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.

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please help!!

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2. 10/28

3. 6/21

4. 4/7

PLEASE ANSWER I WILL MARK BRAINLEIST


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Empty Scale Weight Displays
Scale 1
–1 ounce
Scale 2
–2 ounces
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–1 ounce

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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

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

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C. (-4,9)
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What value is missing?
31,500
31,900
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Please help this one will give you extra points

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can some one help me please

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?
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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

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1.3
1:4
1.5
1.6
Done
Intro

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