The formula for converting degrees Celsius to Fahrenheit is F=(9)/(5)F+32. Which expression is correctly written to convert Fahrenheit temperatures into degrees Celsius?1) C=(9)/(5)F+32
2) C=(5)/(9)F-160
3) C=(5F-160)/(9)
4) C=32F+160

Answers

Answer 1
Answer: F= (9)/(5) C+32\ /\cdot5\n \n5F=9C+160\ \ \ \Rightarrow\ \ \ 9C=5F-160\ /:9\n \nC= (5F-160)/(9) \ \ \ \Rightarrow\ \ \ Ans.\ 3)
Answer 2
Answer: the answer to your question is number 3 

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2(1/2q+1)=−3(2q−1)+8q+4 .

Answers

Answer:the answer is 7

Step-by-step explanation: 7d9wid9

Please help due in a hour 20 points

Answers

Answer:

Y= -2x + 19

Step-by-step explanation:

Answer:

y = - 2x - 19

Step-by-step explanation:

y = -2x + c

→ Substitute in the x and y coordinates

-7 = 12 + c

c = -19

The perimeter of a basketball court is 114 meters and the length is 6 meters longer than twice the width. What are the length and the width?

Answers

ok first list everything you know (what they told us) about this basketball court because this will come in handy. 

perimeter (p)=114 (they told us that this is the perimeter)
p=2w+2L  (using what we know about perimeters we can infer that this is the formula for a perimeter. this is just another way of writing p= w+L+w+L)
L=6+2w ("L" is length. they say that the length is 6 MORE, hence the plus sign, than 2 TIMES the width)

now lets put all this together. we want to find the length and width. we already have an idea of what the length is so we can plug that into our "p" formula...

p= 2w+ 2(6+2w).. now do a little simplifying 
p= 6w+12 

we know what "p" is so we can also plug that in
114= 6w+12 ..now get the variable on one side and the numbers on the other 
114-12=6w
(102)/(6)=w
17=w

Great we just found what the width is BUT we aren't finished. we have to find the length. for this you just plug "w" back into your "p" formula. 

p= 2(17)+2L
remember that p=114
114= 34+2L
get "L" to one side
114-34=2L
(80)/(2)=L
40=L

make sure you check your answers. simply plug "w" and "L" into your "p" formula if it equals 114 you did it right !!

let width be x then
L = 6 + 2x (as per the question)
therefore perimeter = 2(L+B)
P=2(6+2x+x)
P=2(6+3x)
P=12+6x
acc. to question P=114 m
144 = 12 + 6x
6x=114-12
6x=102
x=(102)/(6)
x=17
therefore width = 17 meters
then , length = 6 + 2x
where x=17 m
L=6+2(17)
L=6+34
L=40
therefore length and breadth of the basketball court is 17 m and 40 m respectively...

If f(x) = 3x + 10 and g(x) = 2x - 4, find (f+g)(x).O A. (f+g)(x) = -34 - 2x - 14
B. (f+ g)(x) = 3x - 2x + 14
O C. (f+ g)(x) = 5x + 6
D. (f+ g)(x) = 3x + 2x + 6

Help! I’m getting really confused which one it is

Answers

Answer:

O D

Step-by-step explanation:

f+g(x)

3x+10+2x-4

3x +2x+6

Suppose that c (x )equals 7 x cubed minus 70 x squared plus 13 comma 000 x is the cost of manufacturing x items. Find a production level that will minimize the average cost of making x items.

Answers

Answer:

A production level that will minimize the average cost of making x items is x=5.

Step-by-step explanation:

Given that

c(x)=7x^3-70x^2+13,000x

is the cost of manufacturing x items

To find a production level that will minimize the average cost of making x items:

The average cost per item is f(x)=(c(x))/(x)

Now  we get f(x)= 7x^2-70x+13000

f(x) is continuously differentiable for all x

Here x≥0 since it represents the number of items.,

Put x=0 in 7x^2-70x+13000

For x=0 the average cost becomes 13000

f(0)=7(0)^2-70(0)+13000

=13000

∴ f(0)=13000

To find Local extrema :

Differentiating f(x) with respect to x

f^(\prime) (x)=14x-70=0

14x=70

x=(70)/(14)

∴  x=5 gives the minimum average cost .

At x=5 the average cost is

f(5)=7(5)^2-70(5)+13000

=12825

∴ f(5)=12825 which is smaller than for x=0 is 13000

∴ f(x) is decreasing between 0 and 5 and it is increasing after 5.

Answer:

ummmm

Step-by-step explanation:

idkk

Which decimal number is 17/22 equal to?

Answers

Answer with explanation:

A decimal number is terminating , if it's denominator is of the form 2^p \text{or} 2^p * 5^q \text{or} 5^q.

The fraction or Rational number ,

                                          (17)/(22)=(17)/(11* 2)

has both 2, and 11 in the denominator,it means this decimal number is non terminating repeating.

So, (17)/(22)=0.72272727......\n\n=0.72\bar{27}

Non terminating repeating decimal.

It is equal to 0.7727272727