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shutvik [7]
2 years ago
14

What is the interval notation for the compound inequality? x≤−5 or x>4

Mathematics
1 answer:
Hoochie [10]2 years ago
5 0

Answer:

(-\infty, -5] \cup (4,\infty)

Step-by-step explanation:

The symbol \cup is set notation for UNION--put two sets together into one set.

The first part of the interval notation describes x less than or equal to -5 -- notice the bracket symbol after -5, meaning include -5.

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On a map,1 inch equals 10 miles. Two cities are 8 inches on the map. What is the actual distance between the cites?
Zinaida [17]

Answer:

if 1 in= 10 miles, then, 8 in= 80 miles

Step-by-step explanation:

8 0
3 years ago
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Please help me out with this!!<br> BRAINLIEST AVAILABLE!!
lapo4ka [179]

Answer:

xy = 1

k = 79

Step-by-step explanation:

Question One

The first and third frames look to me to be the same. I'll treat them that way.

y = x^2                        Equate y = x^2 to the result of 2y + 6 = 2x + 6

2y + 6 = 2(x + 3)         Remove the brackets

2y + 6 = 2x + 6           Subtract 6 from both sides

2y = 2x                       Divide by 2

y = x

Now solve these two equations.

so x^2 = x                  

x > 0

1 solution is x = 0 from which y = 0. This won't work. x must be greater than 0. So the other is

x(x) = x                           Divide both sides by x            

x = 1                            

y = x^2                           Put x = 1 into x^2

y = 1^2                           Solve

y = 1                      

The second solution is

(1,1)

xy = 1*1

xy = 1

Answer: A

Question Two

square root(k + 2) - x = 0

Subtract x from both sides

sqrt(k + 2) = x                Square both sides

k + 2 = x^2                    Let x = 9

k + 2 = 9^2                    Square 9

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k = 79

4 0
3 years ago
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m_a_m_a [10]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Find the value of x in the following triangle, angle A is 3x + 5, angle B is 48 and angle C is 2x +2
Annette [7]

Answer:

1

Step-by-step explanation:

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4 0
3 years ago
SIS<br> 2log(x + 86) = 4<br> EE<br> S<br> -
mina [271]

Answer:I think your Answer would be x=14 but I am not sure.

Step-by-step explanation:

2log 10 (x+86)=4

Determine the defined

2log 10 (x+86)=4,x >-86

Divide both sides by 2

log 10 (x+86)=2

Solve by converting the logarithm into exponential form

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Move constant to the right

x=100-86

Subtract the numbers

x=14,x>-86

Check if the solution is in the defined range

SOLUTION

X=14

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3 years ago
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