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ehidna [41]
1 year ago
5

Which is the graph of fx x2 2x 3

Mathematics
1 answer:
photoshop1234 [79]1 year ago
7 0

In the picture we can see the graph represents of the function f(x)=x²-2x+3 that is curve graph.

Given that,

We have to find the graph represents the function f(x)=x²-2x+3.

We know that,

The quadratic function is f(x)=x²-2x+3.

This is a vertical parabola open downward

The vertex is a maximum

We know,

A vertical parabola's equation in vertex form is equal to

y= a(x-h)²+k

where

a is a coefficient

(h,k) is the vertex

Here

a=1

(h,k)=(0,3)  is vertex

The y-intercept is the point (0,3) is value of y when the value of x is equal to zero (is the same point that the vertex)

The x-intercepts are the points is values of x when the value of y is equal to zero  

Therefore, In the picture we can see the graph represents of the function f(x)=x²-2x+3.

To learn more about function visit: brainly.com/question/9554035

#SPJ4

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A production line operation is designed to fill cartons with laundry detergent to a mean weight of ounces. A sample of cartons i
Minchanka [31]

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether under filling or overfilling is occurring. If the sample data lead to a conclusion of under filling or overfilling, the production line will be shut down and adjusted to obtain proper filling.

A. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.

B. Comment on the conclusion and the decision when H0 cannot be rejected.

C. Comment on the conclusion and the decision when H0 can be rejected.

Solution:

A) We would set up the hypothesis. Under filling or over filling means two ways. Thus, it is a two tailed test

For null hypothesis,

H0: μ = 32

For alternative hypothesis,

H1: μ ≠ 32

B) if H0 cannot be rejected, it means that there was insufficient evidence to reject it. Thus, it would be concluded that the production line operation filled the cartons with laundry detergent to a mean weight of 32 ounces.

C) There was sufficient evidence to reject the null hypothesis. Thus, it can be concluded that there was under filling or over filling.

6 0
3 years ago
Solve by completing the square: 5x2 + 20x + 32 = 0
igor_vitrenko [27]
Your answer is no solution (because a negative square root doesn't exist)
first, you divide all sides by five and then take b, half it then square it

5 0
3 years ago
"In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-
creativ13 [48]

Answer:

For this case we want to find this probability:

P(10

And we can use the z score formula to see how many deviation we are within the mean and we got:

z = \frac{10-37}{9}=-3

z = \frac{64-37}{9}=3

And for this case we know that within 3 deviation from the mean we have 99.7% of the values and that's the answer for this case.

Step-by-step explanation:

Previous concepts

The empirical rule, also known as three-sigma rule or 68-95-99.7 rule, "is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)".

Let X the random variable who represent the number of phone calls answered.

From the problem we have the mean and the standard deviation for the random variable X. E(X)=37, Sd(X)=9

So we can assume \mu=37 , \sigma=9

On this case in order to check if the random variable X follows a normal distribution we can use the empirical rule that states the following:

• The probability of obtain values within one deviation from the mean is 0.68

• The probability of obtain values within two deviation's from the mean is 0.95

• The probability of obtain values within three deviation's from the mean is 0.997

Solution to the problem

For this case we want to find this probability:

P(10

And we can use the z score formula to see how many deviation we are within the mean and we got:

z = \frac{10-37}{9}=-3

z = \frac{64-37}{9}=3

And for this case we know that within 3 deviation from the mean we have 99.7% of the values and that's the answer for this case.

3 0
3 years ago
Halp pleaseee? list all possible rational roots for the equation 3x^4-5x^2+25=0 thanks :))
zloy xaker [14]
Write 3 four times and multiple them together. Then, write out 5 two times and multiple it together. Whatever those two answers are, subtract them

7 0
3 years ago
Read 2 more answers
Please answer CORRECTLY !! Will mark brainliest !!!!!
Simora [160]

Answer:

x=5

Step-by-step explanation:

We want the x value when the output is 3

This occurs at -7 and at 5

We want the x value other than -7 so x=5

4 0
3 years ago
Read 2 more answers
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