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3 years ago

Which of the following is true of the discriminant for the graph below?

Mathematics

1 answer:

Sonbull [250]3 years ago

7 0

Answer:

Option C. It is zero

Step-by-step explanation:

The graph represents a quadratic equation

The quadratic equation has the form ⇒a x² + b x + c

The discriminant of the quadratic equation is D = b² - 4ac

From the discriminant of the quadratic equation, we can know the type of roots of the quadratic equation.

If D > 0 ⇒ Two real roots.
If D = 0 ⇒ one real roots
If D < 0 ⇒ Two imaginary roots.

The roots of the quadratic equation are the x-intercepts of the function.

As shown at the figure, the quadratic equation has only one point of intersection with the x-axis

So, the function has only one root ⇒ D = 0

So, the discriminant of the quadratic equation = 0

The answer is option C. It is zero

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Answer:

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Step-by-step explanation:

Is 2 213 supposed to read 2 1/3? First calculate the volume of the box

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Now divide the V_box by V_cube:

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Aleks04 [339]

Answer:

The minimum sample size that can be taken is of 14 dogs.

Step-by-step explanation:

The formula for calculating the minimum sample size to estimate a population mean is given by:

$n=\frac{z^{2}\sigma^{2}}{e^{2}}$

The first step is obtaining the values we're going to use to replace in the formula.

Since we want to be 95% confident, $1-\alpha=0.95 \Rightarrow \alpha=0.05$ .

Therefore we look for the critical value $z_{\alpha/2}=1.96$ .

Then we calculate the variance:

$\sigma = 3.7 \Rightarrow \sigma^{2}=13.69$

And we have that:

$e=2 \Rightarrow e^{2}=4$

Now we replace in the formula with the values we've just obtained:

$n=\frac{1.96^{2}*13.69}{4}=13.1479\approx 14$

Therefore the minimum sample size that can be taken to guarantee that the sample mean is within 2 inches of the population mean is of 14 dogs.

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3 years ago

Please Can Someone Tell Me The Area??

torisob [31]

Answer:

66 I am pretty sure

Step-by-step explanation:

6 x 2 divided by 2 = 6

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add them together

60 + 6 = 66

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3 years ago