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Natasha2012 [34]
4 years ago
12

Describe the domain and range of f(x)= -square root of x+1

Mathematics
1 answer:
Natalka [10]4 years ago
3 0
f(x)=-\sqrt{x+1}\\\\The\ domain:\\\\x+1\geq0\to x\geq-1\\\\\boxed{x\geq-1\to D:x\in[-1;\ \infty)}\\\\The\ range:\\\\\boxed{y\leq0\to y\in(-\infty;\ 0]}
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an art class has 18 students and 1/3 of the students are painting. how many of the students in the class are painting?
Radda [10]

Answer:

6

Step-by-step explanation:

18÷1/3 is 6

5 0
4 years ago
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7 x 45 = 7 x 3 x ? What should replace the ? In the number sentence
Bas_tet [7]
X=15 I think .... sorry if I’m wrong
4 0
3 years ago
Find all solutions of the equation. 5 sin x − 82√ = 3 sin x − 72√
Andrei [34K]

Answer:

  • x = arcsin(√20.5 -3√2) +2kπ . . . k any integer
  • x = π - arcsin(√20.5 -3√2) +2kπ . . . k any integer

Step-by-step explanation:

Add √(82) -3sin(x) to both sides to get ...

  2sin(x) = √82 -√72

Now, divide by 2 and find the arcsine:

  sin(x) = (√82 -√72)/2

  x = arcsin((√82 -√72)/2)

Of course, the supplement of this angle is also a solution, along with all the aliases of these angles.

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In degrees, the solutions are approximately 16.562° and 163.438° and integer multiples of 360° added to these.

6 0
4 years ago
A large cable company reports the following.
Oduvanchick [21]

Answer:

Step-by-step explanation:

Let n(U) be total amount or customers = 100%

n(C) = 80% of its customers subscribe to its cable TV service.

n(I) = 41% of its customers subscribe to its Internet service.

n(T) = 31% of its customers subscribe to its telephone service.

n(CnI) = 25% of its customers subscribe to both its cable TV and Internet service.

n(CnT) = 20% of its customers subscribe to both its cable TV and phone service.

n(InT) = 22% of its customers subscribe to both its Internet and phone service.

n(CnInT) = 15% of its customers subscribe to all three services

number of those that subscribed to TV only = n(C) - (n(CnInT')+(n(CnI'nT)+(n(CnInT))

= 80-[(25-15)+(20-15)+15]

= 80-{10+5+15)

= 80-30

= 50

Hence 50% read cable TV only

Pr(cable TV only) = 50/100 = 1/2

2) number of people that read internet and cable TV = 25%

Pr(internet and cable) = 25/100 = 1/4

3) number of people that had exactly two services are;

n(cable and internet only)+n(internet and phone only)+(cable and phone only)

= (25-15)+(22-15)+(20-15)

= 10+7+4

= 21%

Hence 21℅ read exactly two services

pr(exactly 2 services) = 21/100

4) number of people that read internet and cable only = n(CnI) - n(CnInP)

= 25-15 = 10%

Pr(Internet and cable only) = 10/100 = 1/10

8 0
3 years ago
Which equation best represents the relationship between x, the age of the machine in years, and y, the value of the machine in d
Evgen [1.6K]

Answer:

y=-0.5x+8

Step-by-step explanation:

stat, or just rise over run

8 0
3 years ago
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