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4 years ago

What is the next step in the given proof? Choose the most logical approach.

Mathematics

1 answer:

Elden [556K]4 years ago

3 0

Answer:

the answer is c

Step-by-step explanation:

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Select all coordinate pairs that are solutions to the inequality 5x + 9y < 45.

Dmitry [639]

F (5,9)
You would divide everything by 5 then 9 over 5

3 0

3 years ago

Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.

qwelly [4]

Answer:

$\displaystyle \frac{dy}{dt}=-\frac{33}{8}$

$\displaystyle \frac{dx}{dt}=\frac{3}{2}$

Step-by-step explanation:

x and y are differentiable functions of t, and we are given the equation:

$xy=6$

First, let's differentiate both sides of the equation with respect to t. So:

$\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6]$

By the Product Rule and rewriting:

$\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0$

Therefore:

$\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0$

We want to find dy/dt when x = 4 and dx/dt = 11.

Using our original equation, find y when x = 4:

$\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}$

Therefore:

$\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0$

Solve for dy/dt:

$\displaystyle \frac{dy}{dt}=-\frac{33}{8}$

We want to find dx/dt when x = 1 and dy/dt = -9.

Again, using our original equation, find y when x = 1:

$(1)y=6\Rightarrow y=6$

Therefore:

$\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0$

Solve for dx/dt:

$\displaystyle \frac{dx}{dt}=\frac{3}{2}$

5 0

3 years ago

Which instruments belong to the brass family?

Harrizon [31]

Trumpet, trombone, tuba,

6 0

3 years ago

Read 2 more answers

A die is a cube with dots on each face. the faces have 1, 2, 3, 4, 5, or 6 dots. the table below is a computer simulation (from

lys-0071 [83]

Assuming that each number in the table corresponds to the number of dots on the upward face of the die, the outcome of the die roll can repeat. Thus if we simulate more rolls of the die, you won;t get the same sequence since the process is at random.

4 0

4 years ago

Read 2 more answers

I don't really understand this question so can someone please help

Makovka662 [10]

Hello,

(5x-2)+(2x+6)=67
==>7x+4=67
==>7x=67-4
==>7x=63
==>x=63/7
==>x=9
|AB|=5x-2=5*9-2=45-2=43 (miles)

8 0

3 years ago