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Marina86 [1]
3 years ago
10

How do you decide whether a number is a solution of an inequality

Mathematics
1 answer:
disa [49]3 years ago
4 0

Answer:

  • We can solve inequalities to find all values of the variable that make the inequality true. The idea is to get the variable all by itself on one side of the inequality sign so we can easily see the solutions to the inequality.
  • Hence for any given inequality and for any given number if we put that number in that inequality and see that the given inequality sign holds true than that number will be a solution of the inequality otherwise it is not an solution of the inequality.


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lutik1710 [3]
Neagative six plus r is less than or equal to negative three point five
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2 years ago
Determine whether the graphs of any of the following equations are parallel or perpendicular. Explain
bixtya [17]

Answer:

y=4x and x+4y=12 are perpendicular because they have opposite reciprocal slopes

Step-by-step explanation:

y=4x slope is 4

x+4y=12 slope is -1/4

5 0
2 years ago
Given an arithmetic sequence with a3=5 and a5=19, find the 24th term.
krok68 [10]

The 24th term is 152

Step-by-step explanation:

The formula of the nth term of an arithmetic sequence is:

a_n=a+(n-1)d , where

  • a is the first term
  • d is the common difference between consecutive terms

The third term means n = 3

∵ a_3=a+(3-1)d

∴ a_3=a+2d

∵ a_3 = 5

- Equate the right hand sides of the third term

∴ a + 2d = 5 ⇒ (1)

The fifth term means n = 5

∵ a_5=a+(5-1)d

∴ a_5=a+4d

∵ a_5 = 19

- Equate the right hand sides of the fifth term

∴ a + 4d = 19 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate a

∴ 2d = 14

- Divide both sides by 2

∴ d = 7

- Substitute the value of d in equation (1) to find a

∵ a + 2(7) = 5

∴ a + 14 = 5

- Subtract 14 from both sides

∴ a = -9

The twenty fourth term means n = 24

∵ a = -9 and d = 7

- Substitute the values of a and d in the formula of the nth term

∴ a_24=-9+(24-1)(7)

∴ a_24=-9+(23)(7)

∴ a_24=-9+161

∴ a_24=152

The 24th term is 152

Learn more:

You can learn more about the arithmetic sequence in brainly.com/question/7221312

#LearnwithBrainly

5 0
3 years ago
Which is equivalent to -√10 3/4^x?
Galina-37 [17]

3√10^4x is equivalent to -√10 3/4^x and -4√10^3x they are all equivalent

4 0
3 years ago
Read 2 more answers
F(x) = 23 – 22<br> g(x) = 4x + 5
Mandarinka [93]

Answer:

23-22=1

5 times 4=20

Step-by-step explanation:

7 0
3 years ago
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