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3 years ago

Which of the following is the correct graph of the compound inequality 4p + 1 > −11 or 6p + 3 < 39?

Mathematics

2 answers:

frozen [14]3 years ago

7 0

** 4p + 1 > - 11

4p > - 12

p > -3

** 6p + 3 > 39

6p > 36

p > 6

sesenic [268]3 years ago

7 0

Answer:

The graph is attached below. Solution is (-∞,∞)

Step-by-step explanation:

$p + 1 > -11 \ or \ 6p + 3 < 39$

Solve each inequality

$p + 1 > -11$ , Subtract 1 from both sides

$p> -12$

$6p + 3 < 39$

Subtract 3 from both sides

$6p< 36$

Divide both sides by 6

$p< 6$

Solution for this compound inequality is

$p> -12$ or $p< 6$

The graph is attached below. Solution is (-∞,∞)

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nekit [7.7K]

Answer:

There are no like terms.

Step-by-step explanation:

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2 years ago

A number, x, rounded to 2 significant figures is 1300<br>Write down the error interval for x.

nikitadnepr [17]

Answer:

$[1250,1350)$ .

Step-by-step explanation:

It is given that a number, x, rounded to 2 significant figures is 1300.

It is possible if,

1. The value of x is greater than of equal to 1250 and less than or equal to 1300.

i.e., $1250\leq x\leq 1300$ ...(1)

2. The value of x is greater than of equal to 1300 and less than 1350.

i.e., $1300\leq x$ ...(2)

On combining (1) and (2), we get

$1250\leq x < 1350$

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Interval notation is $[1250,1350)$ .

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3 years ago

I need help with this problem

cricket20 [7]

Answer:

Disagree

Step-by-step explanation:

because it looks like less than 45

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2 years ago

A chemical flows into a storage tank at a rate of (180+3t) liters per minute, where t is the time in minutes and 0<=t<=60

Yuliya22 [10]

Answer:

The amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

Step-by-step explanation:

Consider the provided information.

A chemical flows into a storage tank at a rate of (180+3t) liters per minute,

Let $c(t)$ is the amount of chemical in the take at <em>t </em>time.

Now find the rate of change of chemical flow during the first 20 minutes.

$\int\limits^{20}_{0} {c'(t)} \, dt =\int\limits^{20}_0 {(180+3t)} \, dt$

$\int\limits^{20}_{0} {c'(t)} \, dt =\left[180t+\dfrac{3}{2}t^2\right]^{20}_0$

$\int\limits^{20}_{0} {c'(t)} \, dt =3600+600$

$\int\limits^{20}_{0} {c'(t)} \, dt =4200$

So, the amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

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3 years ago

three brothers and a sister shared a sum of money equally among themselves. if the brothers alone had shared the money, then the

Virty [35]

Answer:

1. t=240

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Step-by-step explanation:

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2 years ago