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pentagon [3]
3 years ago
6

If the discriminant is positive how many solutions are there

Mathematics
1 answer:
ddd [48]3 years ago
7 0

Answer:

b^2-4ac>0 yields 2 real roots

Step-by-step explanation:

To find the number of real roots for a quadratic, we apply the discriminate. The discriminate is the inside portion of the square root from the quadratic formula.

• b^2-4ac>0 yields 2 real roots

• b^2-4ac=0 yields 1 real root

• [tx]b^2-4ac<0[/tex] yields no real roots

Example:

4x^2-7x+2=0 where a=4, b=-7, and c=2

b^2-4ac=(-7)^2-4(4)(2)=49-32=17.

It has 2 real roots


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Wxyz is a rectangle at what point does the diagonals intersect
Marianna [84]
The don't intersect because the lines are parallel

6 0
3 years ago
The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv
Rina8888 [55]

Answer:

14.42-1.96\frac{6.95}{\sqrt{36}}=12.150    

14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690    

So on this case the 95% confidence interval would be given by (12.150;16.690)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=14.42 represent the sample mean

\mu population mean (variable of interest)

\sigma=6.95 represent the population standard deviation

n=36 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

Now we have everything in order to replace into formula (1):

14.42-1.96\frac{6.95}{\sqrt{36}}=12.150    

14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690    

So on this case the 95% confidence interval would be given by (12.150;16.690)    

5 0
3 years ago
Find the slope of the line
alekssr [168]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
6x + 2 = 26 what is the answer​
GrogVix [38]

Answer: x=4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
25 POINTS!!! The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distanc
sineoko [7]

Answer:

Step-by-step explanation:

For plane A,

Equation that represents the relationship between time 'x' and distance 'y' is,

y = 470x

By comparing this equation with the slope-intercept form of the equation,

y = mx + b

m = slope = 470

b = 0

Here, slope represents the speed of plane A.

Therefore, speed of plane A = 470 mi per hour

For plane B,

From the given table,

Slope of the graph = \frac{y_2-y_1}{x_2-x_1}

                                = \frac{960-480}{2-1}

                                = 480

Speed of plane B = 480 miles per hour

Since, speed of plane B is more than plane A,

Plane B is flying faster.

8 0
3 years ago
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