y = 16(18) + 90

288 + 90 = $378

what is 8x6huhvgjjjjhhjhojhkojkljfkgjkjkgjkdfjkfdjtjrjgjhghhjghtrht4khtrgvgjbhhjjhjhjj

Answers

Answer:

48

Step-by-step explanation:

The answer to 8x6 is 48.

the correct answer to 8x6 is 48

☠☠☠❤❤❤‍‍♂️‍♀️‍♀️‍♀️‍‍‍‍‍♀️‍‍‍♂️‍♀️‍♂️‍♀️‍♀️‍♀️‍♀️‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍☄❄⚡⛈✨⚽️♣️♠️♣️♟♠️♣️↘️⬇️⏏⏮⏮⚕⚜⚕⚜⚕⏬♂️⏸9️⃣®️9️⃣4️⃣️5️⃣️4️⃣1️⃣®️1️⃣1️⃣‼️❕⁉️0️⃣⁉️9️⃣4️⃣️6️⃣9️⃣️️▫️▫️⚪⚪️⚪▪️️▫️️

Answers

Answer:

ouuu noice king of spades

Answer:

‍♀️‍♀️

Step-by-step explanation:

bahahaha

4 1/2 yards of rope -6 2/3 yards of rope

Answers

Answer:

-2.17 yrds?

Step-by-step explanation:

The equation of the line f is y =4/9x+3/2.Line g is perpendicular to f. What is the slope of line g?

Answers

Answer:

-9/4

Step-by-step explanation:

A perpendicular slope is on that is the negative reciprocal. current slope=4/9 and the negative recipocal is -9/4.

BRAINLIEST!!! +10 POINTS!!! REAL ANSWERS ONLY PLEASE!!!

Answers

Answer:

Below : )

Step-by-step explanation:

1) {x lx is all real numbers}

2) {y l y is greater than or equal to zero}

3) increasing

4) decreasing

range: the set of output values corresponding to the domain values

domain: the set of input values for which the function is defined

Hope this helps! : )

Somebody help me please

Answers

Answer:

13th Amendment- C

14th Amendment- A

15th Amendment- B

Step-by-step explanation:

Answer:

13th C

14th A

15th B

Step-by-step explanation:

You have to think of it in events in order. Slaves can't vote until they're free, so the thirteenth amendment gets rid of slavery. It wouldn't make sense if slaves could vote without other freedoms, so freedoms come first. 14th is B for this reason. Lastly, the fifteenth amendment grants African American men to vote years down the road (women weren't allowed to vote yet at all, so the African American females also didn't have this right)

A, B and C lie on a straight line segment.A, E and D lie on a straight line segment.BE = 1.8m, CD = 9m and BC = 1.7m.Work out the length of AB.Write your answer to two decimal places.

Answers

The relationship between the points is an illustration of similar shapes.

The length of AB is 0.43

The given parameters are:

[tex]\mathbf{BE = 1.8}[/tex]

[tex]\mathbf{CD = 9}[/tex]

[tex]\mathbf{BC = 1.7}[/tex]

From the question (see attachment), we have the following observations:

BE corresponds to CDAB corresponds to AC

So, the equivalent ratio is:

[tex]\mathbf{AB:BE =AC:CD }[/tex]

Substitute known values

[tex]\mathbf{AB:1.8 =AC:9 }[/tex]

Express as fractions

[tex]\mathbf{\frac{AB}{1.8} =\frac{AC}{9} }[/tex]

Multiply both sides by 1.8

[tex]\mathbf{AB =\frac{AC}{5} }[/tex]

AC = AB + BC

So, we have:

[tex]\mathbf{AB =\frac{AB + BC}{5} }[/tex]

Substitute 1.7 for BC

[tex]\mathbf{AB =\frac{AB + 1.7}{5} }[/tex]

Multiply through by 5

[tex]\mathbf{5AB =AB + 1.7}[/tex]

Collect like terms

[tex]\mathbf{5AB -AB =1.7}[/tex]

[tex]\mathbf{4AB =1.7}[/tex]

Divide both sides by 4

[tex]\mathbf{AB=0.425}[/tex]

Approximate

[tex]\mathbf{AB=0.43}[/tex]

Hence, the length of AB is 0.43

Read more about similar shapes at:

https://brainly.com/question/20536565

53-3 times 9 + 12 divided by 3

Answers

Answer:

53-3 times 9 + 12 divided by 3 = 30

Step-by-step explanation:

Answer:

350

Step-by-step explanation:

53-3=50

9+12=21

50 x 21 = 1050

1050/3 = 350

Use the triangles shown. The graph with X-coordinate marks -2, 0, 2, 4, 6, 8, 10, and 12. Y-coordinate marks -2, -1, 0, 2, and 4. There is triangle ABC with coordinates A at (-1, 3), B at (5, 5), C at (4, -2). There is triangle XYZ with coordinates X at (12, 2), Y at (7, 5), Z at (6, -2). Segment BC is parallel to segment YZ. What is the best description of the relationship between triangle ABC and triangle XYZ?

Answers

YZX is sooooooooooooooooooooooooooo easy

how many miles of the road does the crew have left to pave after 11 days?

Answers

A construction crew needs to pave a road that is 205 miles long. The crew paves 8 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function.

L(d) = 205 - 8d

For BRAINILY please help I need to pass this class

Answers

Answer:

70

Step-by-step explanation:because they are all the same angles

Least to greatest 3%,00.8,2/50

Answers

Answer:

3% , 2/50 , 0.08

Step-by-step explanation:

I believe the easiest way to go about this is to convert all the numbers t0o decimals!

0.08 is already given, so we just need to figure out what 3% and 2/50 are in decimal form.

When converting percents to decimals, a good rule of thumb to remember is to divide the percent by 100.

3 ÷ 100 = 0.03

For fractions, simply divide the numerator by the denominator:

2 ÷ 50 = 0.04

Now we just order the numbers based on their value...

0.03, 0.04, 0.08

So the final answer should be:

3% , 2/50 , 0.08

Hope this helps :D

Find the output, h, when the input, x, is –18.
h=17+x/6
h=

Answers

Answer:

14

Step-by-step explanation:

h= 17 + -18/6

h= 17 + -3

h = 14

Can someone help me do this

Answers


180-60=120
60 is from the complementary angle
It’s 120 because exterior angle is equal to a + b in this case that’s 50 and 70 so 50 + 70 =120

Please help me with this question

Answers

Answer:

B

Step-by-step explanation:

How do I simplify 3(x-4)-5(z+2x) ?
I have it down to 3x-(-12)-5z+2x because I multiplied the first set of parenthesis by 3 and the second set by -5. The answer is -7x-5z-12 but how do I get there?

Answers

You first step was wrong. This is the correct procedure…

3(x - 4) - 5(z + 2x)

3x - 12 - 5z - 10x

From here, combine like terms.

-7x - 5z -12

​Systems of equations with elimination 2y+7x=−5 and 5y−7x=12 ​

Answers

I think it is helpful for you..

Please make me brainliest

-4d > 8 and 2d > -6 and graph

Answers

Answer:

Step-by-step explanation:

We can add like terms. Like terms are when the variables are alike, so you can add them to get a simpler form of your expression.equation.

4d and 2d are like terms, therefore, we can add them.

6d+6 is what we are left with.

Our final answer: 6d+6 is equivalent to 4d+6+2d

Answer:

Step-by-step explanation:

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