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luda_lava [24]
2 years ago
11

The function y = square root sign x is translated using the rule (x, y) → (x – 7, y + 2)to create f(x). What is the domain of f(

x)? {x | x > –7} {x | x > 7} {x | x > –2} {x | x > 2} square root x
Mathematics
2 answers:
Mama L [17]2 years ago
7 0

Answer:

Second option {x | x > 7}

Step-by-step explanation:

We have the function

y = \sqrt{x}

We know that the square root of a negative number has no solution in the real ones. Therefore the domain of this function is x > 0

When applying the transformation:

(x, y) \to (x - 7, y + 2) we have a translation of the original function in 7 units to the right and 2 units to the top:

f(x) = \sqrt{x-7} + 2

In the same way we must guarantee that (x-7)> 0

Then x > 7.

Therefore the domain of f(x) is {x | x > 7}

Dennis_Churaev [7]2 years ago
6 0

a on edge

Step-by-step explanation:

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Verbal expression for c+2d
garik1379 [7]
Answer:

see below

Explanation:

There are many ways of writing a verbal expression for the given algebraic expression.

Some examples are:

a number c plus twice a number da number c added to twice a number dc added to the product of 2 and d the product of 2 and d increased by c twice a number d increased by cthe sum of c and twice d

8 0
2 years ago
Read 2 more answers
One in a hundred million people is a genius. If they are a genius, the probability that the person is acting extremely quirky is
Mila [183]

Answer:

The correct option is E) About 1 in a million.

Step-by-step explanation:

Consider the provided information.

It is given that one in a hundred million people is a genius.

Let G represents the Genius and Q represents the quirky.

We need to find the probability that someone is acting quirky- what is the probability that they are a genius.

The probability that person is quirky is: P(Q)=0.999\cdot0.00000001+0.01\cdot0.99999999

The probability of P(Q\cap G)=0.999\cdot0.00000001

Hence, the required probability is:

P(G|Q)=\frac{P(Q\cap G)}{P(Q)}

P(G|Q)=\frac{0.999\cdot0.00000001}{0.999\cdot0.00000001+0.01\cdot0.99999999}

P(G|Q)\approx 9.98999\times10^{-7}

Which is near about 1 in a million.

Hence, the correct option is E) About 1 in a million.

5 0
2 years ago
John runs 500 feet per minute. identify the correct conversion factor setup required to compute john's speed in inches per secon
nadezda [96]

Answer:

The correct answer is A) 12 Inches/1 Foot multiplied by 60 Seconds /1 Minute  

Step-by-step explanation:

The explanation is very direct and simple.

There are 12 Inches in every Foot and 60 seconds in every minute.

This is all that is required to accurately compute johns speed in inches per second.

Cheers!

4 0
2 years ago
Read 2 more answers
Copy and complete each table.
LUCKY_DIMON [66]

Answer:

5th term of sequence = -18

nth term of the sequence = -5n + 7

Step-by-step explanation:

Difference between successive and previous term of the output,

T_{2}-T_{1} = -3 - 2

           = -5

Similarly, T_{3}-T_{2}=-8-(-3)

                            = -5

There is a common difference 'd' = (-5)

Therefore, the sequence formed will be an arithmetic sequence.

First term of the sequence 'a' = 2

Explicit formula of an arithmetic sequence, T_{n} = a + (n - 1)d  [n = input value]

T_{n} = 2 + (n - 1)(-5)

    = 2 - 5n + 5

    = -5n + 7

5th term of this sequence,

T_{5}=2+(5-1)(-5)

    = 2 - 20

    = -18

Therefore, 5th term of sequence = -18

                  nth term of the sequence = -5n + 7

3 0
2 years ago
The acceleration of an object due to gravity is 32 feet per second squared. What is acceleration due to gravity in inches per se
GarryVolchara [31]
For each foot there are 12 inches  so we multiply by 12

32*12 = 384 inches

C
5 0
2 years ago
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