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pickupchik [31]
2 years ago
12

Suppose you make hot chocolate. It's too hot to drink, so you put it in the freezer to cool it off. If the original temperature

is 190 degrees Fahrenheit and the freezer is 0 degrees Fahrenheit, what will the temperature of the hot chocolate be after 3 minutes? (k = 0.12)
A 132.56 degrees
B 272.33 degrees
C 149.46degrees
D 241.54 degrees
Mathematics
1 answer:
Nimfa-mama [501]2 years ago
6 0
............The answer is A
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3 years ago
Consider the function f(x)=3x-1 (over)x+4 (a) At which value of x will the function not have a solution? Explain your answer. (b
Irina18 [472]

Ans(a):

Given function is f(x)=\frac{3x-1}{x+4}

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.


Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

g(x)=\frac{3x-1}{x+4}+4

We may simplify this equation but that is not compulsory.

Comparision:  

Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(e):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

8=\frac{3x-1}{x+4}+4


8-4=\frac{3x-1}{x+4}


4=\frac{3x-1}{x+4}


4(x+4)=(3x-1)


4x+16=3x-1


4x-3x=-1-16

x=-17

Hence final answer is x=-17

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3 years ago
What decimal is equivalent to each fraction?
Maksim231197 [3]
1/6 = 0.16 with a line over the 6 because it is repeating
3 0
3 years ago
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3 years ago
a line passes through point (-2,5) and has a slope of 2/3 points a (x,3) and b ( -2, y) lie on the line what is the value of y a
Tomtit [17]

Answer:

The value of y is 5 , and The value of x is - 5

Step-by-step explanation:

Given as :

The line passes through point ( - 2, 5)

The slope of line is m =  \frac{2}{3}

Equation of line is written as

y - y_1 = m × (x - x_1)

Since line passes through line ( - 2 , 5 ) and have slope \frac{2}{3}

So, y - 5 =   \frac{2}{3}  × (x + 2)

Or, 3 × ( y - 5 ) = 2 × ( x + 2 )

Or, 3 y - 15 = 2 x + 4

Or, 3 y - 2 x - 19 = 0 is the equation of line

Now points ( x , 3 ) lies on the line 3 y - 2 x - 19 = 0

So, 3 × 3 - 2 x - 19 = 0

or, 9 - 2 x - 19 = 0

or, 2 x = - 10

∴  x = - \frac{10}{2}

I.e x = - 5

Again points ( - 2 , y )  lies on the line 3 y - 2 x - 19 = 0

So, 3 × y + 2 × 2 - 19 = 0

Or,  3 × y + 4 -19 = 0

or, 3 y = 15

∴  y = \frac{15}{3}

I.e y = 5

Hence The value of y is 5 , and The value of x is - 5   .  Answer

8 0
3 years ago
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