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3 years ago

What is the solution set of the compound inequality x+4<-3x+12<24

1 answer:

3 0

Hello! For these types of inequalities, we put what’s in the middle to solve for the one behind and ahead. -3x + 12 is in the middle. Let’s solve it like this: x + 4 < -3x + 12. Add 3x to both sides to get 4x + 4 < 12. Subtract 4 from both sides to get 4x < 8. Divide each side by 4 to isolate the “x”. 8/4 is 2. x < 2. Now, let’s solve the other like this: -3x + 12 < 24. Subtract 12 from both sides to get -3x < 12. Divide each side by -3 to isolate the “x”. 12/-3 is -4. Because you divided by a negative, you flip the sign over into greater than. The solution to the compound inequality is -4 < x < 2, but none of the choices show that. In this case, the part of the solution is x < 2, so if you had to pick from one of the answers, the answer is C.

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some of the apollo missions transported astronauts from earth to moon. the travel time was about 3 days and about 385,000 kilome

lord [1]

3,322.609847222222 mph. First covert miles to km. This distance is 239227.909 miles. then divide this by the number of hours which is number of days times 24. It took 3 days so it is 72 hours. After diving 239227.909/72 you get your answer of 3,322.609847222222 mph

5 0

4 years ago

Simplify the following expressions.<br> (x^-8/y^11)^-2<br><br> Please

kobusy [5.1K]

Answer:

y ^22 x ^16

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4 years ago

A cell tower is located at and transmits a circular signal that covers three major cities. The three cities are located on the c

Lelu [443]

Answer:

$(x+8)^2 +(y-4)^2 = 25$

Step-by-step explanation:

Assuming this complete problem: "A cell tower is located at (-8, 4) and transmits a circular signal that covers three major cities. The three cities are located on the circle and have the following coordinates: G (-4, 7), H (-13, 4), and I (-8, -1). Find the equation of the circle"

For this case the generla equation for the circle is given by:

$(x-h)^2 +(y-k)^2 = r^2$

From the info we know that the tower is located at (-8, 4) so then h = -8 and k = 4, so then we need to find the radius. So we have the equation like this: $(x+8)^2 +(y-4)^2 = r^2$

If the 3 points are on the circle then satisfy the equation. We can use the first point (-4,7) and if we replace we can find the value for $r^2$

$(-4+8)^2 +(7-4)^2 =25= r^2$

So then $r = \sqrt{25}=5$

And if we replace the second point we got this:

$(-13+8)^2 +(4-4)^2 = 25 =r^2$

And for the third point we have:

$(-8+8)^2 +(-1-4)^2 = 25 =r^2$

And we got the same result.

So then our final equation is given:

$(x+8)^2 +(y-4)^2 = 25$

4 0

4 years ago

The distance on the map between Yappy City and Quiet City is 23 cm. What is the actual distance between the cities? 5 cm : 2 mil

S_A_V [24]

The actual distance between the cities will be equal to 9.2 miles.

<h3>What is an arithmetic operation?</h3>

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given data in the question,

Distance between Yappy city and quit city is 23 cm.

As per the conversion is given in the question,

5 cm = 2 miles

Then, the number of miles of distance will be,

x = (2 × 23)/5

x = 9.2 miles.

To know more about arithmetic operations:

brainly.com/question/13585407

#SPJ1

3 0

1 year ago

An equation that involves a multiplication addition, contains a variable, and has a solution of 8.

yulyashka [42]

A variable is an unknown like x so

first we start with
x=8
then we subtract (because you must add to reverse subtraction)
x-2=8-2
x-2=6
then we divide ( because you must multiply to reverse division)
(x-2)/3=6/3
(x-2)/3=2

find x

7 0

3 years ago