What are the types of roots in a quadratic equation?

Answers

Answer 1

Answer:

There are three types of roots of a quadratic equation ax2+bx+c=0 a x 2 + b x + c = 0 : Real and distinct roots. Real and equal roots. Complex roots.

Step-by-step explanation:

Hope this helps!

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Related Questions

Can 0.06 be rational or irrational???

Answers

Step-by-step explanation:

it would be irrational insta dfl.jacob if you need more help

Answer:

Rational

Step-by-step explanation:

0.06=3/50

The equation y=1/9x represents the distance y, kilometers, that Patrick traveled in x minutes while training for the cycling portion of a triathlon. The table shows the distance y Jennifer traveled in x minutes in her training. Who has the faster training rate?

Answers

Answer:

Jennifer has the faster training rate.

Step-by-step explanation:

In order to determine the equation that represents the distance, y (in kilometers), that Jennifer traveled in x minutes:

Choose two ordered pairs from the table: (5, 40) and (64, 8).

Let (x1, y1) = (40, 5)

(x2, y2) = (64, 8)

Substitute these values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = (8 - 5)/(64 -40)

m = 3/24 = 1/8

Therefore, y = 1/8x represents the distance, y (in kilometers), that Jennifer traveled in x minutes.

In order to find out who has the faster training rate, choose one of the given x values from the table, and substitute it into Patrick's and Jennifer's equations:

Let x = 40:

Patrick:

y = 1/9x

y = 1/9(40)

y = 4.44 km  ⇒ This represents the distance that Patrick traveled in 40 minutes.

In contrast, Jennifer traveled for 5 kilometers in 40 minutes (according to the given table). She reached a farther distance than Patrick, given their training time of 40 minutes.

Therefore, Jennifer has the faster training rate.

Taylor has $150 to spend on small canvases and paints for her art classes. The art supply store sells a four-pack
of small canvases for $4.00 and paints for $6.25, including tax.
Which inequality represents this situation where is the number of four-packs of canvases and p is the number of
paints Taylor purchases?
O4c+ 6.25p < 150
O 40+ 6.25 > 150
O 6.25c+ 4p > 150
O 6.25c +4p < 150

Answers

Answer:A

Step-by-step explanation:

–5(–2)=

i will mark branliest for whoever finds the integers! this is brain-hurting, please help :(

Answers

Answer:

-5(-2)=10

Step-by-step explanation:

Let be x

[tex] - 5 \times - 2 = x \\ take \: minus \: to \: rhs \: from \: lhs \\ 5 \times ( - 2) = - x \\ - 10 = - x \\ cancel \: minus \: on \: both \: sides \\ 10 = x[/tex]

A=27.36+73.99+27.14-49.73

Answers

Answer:

78.76

Step-by-step explanation:

Can a triangle have sides with the given lengths 8cm, 7cm, 9cm explain

Answers

Answer:

YES

Step-by-step explanation:

For a triangle of sides a, b, c, we must have the following to be true to have a triangle.

a + b > c > |a - b|

b + c > a > |b - c|

a + c > b > |a - c|

if a=8, b=7, and c=9, we have that:

8 + 7 > 9 > 8 - 7, 15 > 9 > 1. TRUE.

7 + 9 > 8 > 9 - 7, 16 > 8 > 2. TRUE.

8 + 9 > 7 > 9 - 8, 17 > 7 > 1. TRUE.

Thus, a triangle can have sides of 8 cm, 7 cm, 9 cm.

Can someone please give me the answers to this? ... please ...

Answers

Answer: don’t know what your requesting but a lot of these are wrong

Step-by-step explanation:

Ty’Reese is 12 years old and collects trading cards. He has 972 cards. He wants to put them into albums. Each album holds 36 cards. How many trading card albums will he need?

Answers

In the wοrd prοblem, He need 27 albums fοr tοtal trading cards.

What is wοrd prοblem?

Wοrd prοblems are οften described verbally as instances where a prοblem exists and οne οr mοre questiοns are pοsed, the sοlutiοns tο which can be fοund by applying mathematical οperatiοns tο the numerical infοrmatiοn prοvided in the prοblem statement. Determining whether twο prοvided statements are equal with respect tο a cοllectiοn οf rewritings is knοwn as a wοrd prοblem in cοmputatiοnal mathematics.

Here the given Tοtal number οf cards = 972

Number οf cards each album hοld = 36

Nοw ,Tοtal number οf album

=> Tοtal number οf card / Number οf cards each album hοld

=> 972/36

=> 27.

Hence He need 27 albums fοr tοtal trading cards.

To learn more about word problem

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please help fast ^^

Using the discriminant, determine the number of real solutions,

-2x^2+x-28= 0

Ono real solutions
O one real solution
O two real solutions

Answers

The discriminante :
b^2-4ac

1^2 - 4 * -2 * -28 = 1 - 224 = -223

When the discriminant (b^2-4ac) is less than 0, the equation had no real solutions.

-223<0, so, 2x^2+x-28 = 0 has no real solutions.


Hope that helps :)

The number of real solutions is 0, the correct answer is A.

How to use discriminant to find the property of solutions of given quadratic equation?

Let the quadratic equation given be of the form ax^2 + bx + c = 0, then

The quantity b^2 - 4ac is called its discriminant.

The solution contains the term [tex]\sqrt{b^2 - 4ac}[/tex] which will be:

Real and distinct if the discriminant is positive

Real and equal if the discriminant is 0

Non-real and distinct roots if the discriminant is negative

There are two roots of a quadratic equations always(assuming existence of complex numbers). We say that the considered quadratic equation has 2 solution if roots are distinct, and have 1 solutions when both roots are same.

We are given that;

The equation -2x^2+x-28= 0

Now,

The discriminant of a quadratic equation ax^2 + bx + c = 0 is given by b^2 - 4ac. The discriminant can be used to determine the number of real solutions of the equation as follows:

If the discriminant is positive, there are two distinct real solutions.

If the discriminant is zero, there is one repeated real solution.

If the discriminant is negative, there are no real solutions.

In this case, the quadratic equation is -2x^2 + x - 28 = 0. Comparing it with the standard form, we can identify that a = -2, b = 1, and c = -28. Therefore, the discriminant is:

b^2 - 4ac

= 1^2 - 4(-2)(-28)

= 1 - 224

= -223

Since, the discriminant is negative, there are no real solutions for this equation.

Learn more about discriminant of a quadratic equation here:

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Can someone pls help me

Answers

Answer: help what?????

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST NO FAKE ANSWERS OR WILL BE REPORTED
Evaluate the expression IN EXPONENTIAL FORM

Answers

Answer:

-10 × -10= 100

dkfofjdnrjf

Solve. If this is no solution write s { }
5x-9>8+5x

Answers

the answer is there are no solution

What is the standard form of function f?


f(x)=4(x+6)+5


Substitute numerical values into the equation for a, b, and c.

Answers

Answer:

A = 4; B = -1 ; C = -29

Step-by-step explanation:

y = 4(x + 6) + 5

y = 4x + 24 +5

y = 4x + 29

Standard form: Ax + By = C

 4x - y = -29  

Answer:

Step-by-step explanation:

Hope this Helps ;)

how do you use subsitution for5x+2y=4

Answers

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*x+2*y-(4)=0

Equation of a Straight Line

1.1     Solve   5x+2y-4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x+2y-4  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000

 y-intercept = 4/2  =  2  

Calculate the X-Intercept :

When y = 0 the value of x is 4/5 Our line therefore "cuts" the x axis at x= 0.80000

 x-intercept = 4/5  =  0.80000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is -3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.000 - 2.000 = -5.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -5.000/2.000 = -2.500  

Geometric figure: Straight Line

 Slope = -5.000/2.000 = -2.500

 x-intercept = 4/5 = 0.80000

 y-intercept = 4/2 = 2

solve equation s - 12= 20. s=?

Answers

Answer:

s = 32

Step-by-step explanation:

We have our equation:

s - 12 = 20

And we are trying to find s. Therefore, we can isolate the variable s, which means we have to move all the values from the variables side to the other side, like so:

s - 12 = 20

 +12     +12 (we add 12 to both sides in order to cancel out the -12, and also because whatever we do to one side, you have to do to the other!)

So, now our equation will look like this:

s = 20 + 12,

or,

s = 32

Which happens to be our answer!

Hope this helps :)

Choose the grid reference number for the mine shown.
A. 631226
B. 126362

Answers

Answer:

631226

Step-by-step explanation:

The grid reference number for the mine shown is (63.35, 12.7).

What is coordinate plane?

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.

From the given grid,

The reference point is (63.35, 12.7)

Therefore, the grid reference number for the mine shown is (63.35, 12.7).

Learn more about the coordinate plane here:

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Anyone know thiss?I need helpppp!!

Answers

Answer:

5)

V= 1,-4

S) x=1

Min= 1,-4

zeros= (-1,0)(3,0)

6)

V= -2,0

S= x=-2

min= -2,0

zeros= -2,0


[tex]Simplify: \frac{ 5×(25)^{n+1} - 25 × (5)^{2n}}{5×(5)^{2n+3 }- (25)^{n+1​}} \\ [/tex]
Correct answer please ​

Answers

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

Multiply out and simplify:
3(X-3) + 2(x-5)

Answers

Answer:

5x-19

Step-by-step explanation:

distribute first

3x-9+2x-10

add like terms

5x-19

5x-19 is your answer

maths .....................​

Answers

Answer:

in simplify this is- 9a2i+42ab+49b2

Step-by-step explanation:

What percent represents the part of the model shaded green. A.60% B.62.5%. C.66.7% D.75%

Answers

Answer:

60%

Step-by-step explanation:

3/5 = 6/10 = 60%

Answer:

A. 60%

Step-by-step explanation:

3/5 =30/50=60/100

what is the y-intercept from the following?

Answers

Answer:

the y intercept is -3

Step-by-step explanation:

if you need an explanation lmk!

Answer:

y- intercept = - 3

Step-by-step explanation:

The y- intercept is where the line crosses the y- axis.

This occurs when the x- coordinate is zero

From the table

when x = 0 , then y = - 3 ← y- intercept

explain mathematically how you know 15y=18 and 5y=6 are equivalent

Answers

Answer:

15y + 18 and 5y = 6 are equivalent because when you divide 15y and 18 by 3

5y = 6 is what you get. When you multiply 5y and 6 by 3, 15y = 18 is what you get.

i am a factor of 12 the other factor is three what number am i

Answers

292 cus my old friend is going to be there at church and i and i and i and i and i and dad and i and i and dad and

Quis
bentuk faktorial dari
5!=​

Answers

Answer:

5!=

[tex] = 5 \times 4 \times 3 \times 2 \times 1 \\ = 20 \times 3 \times 2 \times 1 \\ = 60 \times 2 \times 1 \\ = 120 \times 1 \\ = 120[/tex]

Hi, I need help with this math . What is inpendent and dependent variable in question?
Here's the question: The formula for the surface area of a right rectangular prism is a=2LW+2HW+2H , where l, w, and h represent length, width, and height , respectively, which term of this formula is not dependent on the height?
1) A
2) 2LW
3) 2HW
4) 2LH

Answers

Answer:

Answer is option 2 (as it doesn't contain H)

Step-by-step explanation:

If you like my answer than please mark me brainliest

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The term in the formula which isn't dependent on height is :

2.) 2LW

HELP ME WITH ANGLES PLEASE>

Answers

x = 33

hope i helped <3

Answer:

x = 33

Step-by-step explanation:

Pls brainliest I knew it because of K12

PLEASE HELP ME IM BEGGING YOU

Answers

Answer:

look at the photo..................

Which of the following ordered pairs make this
equation true?
y = 2x + 1

A. (1,2)
B. (2,5)
C. (7,3)
D. (9, 4)

Answers

Answer:

B. (2, 5)

Step-by-step explanation:

If x = 2,

y = 2(2) + 1

= 5.

The answer is B hope this helped my friend!

The n sequence question

Answers

Answer:

a) in order

-3;-2;-1

b) 6

1-4=-3

2-4=-2

3-4=-1

4-4=0

5-4=1

6-4=2

7-4=3

8-4=4

9-4=5

10-4=6

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