Solve each of the quadratic equations 3x=0.5x2

The equation C = 5 9 F − 160 9 gives the relation between temperature readings in Celsius and Fahrenheit.

Pavel [41]

Step-by-step explanation:

The question is wrong. The correct equation is :

$C=\frac{5}{9}F-\frac{160}{9}$

We know that the equation gives the relation between temperature readings in Celsius and Fahrenheit.

Therefore, giving that we know the value in Fahrenheit ''F'' we can find the reading in Celsius ''C''. This define a function C(F) that depends of the variable ''F''.

So for the incise (a) we answer Yes, C is a function of F.

For (b) we need to find the mathematical domain of this function. Giving that we haven't got any mathematical restriction, the mathematical domain of the function are all real numbers.

Dom (C) = ( - ∞ , + ∞)

For (c) we know that the water in liquid state and at normal atmospheric pressure exists between 0 and 100 Celsius.

Therefore the range will be

Rang (C) = (0,100)

Now, we need to find the domain for this range. We do this by equaliting and finding the value for the variable ''F'' :

For C = 0 :

$0=\frac{5}{9}F-\frac{160}{9}$ ⇒ $F=32$

And for C = 100 :

$100=\frac{5}{9}F-\frac{160}{9}$ ⇒ $F=212$

Therefore, the domain as relating temperatures of water in its liquid state is

Dom (C) = (32,212)

For (d) we only need to replace in the equation by $F=71$ and find the value of C ⇒

$C=\frac{5}{9}F-\frac{160}{9}$ ⇒

$C=(\frac{5}{9})(71)-\frac{160}{9}$

$C=\frac{65}{3}$ ≅ 21.67

C(71) = 21.67 °C

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Brianna’s teacher asks her which of these three expressions are equivalent to each other. Expression A: 9x - 3x - 4 Expression B

kvasek [131]

Brianna's thinking is wrong because obviously all of the expressions are going to equal -4 when x is 0 because -4 would be the only value. Also, if x was a different number, the expressions wouldn't be equivalent. The equivalent expressions are A. 9x - 3x - 4, and C. 5x + x - 4. This is because when both are simplified, they equal 6x - 4.

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Maya chatted online with all her friends for 2/3 of an hour on Saturday and 1/4 of an hour on sunday. During that time period, s

Kamila [148]

Time spent with paul : 1/8 h
Total time spent chatting with friends: 2/3h+1/4h=11/12 h

The fraction of the time she spent with paul is (time spent with paul)/(total time spent chatting)

hence the fraction spent with paul is (1/8)/(11/12)=3/11

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Mr. Torres took his students to the dolphin show. Each row in the stadium had 11 seats. One adult sat at each end of a row, and

Katena32 [7]

Answer:

3

Step-by-step explanation:

The given data shows that only 1 row was in use. We also know that Mr. Torres is an adult. So for the ease, lets use A for Adult and S for student.

The seating must fulfill the requirements that 4 students must be between adults such that it would be "A-S-S-S-S-A"

On a row of 11 seats, this should be the searing arrangements.

A-S-S-S-S-A-S-S-S-S-A ( for 1 row).

Mr. Torres could be any A .

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To assess surface space of the glass panel on the front of a new handheld device your engineering team is building, find the are

Allisa [31]

Answer:

area of glass panel 39 inchea square

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