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zubka84 [21]
3 years ago
9

Find f(x + h) when f(x) = -3x^2 - 2x + 4.

Mathematics
1 answer:
Firdavs [7]3 years ago
3 0
You’re learning the definition of the derivative aren’t you. Just plug in x+h and do FOIL. Then multiply each term by -3 because of -3 infront of the square.
-3(x+h)^2 - 2(x+h) +4
-3[x^2 + 2xh + h^2] - 2x - 2h + 4
-3x^2 - 6xh - 3h^2 - 2x - 2h + 4
Your answer is D
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When a fair 6 sided dice is rolled, what is the probability that is will land on the five?
Mashutka [201]

Answer:

1/6

Step-by-step explanation:

Only one of the six sides is a 5 on the die. So there is a 1/6 chance that it will land on it

3 0
3 years ago
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Find the 13th term in the following arithmetic sequence <br><br> 2,5,8,11
givi [52]

Answer:

answer is 38, since she keeps deleting my things

Step-by-step explanation:

7 0
3 years ago
Explain how showing fractions with models and a number line are alike and different?
Otrada [13]
Showing fractions can be expressed in model and number line.
Using a model, you have to draw the number of parts (denominator) and shade the number of parts (numerator).

Using a number line, the line starts from 0 to the number of the denominator. You put a marker to the number that is the same as the numerator.

Both model and number line use the value of the numerator and denominator. What makes them different is how they are presented. Model can easily be understood compared to number line.
5 0
3 years ago
5) Two machines M1, M2 are used to manufacture resistors with a design
Basile [38]

Answer:

Since M1 has the higher probability of being in the desired range, we choose M1.

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.

Two machines M1, M2 are used to manufacture resistors with a design specification of 1000 ohm with 10% tolerance.

So we need the machines to be within 1000 - 0.1*1000 = 900 ohms and 1000 + 0.1*1000 = 1100 ohms.

For each machine, we need to find the probabilty of the machine being in this range. We choose the one with the higher probability.

M1:

Resistors of M1 are found to follow normal distribution with mean 1050 ohm and standard deviation of 100 ohm. This means that \mu = 1050, \sigma = 100

The probability is the pvalue of Z when X = 1100 subtracted by the pvalue of Z when X = 900. So

X = 1100

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

Z = \frac{1100 - 1050}{100}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915.

X = 900

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

Z = \frac{900 - 1050}{100}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.6915 - 0.0668 = 0.6247.

M1 has a 62.47% probability of being in the desired range.

M2:

M2 are found to follow normal distribution with mean 1000 ohm and standard deviation of 120 ohm. This means that \mu = 1000, \sigma = 120

X = 1100

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

Z = \frac{1100 - 1000}{120}

Z = 0.83

Z = 0.83 has a pvalue of 0.7967.

X = 900

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

Z = \frac{900 - 1000}{120}

Z = -0.83

Z = -0.83 has a pvalue of 0.2033

0.7967 - 0.2033 = 0.5934

M2 has a 59.34% probability of being in the desired range.

Since M1 has the higher probability of being in the desired range, we choose M1.

8 0
3 years ago
The sum of two consecutive integers is 125.find the two integers
rusak2 [61]

Answer:

62 and 63

Step-by-step explanation:

125/2= 62.5 (Middle integer or mean of the 2 integers)

That means that the integers are 62 and 63

4 0
3 years ago
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