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4 years ago

–6 < 2x – 4 < 4 solve the inequality

Mathematics

1 answer:

Ira Lisetskai [31]4 years ago

6 0

Answer:

The answer is

Step-by-step explanation:

First of all add 4 to both sides of the inequality to make 2x stand alone

That's

Divide both sides of the inequality by 2 inorder to find x

That's

We have the final answer as

Hope this helps you

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Solve the systems of equation by substitution method.<br><br>2x+y=1<br>3x-y=4

SCORPION-xisa [38]

Answer:

x=1, y=-1. (1, -1).

Step-by-step explanation:

2x+y=1

3x-y=4

-------------

y=3x-4

2x+3x-4=1

5x-4=1

5x=1+4

5x=5

x=5/5

x=1

y=3(1)-4=3-4=-1

5 0

3 years ago

An airliner maintaining a constant elevation of 2 miles passes over an airport at noon traveling 500 mi/hr due west. At 1:00 PM,

butalik [34]

Answer:

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

Step-by-step explanation:

Let suppose that airliners travel at constant speed. The equations for travelled distance of each airplane with respect to origin are respectively:

First airplane

$r_{A} = 500\,\frac{mi}{h}\cdot t\\r_{B} = 550\,\frac{mi}{h}\cdot t$

Where t is the time measured in hours.

Since north and west are perpendicular to each other, the staight distance between airliners can modelled by means of the Pythagorean Theorem:

$s=\sqrt{r_{A}^{2}+r_{B}^{2}}$

Rate of change of such distance can be found by the deriving the expression in terms of time:

$\frac{ds}{dt}=\frac{r_{A}\cdot \frac{dr_{A}}{dt}+r_{B}\cdot \frac{dr_{B}}{dt}}{\sqrt{r_{A}^{2}+r_{B}^{2}} }$

Where $\frac{dr_{A}}{dt} = 500\,\frac{mi}{h}$ and $\frac{dr_{B}}{dt} = 550\,\frac{mi}{h}$ , respectively. Distances of each airliner at 2:30 PM are:

$r_{A}= (500\,\frac{mi}{h})\cdot (1.5\,h)\\r_{A} = 750\,mi$

$r_{B}=(550\,\frac{mi}{h} )\cdot (1.5\,h)\\r_{B} = 825\,mi$

The rate of change is:

$\frac{ds}{dt}=\frac{(750\,mi)\cdot (500\,\frac{mi}{h} )+(825\,mi)\cdot(550\,\frac{mi}{h})}{\sqrt{(750\,mi)^{2}+(825\,mi)^{2}} }$

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

6 0

3 years ago

To divide 572 divide 4, Stanley estimated to place the first digit of the quotient. In which place is the first digit of the quo

andreyandreev [35.5K]

It would go over the five, so im guessing the hundreds

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3 years ago

Find the unit rate for 420 miles on 10 gallons of gas

Mars2501 [29]

Answer:

42 miles per gallon

Step-by-step explanation:

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Select the equation and solution for the problem. Let x represent the unknown number A total of 21 people on a sports team are r

pickupchik [31]

Answer:

The answer is C.

Step-by-step explanation:

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3 years ago