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wel
2 years ago
14

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

Mathematics
1 answer:
Afina-wow [57]2 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

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Find the general indefinite integral. (use c for the constant of integration. )
Vlada [557]

The indefinite integral will be  \int (7x^2+8x-2)dx=\dfrac{7x^3}{3}+4x^2-2x+C)

<h3 /><h3>what is indefinite integral?</h3>

When we integrate any function without the limits then it will be an indefinite integral.

General Formulas and Concepts:

Integration Rule [Reverse Power Rule]:                                                              

\int x^ndx=\dfrac{x^{n+1}}{n+1}}+C

Integration Property [Multiplied Constant]:                                                        

\int cf(x)dx=c\int f(x)dx

Integration Property [Addition/Subtraction]:                                                      

\int [f(x)\pmg(x)]dx=\int f(x)dx\pm \intg(x)dx

[Integral] Rewrite [Integration Property - Addition/Subtraction]:

\int (7x^2+8x-2)dx=\int 7x^2dx+\int 8xdx    -\int 2dx          

[Integrals] Rewrite [Integration Property - Multiplied Constant]:  

\int (7x^2+8x-2)dx=7 \int x^2dx+ 8 \int xdx    -2\int dx            

[Integrals] Reverse Power Rule:    

\int (7x^2+8x-2)dx= 7(\dfrac{x^3}{3})+8(\dfrac{x^2}{2})-2x+C                                                            

Simplify:    

\int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C                                                                                                      

So the indefinite integral will be \int (7x^2+8x-2)dx= \dfrac{7x^3}{3}+4x^2-2x+C                

To know more about indefinite integral follow

brainly.com/question/27419605

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7 0
2 years ago
Which number does not belong? 36, 99, 9, 123
Inga [223]
9 it’s the only one single digit number and each number has a 2 digit number or higher
3 0
3 years ago
Solve for p.
Vinil7 [7]

Answer:

p = -2

Step-by-step explanation:

5p - 10 = + 4(1 + 3p)

first get rid of the bracquetes:

5p - 10 = + 4*1 + 4*3p

5p - 10 = + 4 + 12p

subtract left and right of = sign by 5p

5p -5p - 10 = + 4 + 12p -5p

0 - 10 = + 4 + (12p -5p)

subtract left and right of = sign by 4

-10 -4 = 4 -4 + ( 7p )

re arrange

7p + 0 = -14

divide left and right of = sign by 7

7/7 p = -14/7

p = -2

5 0
3 years ago
Read 2 more answers
What is the answer to the quadratic formula 5p-p-15=9p
antiseptic1488 [7]

Answer:

-3=p

Step-by-step explanation:

5p-p-15=9p

4p-15=9p

-15=5p

-3=p

8 0
3 years ago
If f(x)=x/2+8what if f(x) when x=10
Zinaida [17]

Answer:

f(10)=13

Step-by-step explanation:

f(x)=x/2+8

Let x = 10

f(10)=10/2 +8

      = 5 + 8

      = 13

5 0
3 years ago
Read 2 more answers
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