All categories

2 years ago

6 3x−8≤23 AND −4x+26≥63

Mathematics

1 answer:

Airida [17]2 years ago

8 0

The solution to the compound inequality given as 3x−8≤23 AND −4x+26≥63 is x ≤ 31/3 AND x ≤ -89/4

<h3>How to determine the solution to the compound inequality?</h3>

The compound inequality is given as:

3x−8≤23 AND −4x+26≥63

Rewrite properly as:

3x − 8 ≤ 23 AND −4x + 26 ≥ 63

Add to both sides of compound inequality ,the constant in the compound inequality expression

So, we have:

3x ≤ 31 AND −4x ≥ 89

Divide both sides of compound inequality, by the coefficient of the variable x in the compound inequality expression

So, we have:

x ≤ 31/3 AND x ≤ -89/4

hence, the solution to the compound inequality given as 3x−8≤23 AND −4x+26≥63 is x ≤ 31/3 AND x ≤ -89/4

Read more about compound inequality at

brainly.com/question/1604153

#SPJ1

You might be interested in

The fish population of Lake Collins is decreasing at a rate of 5% per year. In 2004 there were about 1,350 fish. Write an expone

ad-work [718]

Answer:

Part 1) The exponential function is equal to $y=1,350(0.95)^{x}$

Part 2) The population in 2010 was $992\ fish$

Step-by-step explanation:

Part 1) Write an exponential decay function that models this situation

we know that

In this problem we have a exponential function of the form

$y=a(b)^{x}$

where

y ----> the fish population of Lake Collins since 2004

x ----> the time in years

a is the initial value

b is the base

we have

$a=1,350\ fish$

$b=(100\%-5\%)=95\%=0.95$

substitute

$y=1,350(0.95)^{x}$ ----> exponential function that represent this scenario

Part 2) Find the population in 2010

we have

$y=1,350(0.95)^{x}$

For $x=(2010-2004)=6\ years$

substitute

$y=1,350(0.95)^{6}=992\ fish$

7 0

3 years ago

If A's income is 25% less than that of B, then how much percent is B's income more than that of A?

saul85 [17]

Let's say that B makes $100.

Then A makes $75.

So, your question then becomes 100 is what percent of 75?

This can be solved by setting up the proportion 100 / 75 = x / 100

75x = 10000

x = 133.3

So, B's income is 33.3% more than A's income.

7 0

3 years ago

Andre builds a form for a new cement step in the shape of a rectangular prism. The form he builds is 40 and 1/2 inches long, 10

posledela

Answer:

3240 in^3

Step-by-step explanation:

Step one:

given data

The dimension of the form

Length 40 and 1/2 inches long,

Depth 10 inches deep,

The width and 8 inches high

Step two:

The amount of cement is equivalent to the volume of the form

$V=L*W*H\\\\V=40.5*10*8\\\\V=3240 in^3$

Hence the volume of cement is 3240 in^3

8 0

3 years ago

In AABC, MZA = 16°, mZB = 49°, and<br> a = 4. Find c to the nearest tenth.

zhannawk [14.2K]

Answer:

Step-by-step explanation:

The sum of angles in a triangle is 180°, so angle C is ...

C = 180° -A -B

C = 180° -16° -49° = 115°

The measure of side c can be found from the Law of Sines:

c/sin(C) = a/sin(A)

c = a·sin(C)/sin(A) = 4·sin(115°)/sin(16°)

c ≈ 13.2

6 0

3 years ago

What is 238 rounded to the nesrest ten

Solnce55 [7]

238 rounded to the nearest ten would be 240 because 8 is bigger than 5. So since its bigger we move the tens place (3) a number ahead (4).

Thats how we get 238 rounded to the nearest ten would be 240.

Hope I helped ya!!

6 0

3 years ago

Read 2 more answers