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WITCHER [35]
2 years ago
8

Which input value produces the same output value for the two functions on the graph?

Mathematics
2 answers:
Tanzania [10]2 years ago
4 0
The question is also the same as asking what is the x value of the solution of the two functions graphed above. The solution is the point where these lines intersect. So, from the choices, the correct answer would be the second option. The input value that <span>produces the same output value for the two functions on the graph would be x=-2. Hope this answers the question.</span>
Romashka-Z-Leto [24]2 years ago
4 0

The input value produces the same output value for the two functions on the graph is \boxed{x =  - 2}. Option (b) is correct.

Further explanation:

Given:

The options are as follows,

(a). x =  - 3

(b). x =  - 2

(c). x =  - 1

(d). x = 3

Explanation:

The output values of the function are known as range and the input values on which function is defined is known as the domain of the function.

The one-to-one function is a function in which every value of the range has exactly one pre-image in the domain.

The functions are f\left( x \right){\text{ and }}g\left( x \right).

From the graph it has been observed that the line of the function intersects each other at x=- 2.

The input value produces the same output value for the two functions on the graph is \boxed{x =  - 2}. Option (b) is correct.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Relation and Function

Keywords: relations, functions, all relation are functions, all functions are relations, no relations are functions, no functions are relation, one-to-one, onto, graph representation, paired, y-value, x-values, origin.

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Answer:

D) Isosceles

Step-by-step explanation:

An isosceles triangle is the triangle that has 2 sides that are the same.

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If the 180 food calories found in a granola bar come entirely from p grams of protein, f grams of fat, and c grams of carbohydra
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f = 180 - p - c

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2 years ago
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A taut string of length 10 inches is plucked at the center. The vibration travels along the string at a constant rate of c inche
Mademuasel [1]

Answer:

The correct option is

A.  \ \dfrac{1}{c} \times \left | x - 5 \right | = 0.3

Step-by-step explanation:

The parameters given are;

The length of the string = 10 inches

The speed or rate of travel of the wave = c inches per millisecond

The position on the string from the left-most end = x

The time duration of motion of the vibration to reach x= 0.3 milliseconds

The distance covered = Speed × Time = c×0.3

Given that the string is plucked at the middle, with the vibration travelling in both directions, the point after 0.3 millisecond is x where we have;

The location on the string where it is plucked = center of the string = 10/2 = 5 inches

Distance from point of the string being plucked (the center of the string) to the left-most end = 5 inches

Therefore, on the left side of the center of the string we have;

The distance from the location of the vibration x (measured from the left most end) to the center of the string = 5 - x = -(x -5)

On the right side of the center, the distance from x is -(5 - x) = x - 5

Therefore, the the equation that can be used to find the location of the vibration after 0.3 milliseconds is \dfrac{1}{c} \times \left | x - 5 \right | = 0.3 or \left | x - 5 \right | = 0.3 \times c which gives the correct option as A

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2 years ago
Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.
ExtremeBDS [4]

Answer:

Following are the true statements

2. The factors common to 20a and 15ab are 1, 5, and a.

3. The factors common to 20a and 24b are 1, 2, and 4.

5. The GCF of the expression is 1

Step-by-step explanation:

Expression is  20a + 15ab + 24b

Now lets have a look at each of the options provided!

1. The factors common to 20a and 15ab are 1, 5, a, and b.

False

As you can see there is no b in 20a term only 1,5,a are common hence it is false.

2. The factors common to 20a and 15ab are 1, 5, and a.

True

The terms 20a and 15ab are divisible by 1,5,a hence it is true.

3. The factors common to 20a and 24b are 1, 2, and 4.

True

The terms 20a and 24b are divisible by 1,2,4 hence it is true

4. The GCF of the expression is ab.

False

20a + 15ab + 24b

As you can see ab is not common in all of the terms hence it cannot be greatest common factor

5. The GCF of the expression is 1

True

Factor of 20 are: 2,2,5,1

Factor of 15 are: 3,5,1

Factor of 24 are: 2,2,2,3,1

As you can see the only common factor among all the terms is 1 hence GCF is 1.

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