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AnnZ [28]
3 years ago
14

Solve the inequality: |2x+5|>0.5

Mathematics
2 answers:
anyanavicka [17]3 years ago
8 0

Answer:

Step-by-step explanation:

Divide all three terms by 2 to isolate x:

|x + 5/2| > 0.25

Case 1:  x + 5/2 > 0.25 (no absolute value symbol needed), or x > -2.25

Case 2:   -(x + 5/2) > 0.25.  Multiplying both sides by -1 yields

                 x + 5/2 < -0.25.  Subtracting 5/2 from both sides:  x < 5.45

The solution set is    -2.25 < x < 5.45.

Yuliya22 [10]3 years ago
8 0

Answer:

x < - 2.75, and x > - 2.25

Step-by-step explanation:

Here we can apply the absolute value rule " If say | u | > a, and a > 0, then u < - a, and u > a. " If  a were to be less than 0 ( a < 0 ) then their would be infinitely many solutions as the absolute value will always be greater than or equal to 0.

In this case let us consider both options, u < - a, and u > a,

2x + 5 < - 0.5 or 2x + 5 > 0.5 - solving for each of these inequalities we can combine both intervals and receive the solution

2x + 5 < - 0.5 : 2x < - 5.5, x < - 5.5 / 2, x < - 2.75

2x + 5 > 0.5 : 2x > - 4.5, x > - 4.5 / 2, x > - 2.25

Our solution is hence x < - 2.75, and x > - 2.25. Combining each of the intervals we receive our solution. Note that we can't represent this as one compound inequality as their signs differ.

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the distance between Two Cities on a map is 4.125. find the actual distance if the scale on the map was 2 inches = 40 miles
atroni [7]

Answer:

85 miles.

Step-by-step explanation:

Lets begin by figuring out the number of miles in 4 inches. Since every 2 inches make 40 miles, we can figure out that there are 80 miles in 4 inches. To figure out that .125 part, we multiply 40 by .125, to get 5. We can add 80 plus 5 to get our grand total of 85 miles.

7 0
3 years ago
A dolphin jumped up out of the water and back into the water in a parabolic path. (H) height (t) seconds . H=-8(t-0.5)^2+2 . How
tigry1 [53]

Answer:

4 seconds

Step-by-step explanation:

using the vertex formula of a quadratic,

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the vertex (maximum height) of the dolphin is (h,k) or (0.5, 2)  

Height of 1/2

time of 2 seconds

it will take 2 additional seconds to reach the water again.

this can also be solved using quadratic equation, but since it was already set up in vertex form, i'd use that.

4 0
2 years ago
A recipe for a potato salad calls for one teaspoon of vinegar for every two teaspoons of mayonnaise how many teaspoons of vinega
tekilochka [14]

We can find this by doing 16/2

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The answer is you need 8 teaspoons of vinegar for 16 tsp of mayonnaise

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3 years ago
Read 2 more answers
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Charra [1.4K]
Suppose Jenny publishes X post per day, and Antonio publishes Y post per day.
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For example, if the numbers of days is Z, Jenny and Antonio published Z(X+Y) posts.
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3 years ago
What is the answer to this question
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