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Mashutka [201]
2 years ago
15

CALC BC HELPPP!!!??? 100PTS!!!

Mathematics
1 answer:
lyudmila [28]2 years ago
8 0

the assumption being that "x" is a plain variable whilst "y" is a function, that matters because the chain rule would be needed for a function, not so for a plain variable.

4x^2+4x+xy=5\implies 8x+4+\stackrel{\textit{product rule}}{\left( 1\cdot y+x\cdot \cfrac{dy}{dx} \right)}=0 \\\\\\ x\cfrac{dy}{dx}=-8x-4-y\implies \cfrac{dy}{dx}=\cfrac{-8x-4-y}{x}

now, we know that y(5) = -23, which is another way of saying that when x = 5, y = -23, but we already knew that, we can get that by simply plugging it into the equation hmmm y'(5), well

\left. \cfrac{dy}{dx}=\cfrac{-8x-4-y}{x} \right|_{\stackrel{x=5~}{\textit{\tiny y=-23}}}\implies \cfrac{-8(5)-4-(-23)}{5}\implies \cfrac{-21}{5}

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Which expression has a value of 7/12 ? 7/8 + 4 , 1/3 + 1/4 , 6/8 + 1/4 , 2 1/12 + 5 1/12
vazorg [7]

Answer:

\frac{1}{3}  +  \frac{1}{4}

Step-by-step explanation:

We want to find an expression that has a value of

\frac{7}{12}

First option:

\frac{7}{8}  + 4 =  \frac{7}{8}  +  \frac{32}{8}  =  \frac{39}{8}  \ne \frac{7}{12}

Second option:

\frac{1}{3}  +  \frac{1}{4}  =  \frac{4}{12}  +  \frac{3}{12}  =  \frac{7}{12}

Correct option

Third option

\frac{6}{8}  +  \frac{1}{4}  =  \frac{3}{4}  +  \frac{1}{4}  = 1

Fourth option:

2 \frac{1}{12}  + 5 \frac{1}{12}  =  \frac{43}{6}

5 0
3 years ago
The Thomas family went for a Sunday drive. Before they left, Mr. Thomas noticed the gas tank was ¾ full. When they returned home
JulijaS [17]

Answer:

7.5 gallons

Step-by-step explanation:

Given:

The Thomas family went for a Sunday drive.

Before they left, Mr. Thomas noticed the gas tank was ¾ full.

When they returned home the gas tank was ⅓ full.

Total capacity of the gas tank = 18 gallons

<u>Question asked:</u>

How many gallons of gas did the car use on the drive?

<u>Solu</u>tion:

Before they left, quantity of gas in the tank = \frac{3}{4} \times18=\frac{54}{4} =13.5\ gallons

When they returned, quantity of gas in the tank = \frac{1}{3} \times18=\frac{18}{3} =6\ gallons

Quantity of gas used on the drive = 13.5 - 6 = 7.5 gallons

Therefore, 7.5 gallons of gas used on the drive by Thomas family.

4 0
2 years ago
-3 - 8+ (-4) what is the answer??
Masja [62]
The answer to -3-8+(-4) is -15
7 0
3 years ago
Read 2 more answers
4) What is the cost of 1st class ticket (x) and the cost of a coach ticket (y) *
Kobotan [32]

Answer:

1st class - 22 people

coach - 57 people

Step-by-step explanation:

$85 x 22 people = $1870

$60 x 57 people = $3420

22 people + 57 people = 79 people

$1870 + $3420 = $5290

6 0
3 years ago
The square of a number is 12 less then 7 times the number. 2hat is the number
Salsk061 [2.6K]
Hello.

The are answer is 4 or 3 
<span>

3^2 = 7(3) - 12
9 = 21 - 12
9 = 9

</span>4^2 = 7(4) - 12
16 = 28 - 12
16 = 16

Have a nice day
3 0
2 years ago
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