SAT College

y = x² - 4x +3
y = x - 1
If (x, y) is a solution to the system of equations
above, what is one possible value of the product
of x and y?

Answers

Answer 1

Answer:

Possible values:

0 and 12

Explanation:

To solve the system of equations, let's set y = x^2 - 4x + 3 and y = x - 1 equal to each other to first solve for x.

x^2 - 4x + 3 = x - 1 (add one to both sides)

x^2 - 4x + 4 = x (subtract x from both sides)

x^2 - 5x + 4 = 0

Next, we simply factor the expression. -1 and -4 add up to -5 and multiply to 4, so the factored expression looks like this:

(x - 1)(x - 4) = 0

x = 1 and x = 4 are both solutions to the factored equation. Now, let's plug the values back in to both equations.

(1)^2 - 4(1) + 3 = 0

(4)^2 - 4(4) + 3 = 3

(1) - 1 = 0

(4) - 1 = 3

When 1 is plugged into either equation, 0 is the value of y. For 4, 3 is the value of y. The possible values of product of x and y are below:

0 * 1 = 0

4 * 3 = 12

Brainliest, please :)

Related Questions

The sum of three numbers is 100. The second number is 2 times the third. The third number is 8 less than the first. What are the numbers?

Answers

Answer:

19, 54 and 27

Explanation:

54 is 2 times of 27 and 27-8=19

19+54+27=100

I delined one of my high school offeres, and accepted to go to discovery program, and fail the discovery program what can I do?

Answers

Answer:

I don't know

Explanation:

I don't know

sorry for it ;

I am really sorry

bona has a stated reaction to a sound of a loud < >. immediately before the loud pop, a light flashes. after several times. Bona has started reaction to the flash of lighy. What is UCS? What is CR? What is NS? What is UCR?

Answers

The UCS is known to be the loud pop

What is CR?

The CR is known to be  a light flashes

What is NS?

The NS is the reaction  of bona

What is UCR?

The UCR  flash of light.

What is an unconditioned response?

In classical conditioning, an unconditioned response is known to be that behavior that is said to be unlearned response that takes place as a sort of natural  reaction to the unconditioned stimulus.

Hence, The UCS is known to be the loud pop.

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1. A box contains six identical balls, numbered from 1 to 6. One ball is randomly selected from the box. What is the probability that the ball will show a 5?​

Answers

Answer:

The probability of ball 5=1/6

Explanation:

This is because in 1 to 6, there is only one 5 numbered ball out of the total number of balls which is 6.

Listed below are body temperatures from five different subjects measured at 8 AM and again at 12 AM. Find the values of d and s.. In general, what does
represent?
Temperature (°F) at 8 AM 98.4 98.7 97.5 97.3
97.1
Temperature (°F) at 12 AM 99.0 99.3 97.9 96.9 97.5
Let the temperature at 8 AM be the first sample, and the temperature at 12 AM be the second sample. Find the values of d and s..
d=
(Type an integer or a decimal. Do not round.)

Answers

The mean of the temperature based on the information given is -3.2.

How to calculate the mean?

The difference in the temperature based on the information will be:

98.4 - 99.0 = -0.6

98.7 - 99.3 = -0.6

97.5 - 97.9 = -0.4

97.3 - 96.9 = 0.4

97.1 - 97.5 = -0.4

Total = -1.6

The mean will be:

= -1.6/5

= -3.2

Also, the standard deviation is 2.8. This simony illustrates how spread the numbers are in the information given.

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Part A: Explain the meaning of these terms and how each relates to the scientific method.
1. Variables
2. Demand characteristic
3. Theory
4. Experiment
5. Data
6. Hypothesis
7. Case study
8. Dependent variable
9. Survey
10. Naturalistic
11. Design
12. Stimulus
13. Independent variable
14. Control group
15. Conclusion
16. random
ont describes part of the design, theory, variable or a hypothesis of

Answers

Below is the meaning of each term and how each relates to the scientific method:

Variables can be understood as a concept that expresses a value, classification or measure in scientific research.Demand characteristics relate to the needs and interest in scientific research.Theory is the set of untested arguments that justify information.Experiment is a systematic way of exploring data and information, for the accomplishment of the scientific study.Data is a set of research records that serve as the basis for a scientific study.Hypothesis is an assertion about a research question, proposing an expected result.Case study is the explanation of real phenomena through the collection and demonstration of qualitative data.Dependent variable is the factor that changes in relation to the manipulation of the independent variable.Survey is a research method to collect qualitative and quantitative data and information that will inform the research.Naturalistic is a theory about the knowledge of the world and its phenomena explained through the scientific method.Design is the scientific method whose purpose is the development of products and services to enhance the human experience.Stimulus are items of different natures used to promote a reaction of the components of a scientific study.Independent variable is the variable manipulated in a scientific study for the purposes of analysis and observation.Control group are groups that serve as parameters for the results of a research, not being manipulated, only compared.Conclusion the final part of the work, the synthesis of the considerations found through the testing of the theory and hypothesis.Random a choice from a representative sample of a larger population in a study.What is scientific methodology?

It is a set of methods and techniques structured and organized in a complex way to test a theory, find new concepts and knowledge through research, study, experimentation and analysis.

Therefore, the scientific methodology helps the development of society through the production of reliable and tested knowledge in order to assist in social and technological progress.

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Consider an experiment of tossing two fair dice and noting the outcome on each die. The whole sample space consists of 36 elements. Now, with each of these 36 elements associate values of two random variables, X and Y, such that X≡ sum of the outcomes on the two dice, Y ≡ |difference of the outcomes on the two dice|. Construct joint probability mass function.

Answers

The joint probability mass function based on the given experiment is as seen in the attached file.

How to construct a joint probability mass function?

The whole sample space consists of 36 elements, i.e.,

Ω = {ω_ij = (i, j) : i, j = 1, ....6}

Now, with each of these 36 elements associate values of two random variables, X₁ and X₂, such that;

X₁ ≡ sum of the outcomes on the two dice.

X₂ ≡ |difference of the outcomes on the two dice|

That is;

X(ω_ij) = X₁(ω_ij) + X₂(ω_ij) = (i + j, |i - j|) i, j = 1, 2, ...., 6

Then, the bivariate rv X = (X₁, X₂) has the following joint probability mass

function (empty cells mean that the pmf is equal to zero at the relevant values of the rvs).

The joint probability mass function is seen in the attached file.

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