if x=-3 is the only x-incercept of the graph of a quadratic equation which statement best describes the discrinant of the equation

Answers

Answer 1

Answer:

The discriminant must be zero.

Step-by-step explanation:

Quadratic Equation

The standard representation of a quadratic function is:

[tex]f(x)=ax^2+bx+c[/tex]

where a,b, and c are constants.

The zeros, roots, or x-intercepts can be found by solving the equation:

[tex]ax^2+bx+c=0[/tex]

We can use the quadratic formula to find the roots:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Note this formula gives us two different roots if the square root is non-zero.

The only way there can be only one x-intercept is because the square root is zero.

If the square root is zero, then

[tex]b^2-4ac =0[/tex]

The expression is called the discriminant.

Thus, if x=-3 is the only x-intercept of the graph of a quadratic function, then the discriminant must be zero.


Related Questions

If (4,-9) is rotated 270° about the origin the new point would be :

A. (-9,-4)
B. (9, 4)
C. (-4,9)
D. (-9,4)

Answers

The correct answer is c -4,9

what is the gcf of x5 and x7

Answers

The GCF to x5 and x7 is X I think

Answer:

Step-by-step explanation:

the gcf of that is X

For the function h (2) = 9+ 6x , what is the domain of function h if the range is
{-12, -3, 15, 24}?

Answers

Answer:

x = 1/6 (h(2) - 9), h(2) element R

-21x^2+35x=0
Solve for x

Answers

Answer:

Step-by-step explanation:

exact form: x=63/5

Please help this one will give you extra points

Answers

THE ANSWER IS B

A: 1/3*6,000,000 does NOT equal 18,000,000

C: However, 2/5*6,000,000 does equal 2, yet, $2.4*10^3 is a FALSE STATEMENT and it doesn't make sense

D: Not ALL statements are correct

I think the answer is B

Which of the following fraction is an equivalent fraction for 2/7?


1. 8/11

2. 10/28

3. 6/21

4. 4/7

Answers

Answer:

6/21

Step-by-step explanation:

6/21 can be divided by 3 to equal 2/7

Answer:

the answer is c 6/21

Step-by-step explanation:

can i please have brainiest

Look at the incomplete multiplication problem below.

638 times 56 = 3828. 3828 + question mark = blank

What value is missing?
31,500
31,900
35,280
35,728

Answers

Answer:

B

Step-by-step explanation:

Camille has no more than $20.00 to spend each week for lunch and bus
fare. Lunch costs $3.00 each day, and bus fare is $0.75 each ride. Write an inequality for
this situation. Can Camille buy lunch 5 times and ride the bus 8 times in one week?

Answers

Answer:

No, because 5 x 3 is 15 and 8 x .75 is 6.So you add 6 and 15 then you get 21 so she would need an extra dollar

A quality control manager is inspecting four digital scales to see if they accurately reflect a weight of 0 ounces. The table shows the weight displayed on four empty scales.

Empty Scale Weight Displays
Scale 1
–1 ounce
Scale 2
–2 ounces
Scale 3
0 ounces
Scale 4
–1 ounce

What is the average error in the scale displays?

Answers

Answer:

-1 Ounces

Hope this was helpful!

Answer:

-1 ounce

Step-by-step explanation:

A primatologist believes that rhesus monkeys possess curiosity. She reasons that, if this is true, then they should prefer novel stimulation to repetitive stimulation. An experiment is conducted in which 12 rhesus monkeys are randomly selected from the university colony and taught to press two bars. Pressing bar 1 always produces the same sound, whereas bar 2 produces a novel sound each time it is pressed. After learning to press the bars, the monkeys are tested for 15 minutes, during which they have free access to both bars. The number of presses on each bar during the 15 minutes is recorded. The resulting data are as follows:What is the alternative hypothesis? In this case, assume a nondirectional hypothesis is appropriate because there is insufficient empirical basis to warrant a directional hypothesis. What is the null hypothesis? Using ? = 0.052 tail, what is your conclusion? What error might you be making by your conclusion in part c?
Subject Bar 1 Bar 2
1 20 40
2 18 25
3 24 38
4 14 27
5 5 31
6 26 21
7 15 32
8 29 38
9 15 25
10 9 18

Answers

Answer:

It is statistically significant that mean of difference scores is different from 0

Step-by-step explanation:

Subject    Bar 1      Bar 2      Difference

1                 20          40            20

2                 18          25             7

3                 24          38            14

4                 14           27            13

5                 5            31             29

6                 26          21             -5

7                 15           32            17

8                 29          38            9

9                 15           25           10

10                9             18           9

Mean of difference =[tex]\frac{Sum}{10}=\frac{123}{10}=12.3[/tex]

Standard deviation s =[tex]\sqrt{\frac{(x_i-\bar{x})^2}{n}}=8.93[/tex]

Null Hypothesis : mean of difference scores is 0 : [tex]H_0:\mu=0[/tex]

Alternate Hypothesis : mean of difference scores is different from 0 : [tex]H_a:\mu \neq 0[/tex]

We will use t test for unpaired

[tex]t = \frac{x-\mu}{\sqrt{\frac{s^2}{n-1}}}\\t = \frac{12.3-0}{\sqrt{\frac{8.93^2}{10-1}}}\\t=4.13[/tex]

Level of significance (two tailed) =[tex]\alpha = 0.05[/tex]

Degree of freedom = n-1 = 10-1 =9

Using calculator

The p-value is .002559.

p value < α

So ,we reject null hypothesis

So, It is statistically significant that mean of difference scores is different from 0

A store pays $122 for a tennis racquet. If the store marks the tennis racquet up 30%, how much are they selling the racquet for?

Answers

Answer:

$158.60 for the racquet

I bought 5 1/2 yards of fabric. I used 2/3 of the fabric to make curtains. How much fabric did i use?

Answers

Answer:

you used 4 5/6

Step-by-step explanation:

5 1/2 and 2/3 need to be equivalent so change them to 5 3/6 and 4/6.

then subtract :)

hope this helps doll! :3

Which expression is equivalent to (fa)(5)?

Answers

Answer:

ylyiky lio

Step-by-step explanation:

Mr. paulson has been on a train for 4 hours and traveled 320 miles. At this rate, how far will he traveled in 5 hours?

Answers

Answer:

at 5 hours he will have traveled 400 mi

Step-by-step explanation:

320÷4= 80

320=4, then 400=5

hope this helps

What is the solution for this inequality?
8x<-32

Answers

Answer:

8x<-32

x<4

Step-by-step explanation:

divide both of these numbers by 8

Step-by-step explanation:

rhrufh38299917489xjqgs8cjrnjci

Prime factorization of 60?

6, or 15,or 3,or 9



please help!!

Answers

Answer:

The real Prime factors of 60 are 2, 3 and 5 so the answer should be 3

an expression equivalent to –8(2s–5)–4

Answers

Answer:

The answer:-16s+40-4

Answer:

-4 x (4s - 9)

Step-by-step explanation:

what is the decimal value of 3/5​

Answers

Answer: 0.6

Explanation: it is fairly easy, a fraction is always division so... all you need to do is 3 divided by 5, 3/5=0.6

Answer:

0.6

Step-by-step explanation:

Just divide 3 by 5. Fractions are also basically a division problem.

Hope this helps! :)

Jack has let out 40 m of kite string when he observes that his kite is directly above Jill. If Jack is 25 m from Jill, how high is the kite?​

Answers

Answer:

Use this formula:

A^2 + B^2 = C^2

40 is the hypotenuse of the triangle:

 

A^2 + 25^2 = 40^2

A=31.2 meters (Approx)

In a lab a 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio
of the amount of the 30% solution to the amount of 5% solution used to create the 10% solution?
1.3
1:4
1.5
1.6
Done
Intro

Answers

Answer:

1:4

Step-by-step explanation:

If x is the volume of 30% acid solution, and y is the volume of 5% acid solution, then:

0.30x + 0.05y = 0.10(x + y)

0.30x + 0.05y = 0.10x + 0.10y

0.20x = 0.05y

x/y = 0.05/0.20

x/y = 1/4

can some one help me please

Answers

Angle addition postulate. Hope this helps!

If you do this question I will give you brainlest I know the right Awnser just want to test you help me out and I’ll give you brainlest and points

Answers

3% Although I'm probably wrong.

Answer:

13 - 10 = 33 & 13The proportion, x = 23.

Step-by-step explanation:

13 (i.e 100%) - 10 (i.e 77%) = 3 (i.e 23%)difference is 3 & original amount is 13The proportion, x = 23%

3 plus 2 =
wzsxdcfgvbhjnkrdfvgbh

Answers

Answer:

5

Step-by-step explanation:

three plus two equals 5

Answer:

5

Step-by-step explanation:

3+2=5

:3

y - 5 = 1/10 (x – 10)


How do you rewrite the equation in slope-intercept form?

Answers

you just have to add the five to both sides and then combine like terms
ignore the top equation

Answer.

Y=|10x-100|+5

I will mark u as brainlest if you help me lots of points the one I choose was probably not right it was just right there

Answers

Answer:

2/5

Step-by-step explanation:

Why? Because probability is just possible values over total values, there is 4 red sections and 10 total sections, so the probability is 4/10 = 2/5.

Answer:

[tex]the \: poberbility \:is = \: \frac{number \: of \: red}{total \: number \: of \: color} = \frac{4}{10} = \frac{2}{5} [/tex]

At the produce store you can buy 4 bags of bananas for $29.88. How much would it cost if u were to buy 6 bags?

Answers

Answer:

44.82

Step-by-step explanation:

29.88 divided by 4 is 7.47 times 6 is 44.82

Answer:

44.82$

Step-by-step explanation:

4:29.88

6:x

4x=179.28

x=44.82$

Conversion Formulas
K = Cº + 273

Answers

Her answer is correct I hope that helps

WHAT IS 6 MULTIPLIED 6 + 2 +1

Answers

Answer: 108? I think haha-

Answer:

39

Step-by-step explanation:

6x6 is 36, and plus 3 it equals 38.

Add one.

39.

PLEASE ANSWER I WILL MARK BRAINLEIST


The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units, of the other leg of the triangle?

Group of answer choices

3

Square root of 21

Square root of 29

7

Answers

Answer:

It is the Square root of 21

Step-by-step explanation:

Answer is square root of 21

How: a square+b square=C square
C=Hypotenuse
A=leg
5^5-2^2 =21
Then it’s the square root of 21

The ratio black to blue bags is 5 to3 if there is 10 black bags how many blue bags?

Answers

Answer: 6

Step-by-step explanation:

Other Questions
The area of a square garden is approximately 125 square feet. To the nearest foot, what is the length of the garden if the sun suddenly dissapear what will happen to all humans? HELP ME PLEASE!!! I NEED HELP!!!! Click on the convex polygon. Enter your answer in the provided box.A sample of chlorine gas is confined in a 7.17-L container at 491 torr and 37.0C.How many moles of gas are in the sample?mol Cl2 Look at the diagram. Which of the following is another name amaging a world without plants. will it be different world. think and write two lines on this Which of the following changes demonstrates a chemical property? *O A substance breaks in halfA substance combusts (burns)O A hammer bounces off a substanceO A substance floats in water ) The price of a watch is marked Rs 11,250. When it is sold allowing 20% discount,20% profit is made. By what percent is the discount to be reduced to increase theprofit by 3%? Another way to write (3x-4)^2? This image uses lines to draw your eyes in several directions in this piece. Which of the following is the most dominant line usage?A.the vertical lines of the treesB.the zigzag lines of the leavesC.the dotted lines on the roadD.the curved lines of the park benchPLS GET IT RIGHT THIS IS IMPORTANT please help What contributions did Charlemagne make to medieval Europe? Choose four correct answers.He created a standard currency.He expanded education by making it more available to people.He helped the Roman Catholic Church grow.He created a new religion and forced people to follow its rules.He reunited the eastern and western parts of the Roman Empire.He established a standard for written laws. i will give u brainliest Why should Collge be free If the speed limit of a highway is 60 mph, which car exceeded the speed limit? Assume all the cars were traveling at a constant speed. a car that traveled 183 miles in 3 hours a car that traveled 236 miles in 4 hours a car that traveled 290 miles in 5 hours a car that traveled 342 miles in 6 hours 1/8 as a decimal show how to do it Two real numbers are defined as x=0.555555555555555....Y=0.4564556455564555..Which is rational and which is irrational An airplane flying at 119 m/s is accelerated uniformly at the rate of 0.5 m/s2 for 10seconds. What is its final speed? 5z-12z-10=18+7zIm not sure how to do this What does the plant use the glucose for