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andrezito [222]
2 years ago
13

What is the relationship between the discriminant of a quadratic and its graph?

Mathematics
1 answer:
faltersainse [42]2 years ago
4 0

Answer:

In a quadratic equation of the shape:

y = a*x^2 + b*x + c

we hate that the discriminant is equal to:

D =  b^2 - 4*a*c

This thing appears in the Bhaskara's formula for the roots of the quadratic equation:

x = \frac{-b +-\sqrt{b^2 - 4ac} }{2a}

You can see that the determinant is inside a square root, this means that if D is smaller than zero we will have imaginary roots (the graph never touches the x-axis)

If D = 0, the square root term dissapear, and this implies that both roots of the equation are the same, this means that the graph touches the x axis in only one point, wich coincides with the minimum/maximum of the graph)

If D > 0 we have two different roots, so the graph touches the x-axis in two different points.

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I need help with how to reason it
artcher [175]

Answer:

X=80

Step-by-step explanation:

As 100⁰ is Opposite to B and AD and EH Are PARALLEL so B=100⁰

180-100

=80⁰

<h2>MARK ME BRAINLIEST </h2>
4 0
2 years ago
What is length and what is width.
sukhopar [10]

Answer:

x = 14

Step-by-step explanation:

because 4×8 is 32

if x = 14

14 - 10 = 4

14 - 6 = 8

8 x 4 = 32

8 0
3 years ago
Farmers often sell fruits and vegetables at farmers’ markets during the summer. Each tomato stand at the Bentonville farmers’ ma
olga nikolaevna [1]

Answer:

the probability that all tomatoes are sold is  0.919 (91.9%)

Step-by-step explanation:

since the random variable X= number of tomatoes that are demanded,  is normally distributed we can make the standard random variable Z such that:

Z=(X-μ)/σ = (83 - 125)/30 = -1.4

where μ= expected value of X= mean of X (since X is normally distributed)  , σ=standard deviation of X

then all tomatoes are sold if the demand surpasses 83 tomatos , therefore

P(X>83) = P(Z>-1.4) = 1- P(Z≤-1.4)

from tables of standard normal distribution →P(Z≤-1.4)=0.081 , therefore

P(X>83) = 1- P(Z≤-1.4)  = 1 - 0.081 = 0.919 (91.9%)

thus the probability that all tomatoes are sold is  0.919 (91.9%)

6 0
3 years ago
An american roulette wheel has 38 slots, of which 18 are red, 18 are black, and 2 are green (0 and 00). if you spin the wheel 38
Alexeev081 [22]
Intuitively, one would think the ball would land in the green spot 2 out of the 38 times, since there are 38 slots and 2 are green.

The probability that it lands in a green section is 2/38.  Multiplying this by the number of times the experiment is performed, we get (2/38)(38) = 2.
3 0
3 years ago
PLEASEEEE HELPPPP<br><br><br><br><br><br> -1+(-5) =<br><br><br><br><br><br>​
valentina_108 [34]

Answer:

-6

Step-by-step explanation:

-1+(-5)

You are moving down the numberline, then subtracting again because of the negative sign. -(1+5) is how I like to think of it.

So, 1+5=6, and you add the negative sign. -1+(-5)=-6.

6 0
2 years ago
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