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SVETLANKA909090 [29]
2 years ago
14

What is the discriminant of f(x)= 10 minus 2x squared minus 6x

Mathematics
1 answer:
Vlad1618 [11]2 years ago
4 0

3x2 - 6x + p

the discriminant is
b2-4ac = 36-12p
To have a double root (2 equal roots)the
root is -b/2a and the discriminant is zero:
36-12p = 0
12p = 36
p = 3

3x2 -6x + 3
3(x2 - 2x) + 3
3(x2 - 2x + 1) + 3 - 3
3(x-1)2

a = 3, h = 1, k = 0
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Answer:

Equation of the line that passes through the point (-2,7) and has a slope of zero​ is given as

y=7

Step-by-step explanation:

Equation of line is given as

y-y_1=m(x-x_1)   -----------(1)

Here

m=0 \ \ \ and \ \ \ (x_1, y_1) = (-2, 7)

Substituting values in equation (1)

y-7=0(x+2)\\y=7

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Step-by-step explanation:

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3 years ago
Use distributive property to find the product of (m+3)(m+7)
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<span>m*m+m*7+3*m+3*7
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Read 2 more answers
The distribution of resistance for resistors of a certain type is known to be normal, with 10% of all resistors having a resista
baherus [9]

Answer:

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

10% of all resistors having a resistance exceeding 10.634 ohms

This means that when X = 10.634, Z has a pvalue of 1-0.1 = 0.9. So when X = 10.634, Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{10.634 - \mu}{\sigma}

10.634 - \mu = 1.28\sigma

\mu = 10.634 - 1.28\sigma

5% having a resistance smaller than 9.7565 ohms.

This means that when X = 9.7565, Z has a pvalue of 0.05. So when X = 9.7565, Z = -1.96.

Z = \frac{X - \mu}{\sigma}

-1.96 = \frac{9.7565 - \mu}{\sigma}

9.7565 - \mu = -1.96\sigma

\mu = 9.7565 + 1.96\sigma

We also have that:

\mu = 10.634 - 1.28\sigma

So

10.634 - 1.28\sigma = 9.7565 + 1.96\sigma

1.96\sigma + 1.28\sigma = 10.645 - 9.7565

3.24\sigma = 0.8885

\sigma = \frac{0.8885}{3.24}

\sigma = 0.2742

The mean is

\mu = 10.634 - 1.28\sigma = 10 - 1.28*0.2742 = 9.65

The mean is 9.65 ohms and the standard deviation is 0.2742 ohms.

8 0
3 years ago
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