number of solutions of quadratic equations

Number Of Solutions Of Quadratic Equations

Answers

Answer 1

Answer:

Discriminant = 120

Number of x intercepts = 2

=========================================================

Explanation:

The equation is of the form ax^2+bx+c with:

a = -7

b = 8

c = 2

The discriminant is

d = b^2 - 4ac

d = 8^2 - 4(-7)(2)

d = 64 + 56

d = 120

The discriminant is positive, meaning there are 2 different x intercepts.

If d = 0, then we'd have only one x intercept.

If d < 0, then there wouldn't be any x intercepts.


Related Questions

2(3x+2)=6x+4 linear equations

Answers

Answer:

0 or 6x+4=6x+4  (Technically no slope at all!!)

Step-by-step explanation:

You need to do distributive property and then solve for x!!

meaning the 2(3x+2) has to get distributive property process.

6x+4=6x+4

That shall be equal together!!! (You could stop here!!)


If continue:

6x-6x=4-4

0=0

Please i need the answer to this asap!!!

Answers

Answer:

They do not pay the same amount. Manuel's family pays more than Amelia's.

Step-by-step explanation:

General:

Child: c

Adult: 4 + c

Senior: 3 + c

Amelia's Family:

Total cost = 3(c) + 2(4 + c)

= 3c + 8 + 2c

= 5c + 8

Manuel's Family:

Total cost: 2(c) + 4 + c + 2(3 + c)

= 2c + 4 + c + 6 + 2c

= 5c + 10

A circle with center O(3,3)O(3,3) contains the point A(-1,14)A(−1,14).



Write a subtraction expression for each length OF AB and ABAB:

Answers

The equation for the subtraction of length of AB is -3-(-14)

How to calculate the distance between two points:

The distance between two points is the measure of the distance covered by an object.

From the given diagram, we are to find the distance between the point A and B. Since the x-coordinate are equal, hence:

AB = y2 - y1
AB= -3 - (-14)

AB = 11 units

Hence the equation for the subtraction of length of AB is -3-(-14)

Learn more on distance here: https://brainly.com/question/24775607

6) A projectile's maximum height is shown by the vertex of
the parabola. When does the cannonball reach its maximum
height? Round to the nearest whole number and remember to
include units.

7) What is the maximum height of the cannonball? Round to the
nearest whole number and remember to include units.

8) How long does it take the cannonball to land on the ground?
Round your answer to the nearest whole number and remember
to include your units,

Answers

Answer:

See below.

Step-by-step explanation:

I have already answered #6 in a previous post. Kindly find the link to the solution below :

https://brainly.com/question/27363291Although towards the largest whole number, it will be 29 meters

#7) Maximum Height

It is given that the path is a parabolaTherefore, the vertex will be the point at which height is maximumVertex = (2.5, 60.025)⇒ Y-value gives the height → 60.025 m⇒ 60 meters (nearest whole number)

#8) Time taken to land on the ground

On checking the graph, look for the point at which it intersects the x-axis or when y = 0It is clearly 6⇒ t = 6 seconds

can someone please help me with this question

Answers

A. 30.4 minutes

Hope this helps

Answer:

30.4

Step-by-step explanation:

17+28+32+35+59+20+19+33+30+31=304

304/10=30.4

ILL GIVE BRAINLIST IF ITS CORRECT PLEASE HELP ASAP!!

Answers

Answer:

check the attachment and explanation below

Step-by-step explanation:

Explanation for statement 3 :

Suppose The number of shoppers on Saturday is 100 and the number of shoppers on Sunday is 200

Total number of shoppers = 300

On Saturday :

Q₃ = 70 then 25% of shoppers spent more then $70

then 25 shopper spent more then $70

On Sunday:

M’ = 70 then 50% of shoppers spent more then $70

then 100 shopper spent more then $70

On both days:

(100+ 25) shopper spent more then $70

Then 125 shopper spent more then $70

But 125 is not 75% of 100+200=300

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

8

Step-by-step explanation:

[tex]a^2+b^2=c^2\\a^2+6^2=10^2\\a^2+36=100\\[/tex]

subtract 36 from each side

[tex]a^2=64\\\sqrt{a^2=64}\\a=8[/tex]

or you could recognize the 3-4-5 Pytagorean triple, as the ratio is doubled.

The answer for this question is 8


Let me know if you need explain

please huryyyyyyyyyyyyyyyyyyyyyy!!!!!!!!!!

Answers

Answer:

(x-1)^2 + (y-1)^2 = 16

Step-by-step explanation:

center, (h,k) = (1,1)     radius = 4

put in standard form for a circle

(x-h)^2 + ( y-k)^2 = r^2  

Help please!

Betty is 5 more than 3 times Jadyn's age. Betty is 41 old.
Write and solve an equation to find Jadyn's age, x

Equation:

Solution: x=

Jadyn is( ) years old.

Answers

Answer:

12 years old

Step-by-step explanation:

3x+5=41

3 times a number and 5 more

'more' usually means adding

41-5 =36

36/3 =12

Answer:

Equation: 41 = 3x + 5

x = 12

Step-by-step explanation:

Hello!

Betty is 5 more than 3 times Jadyn's age. Since Jadyn's age is unknown, we'll call that unknown variable x.

Betty is 5 more than 3 times x. Betty is also 41 years old.

Equation: 41 = 3x + 5

Now we have to solve for x

Solve for x:

41 = 3x + 536 = 3xx = 12

Jadyn is 12 years old.

Expand and simplify (2x−12) ^2

Answers

Answer:

[tex]\boxed{4x^{2} - 48x + 144}[/tex]

Step-by-step explanation:

Given expression:

(2x - 12)²

To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².

[Where "a and b" are the first and second term in (a - b)²]

[tex]\rightarrowtail (2x - 12)^{2}[/tex]

In this case, the first term of (2x - 12)² is "2x" and the second term is "12".

[tex]\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{First term = a = 2x; Second term = b = 12]}[/tex]

Now, simplify the expression.

[tex]\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2}[/tex]

[tex]\rightarrowtail (2x)(2x) - (4x)(12) + (12)(12)[/tex]

[tex]\rightarrowtail \boxed{4x^{2} - 48x + 144}[/tex]

solve the inequality n − 2 ≥ 4 or n − 2 ≤ 9

Answers

Answer:

n = 6 and n = 11

Step-by-step explanation:

Jerry's return took 2/5 hour longer. How long did his return take? His trip was 1 3/5 hours.

Answers

His trip took 16hours in total

Answer:

It took 4/5 of an hour or 48 minutes

Step-by-step explanation:

gary and heather each make potatoes using different recipes the table shows how much potatoes and cheese each person uses.

Answers

Answer:

What is the question? Also, your answer looks a bit wrong  1 think t should be 1 oz

Step-by-step explanation:

For every 15 oz potatoes, Garry uses 0.5 oz less cheese than Heather. So Heather's cheesy potatoes have more cheese.

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

For Gary's recipe of cheesy potatoes has 15oz of potatoes and 4oz of cheese.

Ratio of potatoes to cheese in Gary's recipe = 15/4

Heather's recipe of cheesy potatoes has 10 oz of potatoes and 3 oz of cheese.

Ratio of potatoes to cheese in Heather's recipe = 10/3

Multiplying with 1.5 in numerator and denominator

Ratio of potatoes to cheese in Heather's recipe = 15/4.5

Thus, for every 15 oz potatoes heather uses 4.5 oz of cheese.

Hence, In Heather's recipe amount of cheese is 0.5 oz more than Garry's recipe per 15 oz. of potatoes.

Learn more about ratio here:

brainly.com/question/13419413

#SPJ2

Please help me calculate the area of all the grey parts of this shape :)

Answers

Answer:

.858 cm^2

Step-by-step explanation:

Area of square - area of circle = grey corner areas

(2 * 2)  - ( pi * 1^2 ) =

4 - pi = .858 cm^2

which type of function describes her total savings after m months and why?

Answers

Answer:

A.

Step-by-step explanation:

I would advise finding the difference between 300 and 200 and 450 and 300:

[tex]300-200=100\\450-300=150[/tex]

We can eliminate C and D since she saves 100 the first month and 150 the second month.

The next step would be to find the increase every month:

[tex]\frac{Final value}{initial value}=x\\\\\frac{300}{200}=1.5 \\\\\frac{450}{300} = 1.5[/tex]

If we would write the increase as a function, we would get:

[tex]y= 1.5x[/tex]

we can check this by substituting values:

[tex]y=1.5*200\\y=300\\\\\\y=1.5*300\\y=450[/tex]

An exponential function looks like this:

[tex]y= a^x[/tex]

A linear function looks like this:

[tex]y=mx+b[/tex]

Our m is 1.5, a linear increase by 150% and our b is 0, which can be written like:

[tex]y=1.5x+0\\y=1.5x[/tex]

Therefore our function resembles a linear function more than an exponential function, eliminating answer B.

What is the surface area of the cube.
A. 409 cm²
B. 2400 cm²
C. 2004 cm²
D. 40 cm²​

Answers

Side=a=20cm

Surface area

6a^26(20)^2400(6)2400cm^2

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

The degree of the polynomial is
options 2,3,5,6

The leading coefficient of the polynomial is
options 2,3,5,6

Is there a constant term in the polynomial?
options: yes, no.

This expression can be called a blank
expression.
options: monomial, binomial, trinomial

Answers

Answer:

2

5

YES

trinomial

Step-by-step explanation:

Given expression:  [tex]5x^2+3x+6[/tex]

The degree of the polynomial is the highest exponent = 2

The leading coefficient, is the coefficient (value) before the [tex]x^2[/tex] = 5

The constant in the polynomial is the value without a variable, i.e. 6 = YES

This expression can be called a trinomial expression since it is a polynomial with exactly three terms.

Expression given:-

5x^2+3x+6

So

Degree=2Leading coefficient=5Constant yes(6)Three variables a,b,c hence trinomial

Find the center and radius of the circle represented by the equation below.
(x − 13)² + (y + 11)² = 361
-
Center:
Radius:

Answers

Answer: Center: (13, -11)

              Radius: 19

Step-by-step explanation: yeah

i need help with this i will give 100 pt

Answers

Answer:

1. Where you shop at

2. The tax in the state you live in.

Hope this helps!

Answer:

1. Where you shop at2. The tax in the state you live in.

Step-by-step explanation:

who can answer this help me bro/sis?​

Answers

Answer: 144 degrees, 136 degrees

Question 1:

The first x should be 144 because a straight line should equal 180, so you just subtract the (left angle or 36 degrees) with 180 to get the opposite angle.

Question 2:

For the second x, add the 2 interior angles and subtract it by 180 or the total sum of the interior angles.

49 + 87 = 136

180 - 136 = 44

Then follow the same steps in the first question.

180 - 44 = 136

what is the answer to this question?

Answers

Answer:

2.3 inches

Step-by-step explanation:

v = lwh (volume equals length times width times height)

5.52 = 2.4 x 1 x d
multiply l and w, which is 2.4 x 1

5.52 = 2.4 x d
divide 5.52 by 2.4

2.3 = d

Answer: 2.12

Step-by-step explanation: Okay, you first add 2.4+1, which is obviously 3.4.

Then you subtract 5.52 by 3.4.

You should get 2.12.

I hope I helped. <3

3,900,000 / 2 please help

Answers

Answer: 1,950,000

Step-by-step explanation: Divide by 2 beginning with the first digit which is 3 up to the last zero

Al and his sister share a pizza cut into six equal pieces.
Ali eats of all the pieces. His sister eats of the remaining pieces.
After both Ali and his sister have eaten, what fraction of the pizza is left?

Answers

When both Ali and his sister have eaten, the fraction of the pizza that is left will be 5/12.

How to calculate the fraction?

From the complete information, Ali eats 1/3 and his sister eats 1/4 of the pizza. Therefore, the number eaten by Ali will be:

= 1/3 × 6 = 2

The number eaten by the sister will be:

= 1/4 × 6 = 1.5

The remaining fraction will be:

=1 - (2 + 1.5)/6

= 1 - (3.5/6)

= 2.5/6

= 5/12

Learn more about fractions on:

https://brainly.com/question/78672

a. Find the mean and the median of this data:9,6,5,3,28,6,4,7.
b. Which better describes the data set, the mean or the median? Explain.

Answers

Answer:

a) organized-

3,4,5,6,6,7,9,28

median is 6

68/8=8.5

the mean is 8.5

b) the median, because there is an outlier

A machine is supposed to fill bags with an average of 19.2 ounces of candy. The manager of the candy factory wants to be sure that the machine does not consistently underfill or overfill the bags . So the manager plans to conduct a significance test at the alpha = 0.10 significance level of H_{0} / mu = 19.2; H a : mu ne19.2 where mu = the true mean amount of candy (in ounces) that the machine put in all bags filled that day. The manager takes a random sample of 75 bags of candy produced that day and weighs each bag. The sample mean weight for the bags of candy was 19.28 ounces and the sample standard deviation was 0.81 ounce.
Find the P-value.​

Answers

Answer: c. Step-by-step explanation:

Calculate the perimeter of the figure

Answers

Answer: 76 meters

Step-by-step explanation:

top side left blank = 18 because it is congruent to the bottom

left side blank is 4 + 4 + 4 (right side lengths added)

left side blank is 12

add all side lengths together for perimeter

12 + 18 + 4 + 8 + 4 + 8 + 4 + 18 = 76

76 meters

A company made 189,909 stuffed animals in 2009 in 2010 the company made 198,909 stuffed animals which statement correctly compares the number of stuffed animals that were there CHOICES : A 189,909 > 198,909 B 198,909 < 189,909 C 189,909 < 198,909 D 198,909 = 189,909 and can you please tell me what to do and the answer PLEASEEEEEE

Answers

The comparison of the number of stuffed animals in both years is an illustration of inequalities

The statement that compares the number of stuffed animals is 189909 < 198909

How to compare the stuffed animals?

The given parameters are:

Stuffed animals in 2009 = 189,909Stuffed animals in 2010 = 198,909

By comparing the number of stuffed animals in both years, we have:

198909 > 189909 or 189909 < 198909

Hence, the statement that compares the number of stuffed animals is 189909 < 198909

Read more about inequalities at:

https://brainly.com/question/11234618

May I please get help?, Thanks.​

Answers

Let's first try to figure out the whole. Looking at the number line, we can see that the shaded portion of the box goes up to 2 1/3. So, this is our first number.

Then, we need to figure out what 2 1/3 was divided by. This is pretty obvious from the groupings on the box. 2 1/3 was divided by 2/3.

2 1/3 divided by 2/3 = ?

Once again using the box and the groupings, we can see that 2/3 goes into 2 1/3 evenly 3 times, leaving 1/3 left over.

2 1/3 divided by 2/3 = 3 1/2

Correct Answer: A

Hope this helps!

What is the third angle on a triangle with angels of 30 and 60?​

Answers

Answer:

90 degrees

Step-by-step explanation:

a triangles angles add up to 180

this means that you can add all the angles together and get 180

you can first add 30 and 60 and then subtract the sum from 180

30 + 60 = 90

180 - 90 = 90

the last angle is 90 degrees

Hey ! there

Answer:

Third angle is equal to 90 degrees

Step-by-step explanation:

In the question we are given with two angles of the triangles that are 30° and 60° . And we are asked to find the third angle of triangle .

For solving this question we must have knowledge of angle sum property which says that the sum of all the angles which are present inside the triangle ( interior angles ) is equal to 180°.

Solution : -

As we know that ,

First angle = 30°

Second angle = 60°

Third angle = x (Here we are assuming third angle as x because in question it is not given and we have to find the value of third angle)

So ,

[tex] \longmapsto \qquad \: 30° + 60° + x° = 180°[/tex]

Step 1 : Adding 30° and 60° :

[tex] \longmapsto \qquad \:90° + x° = 180° [/tex]

Step 2 : Subtracting 90° from both sides :

[tex] \longmapsto \qquad \: \cancel{90°} - \cancel{90 ° } + x° = 180° - 90° \: [/tex]

On further calculations , We get :

[tex] \longmapsto \qquad \: \blue{\underline{\boxed{\frak{x° = 90°}}}}[/tex]

Henceforth , value of x that is our third angle of triangle is 90° .

Verifying : -

Now we are verifying our answer by adding all the angles of triangle and equating them with 180° because of angle sum property. So ,

Angle 1 + Angle 2 + Angle 3 = 180°

30° + 60° + 90° = 180°

90° + 90° = 180°

180° = 180°

L.H.S = R.H.S

Hence , Verified .

Therefore, our solution is correct .

#Keep Learning

The price of a machine depreciates by 10% every
year. If the machine is bought for $18000 and sold
after 3 years, what price will it fetch?

Answers




After 3 years = $13,122
Other Questions
Speech would NOT be protected by the Constitution if...it causes asignificantdisturbance ofthe peaceit is offensive to it is consideredthe majority of immoral in thesociety communityIt favorssocialist ideas. Which statement is accurate about voting? A) You can vote more than once in an election.B) One vote makes very little difference.C) It is a powerful way to be engaged in your community.D) Only wealthy people can vote in elections. You received an $8500 bonus, which was 12% of your salary. What is your annual salary with this bonus? What is the area of this figure? Generate an equivalent expression for 24x+18y by factoring out the GCF Write down the structural formula for the monomer from whichpolyvinyl chloride is derived. Express as single logarithm.1/2 log (x) - 2 log (2y) + 3 log (z) Suppose that 22% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Round to 2 places. I need help with this 1. The source of all energy2. i producer3. 2 primary consumers4. 2 secondary consumers5. 1 tertiary consumerMake a food web. Find the area - PLSS HELPP AND HURRY PLS Provide a 5-10 sentence introduction paragraph to a biography for Stephen King. Please don`t copy-paste from the internet, I`ll be able to tell. Brainliest for the best answer, thank you so much! Find the area - HURRY PLS draw Mrna strand that is complimentary to the DNA strand AATTGC solutions answer equations 65%of 320+?=686 Options are: a) 480b) 452c) 461d) 475e) none of these What are the parts of the plant? The graph of a function is shown: which of the following correctly identifies the set of outputs?a: {(5,-2), (1,-1), (-2,2), (2,5)}b: {(-2,5), (-1,1), (2,-2), (5,2)}c: {-2, -1, 2, 5}d: {-2, 1, 2, 5} PLEASE HELP What are gang-related behaviors?Select all correct answers. robbing stores with g*nshijacking and crashing airplanesprinting and passing counterfeit moneyusing su1cide bombers in public places Which of the following is NOT a condition required by the government to label food "organic"? A. contains 95% organic ingredients B. animals must have access to the outdoors C. produced without conventional pesticides D. crop must be harvested by hand Please select the best answer from the choices provided. A B C D