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timofeeve [1]
2 years ago
11

A quadratic function

Mathematics
1 answer:
lukranit [14]2 years ago
3 0

Since g(x) is a transformation of f(x) and the "-3" is outside the f(x) notation, the transformation will effect the y-values of the points on the graph of f(x).

What will subtracting 3 from every y-value of every point on the graph of f(x) do to the graph?

And more specifically, what will that do to the vertex that was at the point (3,5)?

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natali 33 [55]

Answer: I can help :)

Step-by-step explanation:

3 0
2 years ago
We wish to give a 90% confidence interval for the mean value of a normally distributed random variable. We obtain a simple rando
coldgirl [10]

Answer: (9.27025,\ 11.12975)

Step-by-step explanation:

Given : Sample size : n= 9

Degree of freedom = df =n-1 =8

Sample mean : \overline{x}=10.2

sample standard deviation : s= 1.5

Significance level ; \alpha= 1-0.90=0.10

Since population standard deviation is not given , so we use t- test.

Using t-distribution table , we have

Critical value = t_{\alpha/2, df}=t_{0.05 , 8}=1.8595

Confidence interval for the population mean :

\overline{x}\pm t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}

90% confidence interval for the mean value will be :

10.2\pm (1.8595)\dfrac{1.5}{\sqrt{9}}

10.2\pm (1.8595)\dfrac{1.5}{3}

10.2\pm (1.8595)(0.5)

10.2\pm (0.92975)

(10.2-0.92975,\ 10.2+0.92975)

(9.27025,\ 11.12975)

Hence, the 90% confidence interval for the mean value= (9.27025,\ 11.12975)

6 0
3 years ago
Jack and Andrea want to create a right triangle together using values of x and y and the polynomial identity to generate Pythago
leva [86]

A right triangle can be considered as a special type because the relationship of its sides can be described using the hypotenuse formula:

c^2 = a^2 + b^2

or

c^2 = x^2 + y^2

where,

c is the hypotenuse of the triangle and is the side opposite to the 90° angle

while a and b are the sides adjacent to the 90° angle

 

In the problem statement, we are given that one of the side has a measure of 2 = x, while the hypotenuse is 5 = c, therefore calculating for y:

y^2 = c^2 – x^2

y^2 = 5^2 – 2^2

y^2 = 21

y = 4.58

 

The natural number is the number before the decimal. Therefore the answer is:

y = 4

6 0
3 years ago
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2.5 m<br> 9 m<br> 1<br> 24 m<br> Work out the perimeter.
deff fn [24]

Step-by-step explanation:

thirty six point five(36.5)

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2 years ago
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Alyssa was given a gift card for a coffee shop each morning Alyssa uses the gift card to buy one cup of coffee let a represent t
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Answer:20.00

Step-by-step explanation: next time include the table but i managed to find it anyway

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