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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

#SPJ1

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Given that the points (-1, 5) and (2, 1) are vertices of a rectangle with sides parallel to the axes, how much longer is the len
Norma-Jean [14]

Answer:

Correct choice is A

Step-by-step explanation:

Two vertices of the rectangle have coordinates A(-1, 5) and B(2, 1). If rectangle sides are parallel to the axes, then two remaining vertices have coordinates C(-1,1) and D(2,5) (see attached diagram for details).

Find the length and the width:

AC=\sqrt{(-1-(-1))^2+(5-1)^2}=4\ units,\\ \\AD=\sqrt{(2-(-1))^2+(5-5)^2}=3\ units.

Then the length is 1 unit longer than the width.

7 0
3 years ago
Help me with the last part at the bottom please it says x =
lukranit [14]

Answer:

Step-by-step explanation:

x = 0.8 + 0.2y

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3 years ago
Given that f(x)=x^2-4x-3 and g(x)= x+3/4, solve for f(g(x)) when x =9
xxMikexx [17]
The answer to the question

4 0
3 years ago
Read 2 more answers
X^2-y^2=3y in polar form
Assoli18 [71]

Answer:

Step-by-step explanation:

put x=r cos θ

y=r sin θ

r²cos²θ-r²sin²θ=3rsin θ

r²(cos²θ -sin²θ)=3r sin θ

r²cos 2θ=3rsinθ

r cos 2θ=3 sin θ

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5 0
2 years ago
A person exerts a 80 J of work by pulling a block along a horizontal surface with a
Gala2k [10]

According to the solving the displacement  of the block is:

= 40m

<h3>What does force-displacement mean?</h3>

A shift inside of an object's position is referred to as "displacement." It has a magnitude and a direction, making it a vector quantity. An arrow pointing from of the starting point to the finishing point serves as its symbol. For instance, an object's position changes if it moves from position A to position B.

<h3>Why is there a shift in the workforce?</h3>

The scalar product of displacement and force is equivalent to work. The cosine of the angle between two vectors is added to their lengths to form the scalar product of the two vectors. Work is defined as the product of force, displacement, and the sine of the angle formed by the force's and displacement's directions.

<h3>According to the given data:</h3>

The formula for work is W=F × d.

Work done  = 80J

Force = 20N

Displacement = ?

So,

W=F × d.

80 = 20 x d

d = 80/20

d = 40 m

According to the solving the displacement  of the block is:

= 40m

To know more about displacement visit:

brainly.com/question/11934397

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7 0
1 year ago
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