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wel
3 years ago
14

A scientist cools some water at a constant rate. The graph and table show

Mathematics
1 answer:
Afina-wow [57]3 years ago
7 0

A function assigns the values. The function for this model can be written as y=-4x+50.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

As it can be seen from the graph that the function is linear, therefore, we can write,

y = mx + c

Given two points of the graph, therefore, we can write for the first point,

30 = m(5) + c

30 = 5m + c

c = 30 - 5m

Also, for the second point,

y = mx + c

26 = 6m + c

Substitute the value of c,

26 - 6m = 30 - 5m

-6m + 5m = 30 - 26

-m = 4

m = -4

Now, substitute the value of m in any one of the equation formed above,

c = 30 - 5m

c = 30 - 5(-4)

c = 50

Hence, the function for this model can be written as y=-4x+50.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

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maks197457 [2]

Answer:

  1. (x-y^2)(x^2 +xy^2 +y^4)
  2. (a^2 +b)(a^4 -a^2b +b^2)
  3. (m^3-n)(m^6 +m^3n +n^2)
  4. (p+k^3)(p^2 -pk^3 +k^6)
  5. (a^2+b^3)(a^4 -a^2b^3 +b^6)
  6. (x-y)(x^2 +xy +y^2)(x^6 +x^3y^3 +y^6)

Step-by-step explanation:

In every case, the factorization makes use of the standard form for factoring the sum or difference of cubes:

  • a^3 +b^3 = (a +b)(a^2 -ab +b^2)
  • a^3 -b^3 = (a -b)(a^2 +ab +b^2)

1. a=x, b=y^2. Use the formula for the difference.

2. a^2 ⇒ a, b = b. Use the formula for the sum.

3. a=m^3, b=n. Use the formula for the difference.

4. a=p b=k^3. Use the formula for the sum.

5. a^2 ⇒ a, b^3 ⇒ b. Use the formula for the sum.

6. a=x^3, b=y^3. Use the formula for the difference. When you do, the first factor is the difference x^3 -y^3, which can be factored using the difference formula again with a=x, b=y.

4 0
4 years ago
Which expressions are equivalent to the expression
12345 [234]

Answer:

option. b and option c.

................

5 0
3 years ago
How many zeros are in the simplified expression 4 times 10
Zinaida [17]
The answer is c. x+1 (I'm pretty sure)
4 0
4 years ago
Simplify the expression using properties of operation -8(1 +x) + 7x
8090 [49]

Answer:

- x - 8

Step-by-step explanation:

Step 1:

- 8 ( 1 + x ) + 7x        Equation

Step 2:

- 8 - 8x + 7x        Multiply

Step 3:

- 8 - x        Combine Like Terms

Answer:

- x - 8

Hope This Helps :)

6 0
3 years ago
What is the greatest common factor (GCF) of the monomials shown above?65x^3y^4 25x^2y^4
Mamont248 [21]
2 I’m pretty sure is right
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4 years ago
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