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Vinil7 [7]
3 years ago
15

Find the y-intercept and the axis of symmetry of f(x)=ax2+2ax+3.

Mathematics
1 answer:
Sonbull [250]3 years ago
7 0

Answer:

y= cx^2 +dx +e

We see that:

c = a, d= 2a , e= 3

The axis of symmetry is defined by this formula:

X= - \frac{d}{2c}

And replacing we got:

X= -\frac{2a}{2a}= -1

Thn the axis of symmetry would be X=-1

Step-by-step explanation:

For this case we have the following function:

y = ax^2 +2ax +3

If we compare this function with the general expression of a quadratic formula given by:

y= cx^2 +dx +e

We see that:

c = a, d= 2a , e= 3

The axis of symmetry is defined by this formula:

X= - \frac{d}{2c}

And replacing we got:

X= -\frac{2a}{2a}= -1

Thn the axis of symmetry would be X=-1

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No links plz and real answers
bearhunter [10]

Answer:

80

Step-by-step explanation:

x³ + x²

4³ + 4²

64 + 16

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3 years ago
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What is the domain of the function a^x
asambeis [7]

Answer:

The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

Step-by-step explanation:

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Select one: <br> A. Supplementary<br> B. Vertical<br> C. Complementary<br> D. Acute
Rom4ik [11]

Shouldnt there be a picture or something?

5 0
3 years ago
Men consume on average 15 grams of protein a day. Assume a normal distribution with a standard deviation of 3 grams. A sample of
tatyana61 [14]

Using the normal distribution, there is a 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

For this problem, the parameters are given as follows:

\mu = 15, \sigma = 3, n = 40, s = \frac{3}{\sqrt{40}} = 0.4743

The probability is the <u>p-value of Z when X = 16 subtracted by the p-value of Z when X = 15</u>, hence:

X = 16:

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

By the Central Limit Theorem

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

Z = \frac{16 - 15}{0.4743}

Z = 2.11

Z = 2.11 has a p-value of 0.9826.

X = 15:

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

Z = \frac{15 - 15}{0.4743}

Z = 0

Z = 0 has a p-value of 0.5.

0.9826 - 0.5 = 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

4 0
2 years ago
In the figure, a line was constructed through point R perpendicular to line L. If EF = 20, then what is the length of ES?
valkas [14]
ES is half of EF since a chord is bisected by the radius. ES = 10
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