A quadratic equation of the form 0=ax^2+bx+c has a discriminant value of -16. How many real number solutions does the equation have?

Answers

Answer 1

None

If the discriminant b² - 4ac < 0

There are no real solutions


Answer 2

The equation has no real solutions because  the discriminant is -16.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given the quadratic equation by;

ax² + bx + c = 0

By using the quadratic formula,

x = [-b ± √b² - 4ac]/2a

The discriminant of a quadratic equation explains the nature of the roots of that quadratic equation.

If the discriminant is negative, then the equation has no real roots.

If the discriminant us positive, then the equation has two real roots.

If the discriminant is zero, then the equation has a repeated root.

Since the discriminant is -16, then the equation has no real roots.

b² - 4ac < 0. There are no real solutions

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Related Questions

i dont get this question can someone explain???

Answers

The inequality based on the information will be 0.8x + 8 ≤ 15.

What's the inequality?

Let x be the number of rides you can go on.

The total amount of money you will spend on rides is 0.8x dollars.

The total amount of money you will spend on admission, lunch, and a snack is $4 + $3 + $1 = $8.

The total amount of money you have to spend is $15.

Therefore, the inequality based on the information will be 0.8x + 8 ≤ 15.

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all numbers that have 9 as a factor also have 2 as a factor ?
True or False

Answers

False
For example factors of the number 9:
1, 3, 9
9 has 9 as a factor but not 2
False.

Numbers with factors of 9:

18, 27, 36, 45, 54, 63, 72, 81

18, 36, 54 and 72 may have factors of 2, but the other do not.

This means that not all numbers with 9 as a factor will also have 2 as a factor.

Katarina wrote the standard form of a linear equation as 4x – 2/3 y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina?

A. Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24.

B.Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.

C.Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 8.

D.Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 4.

Answers

The standard form of a linear equation in general is given by:

[tex]ax+by=c[/tex]

Now we are given the equation :

[tex]4x-\frac{2}{3}y=8[/tex]

In order to convert this into standard equation, we have to eliminate the 3 in the second term on the left side of equation.

Here 3 is in division ,so we have to perform opposite operation of division that is multiplication.

So multiplying both sides by 3 , we have

[tex]12x-2y=24[/tex]

So that means option A.Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24. is the correct advice given by Sofiya.


Answer:

a

Step-by-step explanation:

I took test on edge

A​ student's cost for last semester at her community college was ​$2300. She spent ​$276 of that on books. What percent of last​ semester's college costs was spent on​ books?

Answers

Answer: There is 12% of last semester's college costs was spent on books.

Step-by-step explanation:

Since we have given that

Amount spent at her community college = $2300

Amount spent of that on books = $276

We need to find the percent of last semester's college costs was spent on books is given by

[tex]\dfrac{276}{2300}\times 100\\\\=\dfrac{27600}{23}\\\\=12\%[/tex]

Hence, there is 12% of last semester's college costs was spent on books.

The student spent 12% of last semester's college costs on books.

How to solve the percentage

To find the percentage of last semester's college costs that was spent on books, you can use the following formula:

Percentage = (Part / Whole) * 100

In this case:

The "Part" is the amount spent on books, which is $276.

The "Whole" is the total college cost for last semester, which is $2300.

Percentage = ($276 / $2300) * 100

Percentage = (0.12) * 100

Percentage = 12%

So, the student spent 12% of last semester's college costs on books.

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what is the prime factorization of 54

Answers

Hello there!

This question is so super easy to me.

Explanation:

↓↓↓↓↓↓↓↓↓

First you had to find prime factorization of 54.

[tex]2*3*3*3=54[/tex]

Then you can also written with exponents.

[tex]2*3^3[/tex]

You can also used factors of 54.

Factors of 1, 2, 3, 6, 9, 18, 27, 54

Answer⇒⇒⇒⇒⇒[tex]2*3^3[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

The prime factorization of 54 is [tex]2 \times 3^3[/tex].

Given that,

The number is 54.We have to find out the prime factorization of the above number.

Based on the above information, the calculation is as follows:

The prime factorization of 54 is

=  [tex]2 \times 3^3[/tex].

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DaMontre is at basketball practice, where he takes 30 shots a minute. He also took an extra 70 shots before practice. If DaMontre took 1,870 shots, how long did he practice for?

Answers

Final answer:

DaMontre practiced for 60 minutes after taking a total of 1,870 shots, with an initial 70 shots before practice and 30 shots per minute during practice.

Explanation:

The question asks how long DaMontre practiced basketball if he took a total of 1,870 shots, with a pre-practice session of 70 shots, and during practice, he takes 30 shots a minute.

Step-by-step solution:

First, subtract the extra shots DaMontre took before practice from the total number of shots to find out how many shots were taken during practice. So, 1,870 - 70 = 1,800 shots during practice.

Next, to find out how long he practiced for, divide the number of shots taken during practice by the rate at which he takes shots per minute. Therefore, 1,800 shots divided by 30 shots/minute = 60 minutes.

Thus, DaMontre practiced for 60 minutes, which is the answer to the question.

Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each student, one at a time, for 3/4 of an hour, how many students does she tutor?

Answers

6=24/4
24/3 = 8
She tutors 8 people.

Answer:

She tutors 8 students

Step-by-step explanation:

She is at the library for 6 hours. One hour has 60 minutes so she is at the library for [tex]6*60=360[/tex]  minutes.

She helps each student for [tex]3/4[/tex] of an hour, that means [tex]3/4*60=45[/tex] minutes.

So now we have to calculate how many times does 45 minutes fits in 360 minutes (how many students she can help in 6 hours). That is [tex]360/45=8[/tex] students.

Can’t remember what I learned in class,I need some help!

Answers

Answer:

1.  ∠9 = 115°

2.  ∠10 = 65°

3.  ∠8 = 70°

4.  ∠3 = 70°

5. ∠4 = 110°

6. ∠11 = 70°

7. ∠5 = 65°

8. ∠14 = 115°

Step-by-step explanation:

Given that, two parallel lines and two transversal lines.

also given that, ∠1 = 115°   &    ∠12 = 110°

We know that, straight angle  = 180°

∠1 + ∠2 = 180°

∠2 = 180 - 115

∠2 = 65°

∠2 & ∠5 are vertical angles. So, they are same

∠2 = ∠5

∠5 = 65°

Similarly, ∠1 = ∠6 (vertical angles)

∠6 = 110°

Now given that, ∠12 = 110°

∠11 + ∠12 = 180°

∠11  = 180 -110

∠11 = 70°

∠11  &  ∠16 are vertical angles.

∠11  = 16

∠16 = 70°

∠12   =   ∠15  (vertical angle)

∠15  = 110°

∠4  & 12 are Corresponding Angles

∠12  = ∠4

∠4 = 110°

∠3 = 180 - ∠4 = 180 - 110

∠3 = 70°

∠7 = ∠4   (vertical angle)

∠7 = 110°

∠3 = ∠8 (vertical angle)

∠8 = 70°

∠1 = ∠9    (Corresponding Angles )

∠9 = 115°

∠10 = ∠2  (Corresponding Angles )

∠10 = 65°

∠13 = ∠10  (vertical angle)

∠13 = 65°

∠14 = ∠9  (vertical angle)

∠14 = 115°

9.  ∠7 and ∠2  no relation between them.

10. ∠6 and ∠14  are corresponding angles.

11. ∠13 and ∠12 no relation.

12. ∠7 and ∠11 are Consecutive Interior Angles

13.  ∠1 and ∠8 no relation.


If 2x=8 what does "x" equal?

Answers

2x=8. you need to divide 8 by 2 to get x by itself. 8/2=4. x=4.

Q(x)=4x^2-1 find Q(-7)

Answers


[tex]q( - 7) = 4x {}^{2} - 1[/tex]
so
[tex]4( - 7) {}^{2} - 1[/tex]
195

[tex]Solution, \mathrm{Isolate}\:x\:\mathrm{for}\:If\left(I,\:x\right)Q\left(x\right)=4x^2-1:\quad x=\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2},\:x=-\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2}[/tex]

[tex]Steps: If\left(I,\:x\right)Q\left(x\right)=4x^2-1[/tex]

[tex]\mathrm{Switch\:sides}, 4x^2-1=If\left(I,\:x\right)Q\left(x\right)[/tex]

[tex]\mathrm{Add\:}1\mathrm{\:to\:both\:sides}, 4x^2-1+1=If\left(I,\:x\right)Q\left(x\right)+1[/tex]

[tex]\mathrm{Simplify}, 4x^2=If\left(I,\:x\right)Q\left(x\right)+1[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4, \frac{4x^2}{4}=\frac{If\left(I,\:x\right)Q\left(x\right)}{4}+\frac{1}{4}[/tex]

[tex]\mathrm{Simplify}, x^2=\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}, x=\sqrt{\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}},\:x=-\sqrt{\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}},\sqrt{\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}}=\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2},-\sqrt{\frac{f\left(I,\:x\right)Q\left(x\right)I+1}{4}}=-\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2}[/tex]

The correct answer is [tex]x=\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2},\:x=-\frac{\sqrt{f\left(I,\:x\right)Q\left(x\right)I+1}}{2}[/tex]

Two hikers stopped for a snack. They shared 2/3 of a pound of trail mix. If the hikers shared the trail mix equally, how much trail mix did each hiker get?

Answers

each hiker gets 1 1/2

i hope this helped

Answer:

1/3 is the answer

hi, I am a sub for Glenridge and I need the answer to the question as soon as possible please here is the question Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weights 4 kg. The total weight of Carl's baggage is 35 kg.

Write an equation that illustrates the problem and can be used to determine the weight, w, of each of Carl's checked bags.

Answers

35-4÷2 that is the answer

The equation to determine the weight of each of Carl's checked bags is 2w + 4 = 35. After solving, we find that each checked bag weighs 15.5 kg.

To solve the problem regarding Carl's baggage weight, we set up an equation. Carl has two checked bags of equal weight, let's call the weight of each bag w kilograms. He also has a backpack weighing 4 kg. According to the problem, the total weight of all his baggage is 35 kg. We can represent this situation with the following equation:

2w + 4 = 35

This equation adds the weight of the two checked bags (2w since there are two of them and they are equal in weight) and the 4 kg backpack to get the total weight of 35 kg. To find the weight of each checked bag, we can simply subtract the weight of the backpack from the total weight and then divide by two:

Subtract the weight of the backpack from the total weight: 35 - 4 = 31 kgDivide the remaining weight by two to find the weight of each checked bag: 31 / 2 = 15.5 kg

Therefore, the weight of each of Carl's checked bags is 15.5 kg.

How do I use distributive property to simplify 1/5( 30-1/3 )

Answers

what the guy up top said.

The table displays the total cost, y, of purchasing x tickets for the carnival. Which conclusions can you draw from the data shown in the table? Select all that apply. Twelve tickets cost $30.00. Thirty tickets cost $12.00. Each additional ticket costs $2.50. The table is a partial representation. (27.50, 11), (30, 12) and (32.50, 13) are the ordered pairs represented in the table.

Answers

Answer:

Twelve tickets cost $30.00.

Each additional ticket costs $2.50.

The table is a partial representation.

Answer:

A C D

Step-by-step explanation:

Can you tell me
what is 2 4/5 x 3

Answers

4 1/5

hope this helped, im better at algebra tho :)

Which expressions are equivalent to x+x+x + 2 ?
Choose 2 answers:

A
3x + 2

B
3 + 2x

C
3(x+2)

D
2(x+1)+x

E
5x

Answers

Answer:

A and D

Step-by-step explanation:

Only Answers A and D are equivalent to the given expression.

In A we see the variable 'x' show up three times, and so we write 3x + 2.

In D, after performing the indicated multiplication, we have 2x + 2 + x, which condenses to 3x + 2.

        A mathematical expression is a finite arrangement of symbols and variables following a rule relating to the set of the finite variables.

From the given information:

x +x + x + 2= 3x + 2

Also, we can have it has: 2(x+1) +x.

This is because if we simplify the above expression, we will arrive at 3x +2.

Let's solve:

The first thing we will want to do is to open the brackets

= 2(x+1) + x = 2x + 2 + x

By rearrangement of like terms, we have:

= 2x + x + 2= 3x +2

        Therefore, we can conclude that the mathematical expressions that are equivalent to x + x + x +2 are in Option A and D.

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Tony is writing a fraction equivalent to 2/7 using the formula 2*m/7*n. Which statement about m and n must be true so that tony fraction has the same value as 2/7

A. M/n has to be greater than 1
B. M/n has to equal 7
C. M/n has to be greater than 2
D. M/n has to equal 1

Answers

the answer is A i think



                                                  hope it helps

Answer:

Step-by-step explanation:

Given that Tony is writing a fraction equivalent to [tex]\frac{2}{7}[/tex] using the formula [tex]\frac{2}{7} *\frac{m}{n}[/tex]

Since this is equal to 2/7

we must have the value of [tex]\frac{m}{n} =1[/tex]

Hence option D is right.

The floor of a room is being covered with tile. An area of 3/4 of the length and 3/5 of the width is covered. Find the fraction of the floor that has been covered.

Answers

Area = length x width = 3/4Length*3/5Width=9/20LW. The total area covered by the entire floor is the full length x width which is just LW. Therefore 9/20 of the floor has been covered

To determine the fraction of the floor covered, we multiply the fraction of the length covered (3/4) by the fraction of the width covered (3/5), resulting in a covered area of 9/20 of the floor space.

To find the fraction of the floor that has been covered by tile, we need to multiply the fraction of the length covered by the fraction of the width covered. If an area of 3/4 of the length and 3/5 of the width is covered, then we perform the multiplication: (3/4) x (3/5) = 9/20.

This means that the fraction of the floor covered with tile is 9/20. This fraction represents the percentage of the entire floor that is tiled, which in this case indicates that less than half of the room is covered because 9/20 is less than 1/2.

1+2g=-7 how do you do this?

Answers

Answer:

you would - 1 to -7 and get -8 then divide -8 by -2 than it would be 4


Step-by-step explanation:


I like my equations to have the variable before the constant.

2g+1=-7

Subtract 1 from the left side. Remember, whatever you do on one side, you MUST do it on the other.

2g=-8

Divide 2 from BOTH sides.

g=-4

Hope this helps!

:)

a perfectly spherical orange is split into four equal sections of the radius of the Orange is 4 centimeters what is the total surface area of a

Answers

Answer: 32π cm2

Step-by-step explanation:

Answer:

B: 32π cm2

Step-by-step explanation:

On edg

What’s the product of -2(-3.4)

Answers

Positive 6.8, because when numbers are next to each other with a parathesis being the only thing between them, all you have to do is multiply. Because they are both negative as well they'll cancel out or make the product/answer positive.

Not really getting this can someone plz explain.

Answers

your answer would be b becuase that is 3/6 so thats half and ou would simply it and 1/4 do the same

PICKING BRIANLIEST ANSWER NOW!!!!!!! Which graph shows a dilation? LOOK AT PICTURES

Answers

The answer is D the last graph.

The required graph shows a dilation in graph D. Option D is correct.

Following the given case, 4 graphs are shown we have to determine the graph showing the dilation of concentric triangles.

Dilation of a triangle refers to the transformation that changes the size of the triangle while preserving its shape. It involves scaling the triangle by a factor, either enlarging or reducing its dimensions. The dilation is centered at a fixed point called the center of dilation.

While going through the figure, graphs A, B, and C are none dilated triangles because the triangles show dissimilarities. But D shows the dilation of the triangle because the two triangles are similar.

Thus, the required graph shows a dilation in graph D. Option D is correct.

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Why did the scientist create an exact duplicate of himself

Answers

To do his work that he didn't want to do.


A designer wants to make a circular fountain inside a square of grass as shown at the right. What is a rule for the area A of the grass as a function if r

Answers

Answer:

[tex]A=4r^{2}-r^{2}\pi[/tex]


Step-by-step explanation:

1. To calculate the area of the grass you must substract the area of the square and the area of the circle.

2. The area of the square is:

[tex]A1=L^2[/tex]

Where [tex]L[/tex] is one side of the square.

3. You have that:

[tex]L=2r[/tex]

4. Therefore:

[tex]A1=(2r)^{2} =4r^{2}[/tex]

5. The area of the circle is:

[tex]A2=r^{2}\pi[/tex]

6. The are of the grass is:

[tex]A=4r^{2}-r^{2}\pi[/tex]

Kelly is reading an 858-page book. During the past 6 days she has read 468 pages. At this rate, how many more days will it take her to complete

Answers

5 days because she reads 78 pages a day and she has 390 pages left, 78 goes into 390 5 times

what is the solution for 4x-9=3.5x-9?

Answers

Answer:

31.5

Step-by-step explanation:

Answer:

31.5

Step-by-step explanation:


1.Hannah walked the same number of miles each day for 5 days. Let m represent the total number of miles Hannah walked. Write a linear expression for the total number of miles she walked.
2.Jimmy brought 2 books per day to the book drive. Peter brought 4 books per day to the book drive. Let d represent the number of days of the book drive. Write a linear expression to represent the total number of books they brought.
3.Patricia buys clothes that are on sale with a 30% discount. Let c represent the cost of the clothes. Write a linear expression for the cost of the clothes.
4.A family of four had dinner together at a restaurant. Write two expressions for calculating their total bill if they leave a 15% tip. Let c represent the cost of their meal before tipping.
5.Tommy has $40 in his pocket. He sees a pair of pants that cost $37 and wants to buy them. If there's 10% sales tax where Tommy lives, can he afford to buy the pants? Write a linear expression and use it to solve the problem.
6.Add the expressions x + 18 and 3x − 12.
7.Subtract 3x − 4 from 5x + 7.
8.Subtract −4x + 1 from x − 2.

Answers

1) Given m represent the total number of miles Hannah walked.

Let us assume Hannah walked x miles each day.

So total number of miles Hannah walked in 5 days is m=5x.

2)Given Jimmy brought 2 books per day and Peter brought 4 books per day.

If d is the number of days the book drive, total number of books they brought

        =total number books brought by Jimmy+ total number of books brought by Peter                                                                          

        = 2d+4d = 6d

3) Given that c represent cost of the clothes.

Then 30% discount = 0.3c

Hence cost of the clothes = c-0.3c = 0.7c

4) Given c represent the cost of their meal before tipping.

And tip is 15% of the cost.

Hence tip = 0.15c

Hence total bill = c+0.15c=1.15c

5) Given that Tommy had 40$ in his pocket.

And pair of pants cost 37$ with 10% sales tax.

Hence cost of pants including sales tax = 37+37*0.1 = 40.1$ >40$

Hence Tommy cannot afford the pants with 40$ in his pocket.

For following problems, we should group the like terms together and then simplify.

6) (x+8)+(3x-12) = (x+3x)+8-12 = 4x-4

7) 5x+7-(3x-4) = 5x+7-3x+4 = (5x-3x)+7+4 = 2x+11

8) (x-2)-(-4x+1)=x-2+4x-1 = (x+4x)-2-1 = 5x-3

My favorite songstress gives away 25% of the sales of the signature fragrance collection to her charity. Last month her sales were $1,200. How many much of her total sales did she donate

Answers

She donated

$

300

to her charity.

Explanation:

The amount

(

x

)

given in charity on

$

1200

sales at

25

%

is:

x

=

1200

×

25

100

x

=

12

00

×

25

1

00

x

=

12

×

25

x

=

300

show work please or explain.

Answers

1340 units²

There are 2 rectangles 25 × 12, 2 rectangles 25 × 10 and 2 rectangles 12 × 10

SA = 2(25 × 12) + 2(25 × 10) +2(12 × 10)

     = 600 + 500 + 240 = 1340 units²


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