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Alborosie
2 years ago
15

A CLOSER LOOK AT Compound Inequalities We previously learned that compound inequalities are two inequalities joined by the word

"or" or "and". Sometimes you really need to think about what the inequalities are saying before you determine the solution. Example at the Zoo: A sign at the ticket booth reads "Guests that are under 3 years old and over 62 years old get free admission!" Does this make sense? If not, why? How would you change it? Explain.
Mathematics
1 answer:
alex41 [277]2 years ago
3 0

Answer:

The sign at the ticket booth should read "Guests that are under 3 years old or over 62 years old get free admission!"

Step-by-step explanation:

Compound inequalities are the combination of two inequalities by the words "or" or "and".

In the given example, the compound inequality is,

Guests that are under 3 years old and over 62 years old get free admission!

The given inequality can be broken into two individual inequalities as,

Inequality 1: Guests that are under 3 years old get free admission

Inequality 2: Guests that are over 62 years old get free admission

The above two inequalities are combined by "and" in the given compound inequality.

Now, "and" signifies that both the conditions or inequalities should be fulfilled at the same time. But a guest can either be under 3 years old or he/she should be older than 62. Both the conditions cannot be fulfilled at the same time and hence, the sign doesn't make any sense.

To correct the sign, "and" should be replaced with "or".

Therefore, the corrected sign at the ticked booth should read "Guests that are under 3 years old or over 62 years old get free admission!".

For more details, refer to the link:

brainly.com/question/20296065?referrer=searchResults

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Angelina_Jolie [31]

3( 1/2 - y) = 3/5 + 15y

Applying distributive property:

3*1/2 - 3y = 3/5 + 15y

3/2 - 3y = 3/5 + 15y

3/5 is adding on the right, then it will subtract on the left

3y is adding on the left, then it will subtract on the right

3/2 - 3/5 = 15y + 3y

15/10 - 6/10 = 18y

9/10 = 18y

18 is multiplying on the right, then it will divide on the left

9/10*1/18 = y

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6 0
1 year ago
Consider the function.
Licemer1 [7]

Answer:

Option 4

Step-by-step explanation:

Given function is,

f(x)=2\frac{1}{2}-3\frac{1}{3}x

Steps to get the inverse of the given function,

Step 1,

Convert the function into equation,

y=2\frac{1}{2}-3\frac{1}{3}x

Step 2,

Interchange the variables 'x' and 'y',

x=2\frac{1}{2}-3\frac{1}{3}y

Step 3,

Solve the equation for the value of y,

x-2\frac{1}{2}=-3\frac{1}{3}y

x-\frac{5}{2}=-\frac{10}{3}y

-x+\frac{5}{2}=\frac{10}{3}y

-3x+\frac{15}{2}=10y

-\frac{3}{10}x+\frac{15}{20}=y

y=-\frac{3}{10}x+\frac{3}{4}

Step 4,

Convert the equation into inverse function,

f^{-1}x=-\frac{3}{10}x+\frac{3}{4}

For x-intercepts,

Substitute y = 0,

0=-\frac{3}{10}x+\frac{3}{4}

\frac{3}{10}x=\frac{3}{4}

x=\frac{10}{4}

x=\frac{5}{2}

x=2\frac{1}{2}

Therefore, x-intercept of the inverse function is (2\frac{1}{2},0).

Option 4 will be the answer.

8 0
2 years ago
The ordered pair (x,5) is a solution to the function f(x) = x^2 + 1
torisob [31]

Answer:

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Step-by-step explanation:

Given

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Equating the two gives

x² + 1 = 5 ( subtract 1 from both sides )

x² = 4 ( take the square root of both sides )

x = ± \sqrt{4} = ± 2

Thus (- 2, 5) and (2, 5) are solutions

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2 years ago
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mixer [17]

Answer:

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Step-by-step explanation:

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GuDViN [60]

Answer: 1.) 5 cups of yellow paint.

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Step-by-step explanation: i think number 4 might be wrong not fully sure but i hope this helps!

5 0
2 years ago
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