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Gnoma [55]
3 years ago
7

(√3-√5)(√5+√3)/7-2√5

Mathematics
1 answer:
strojnjashka [21]3 years ago
7 0

Answer:

= - 14 - 4√5/ 29

Step-by-step explanation:

(√3-√5)(√5+√3)/7-2√5

= √15 + 3 - 5 - √15/7 - 2√5

= - 2/7 - 2√5

= - 2/7 - 2√5 x 7 + 2√5/7 + 2√5

= - 14 - 4√5/49 + 14√5 - 14√5 - 20

= - 14 - 4√5/ 29

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The quotient of a number and 0.004 is 60. Find the number​
tatuchka [14]

Answer:

Step-by-step explanation:

x/.004 = 60

solve x

x = .24

7 0
2 years ago
PLEASE HELP!!!
labwork [276]

Answer:

The correct options are:

So, these functions have the same range.

The functions have the same base.

The functions have the same domain.

g(x) is a translation left 1 unit.

Step-by-step explanation:

According to the table, both are exponential functions.

We have that

f(x) = 3^{x}

g(x) = 3^{x+1}

Lets see each affirmation:

The functions have the same base.

An exponential function a^{x} has base a.

In this problems, both f and g have base 3.

The functions have the same range.

The range of f are all the values that f can assume. That is, all the positive numbers.

The range of g are all the values that g can assume. That is, also all the positive numbers.

So, these functions have the same range.

The functions have the same exponent.

An exponential function a^{x} has exponent x.

f has exponent x and g has exponent x + 1. So those functions do not have the same exponent.

The functions have the same domain.

Yes, they both have x = {0,1,2,3} as domain.

g(x) is a translation left 1 unit.

g(x) = f(x+1). So yes, g(x) is a translation left 1 unit.

g(x) is a translation right 2 units.

g(x) is not f(x-2). So g(x) is not a translation right 2 units.

g(x) is a translation up 2 units.

g(x) is not f(x) + 2. So g(x) is not a translation up 2 units.

6 0
3 years ago
Read 2 more answers
Please help I don’t get this the teacher doesn’t help :(
Degger [83]

Answer: yes

Step-by-step explanation: you can write a furmula by looking at the numbers

6 0
3 years ago
An electrician charges $53 per hour and his apprentice charges $22 per hour. On a job wiring a house the electrician worked four
forsale [732]

Answer:

<h2>$503.5</h2>

Step-by-step explanation:

let the apprentice duration of work be x hours

so that the electrician worked (x+4)hours

53*(x+4)+22*x=624.50

opening the bracket we have

53x+212+22x=624.50

collect like terms we have

53x+22x+212=624.50

75x+212=624.50

75x=624.50-212

75x=412.5

divide both sides by 75 we have

x=412.5/75

x=5.5

The electrician worked a total of (x+4)

5.5+4=9.5 hours or 9hours 30min

given that the electrician earns $53 per hour

then,for the work he would make 53*9.5=$503.5

7 0
3 years ago
Y = 5x - 10<br> Can you solve for x
tensa zangetsu [6.8K]

Answer:

x = \frac{1}{5}y + 2     or       x = \frac{y+10}{5}     (Not sure which one is preferred in your case)

Step-by-step explanation:

<u>Key skills needed: Evaluating expressions</u>

1) We are given: y = 5x-10

2) To solve for the x variable, we want to leave the term with "x" by itself.

This means we add 10 to both sides

--> y + 10 = 5x (Since -10 and +10 cancel out to make 0 or nothing)

3) Then we divide by 5 on both sides to get "x" completely by itself.

-----> \frac{y+10}{5} = x

4) You can keep it as is so --> x = \frac{y + 10}{5}

or you can divide "y" by 5 and "10" by 5 and get --> x = \frac{1}{5} y + 2

(I am not sure which form is preferred one is preferred as the teacher matters)

<em>Hope you understood and have a nice day!!</em>

6 0
2 years ago
Read 2 more answers
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