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

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.

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?

Please help this one will give you extra points

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

Prime factorization of 60?

6, or 15,or 3,or 9



please help!!

3 plus 2 =
wzsxdcfgvbhjnkrdfvgbh

what is the decimal value of 3/5​

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

WHAT IS 6 MULTIPLIED 6 + 2 +1

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

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

y - 5 = 1/10 (x – 10)


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

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?​

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)

what is the gcf of x5 and x7

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

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

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

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?

can some one help me please

Conversion Formulas
K = Cº + 273

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?

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?

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?

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

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


1. 8/11

2. 10/28

3. 6/21

4. 4/7

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

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

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

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

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