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Fofino [41]
3 years ago
5

What constitutes a function

Mathematics
1 answer:
Mars2501 [29]3 years ago
4 0

Answer:

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output...

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FREE BRAINLIEST!! ill also answer questions that you have posted if you answer correctly!!!! (61pts)
Evgesh-ka [11]

Answer:

Can I get the pdf?

Step-by-step explanation:

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2 years ago
34
Vadim26 [7]

Answer:

They are similar by the definition of similarity in terms of a dilation

Step-by-step explanation:

The given vertices of triangle ΔABC are;

A(1, 5), B(3, 9), and C(5, 3)

The vertices of triangle ΔDEF are;

D(-3, 3), E(-2, 5), and F(-1, 2)

Therefore, we get;

The length of segment, \overline{AB} = √((9 - 5)² + (3 - 1)²) = 2·√5

The length of segment, \overline{BC} = √((9 - 3)² + (3 - 5)²) = 2·√10

The length of segment, \overline{AC} = √((5 - 3)² + (1 - 5)²) = 2·√5

The length of segment, \overline{DE} = √((5 - 3)² + (-2 - (-3))²) = √5

The length of segment, \overline{EF} = √((2 - 5)² + (-1 - (-2))²) = √10

The length of segment, \overline{DF} = √((2 - 3)² + (-1 - (-3))²) = √5

∴ \overline{AB}/\overline{DE} = 2·√5/(√5) = 2

\overline{BC}/\overline{EF} = 2·√10/(√10) = 2

\overline{AC}/\overline{DF} = 2·√5/(√5) = 2

The ratio of their corresponding sides are equal and therefore;

ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.

4 0
3 years ago
The Hu family goes out for lunch, and the price of the meal is $51. The sales tax on the meal is 6%, and the family also leaves
Leni [432]

Answer:

2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of
cestrela7 [59]

The amount of gas consumed by first and second car were 20 gallons and 15 gallons respectively.

<em><u>Explanation</u></em>

Suppose,  x gallons of gas were consumed by the first car.

As the total gas consumption in one week is 35 gallons, so the amount of gas consumed by second car will be:  (35-x) gallons.

The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas.

So, the <u>distance traveled by the first car</u> in x gallons of gas =35x miles and the <u>distance traveled by the second car</u> in (35-x) gallons of gas =15(35-x) miles.

Given that, the two cars went a <u>combined total of 925 miles</u>. So, the equation will be.....

35x+15(35-x)=925\\ \\ 35x+525-15x=925\\ \\ 20x=925-525=400\\ \\ x=\frac{400}{20}=20

So, the amount of gas consumed by the first car is 20 gallons and the amount of gas consumed by the second car is: (35 - 20) = 15 gallons.

3 0
3 years ago
WILL GIVE BRAINLIEST ASAPP!!!!!
Mademuasel [1]

Step-by-step explanation:

Applying rules of exponents to solve the given problems;

    4^3 x 4^5 =

    5^8 ÷ 5^-2 =

     (6^3 ) ^ 4 =

For these problems, the applicable rules of exponents are;

      aᵇ x aⁿ  = aᵇ⁺ⁿ

      aᵇ  ÷ aⁿ = aᵇ⁻ⁿ

       (aᵇ)ˣ  = aᵇˣ

For the first problem; 4³ x 4⁵

     aᵇ x aⁿ  = aᵇ⁺ⁿ

      4³ x 4⁵  = 4³⁺⁵   = 4⁸

   Second problem: aᵇ  ÷ aⁿ = aᵇ⁻ⁿ

      5⁸ ÷ 5⁻²  = 5⁸⁻⁽⁻²⁾  = 5⁸⁺²  = 5¹⁰

    Third problem;  (aᵇ)ˣ  = aᵇˣ

       (6³)⁴  = 6³ˣ⁴  = 6¹²

5 0
3 years ago
Read 2 more answers
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