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3 years ago

i am thinking of a number. i multiply 5 and add 55. i get the same answer if i multiply by 9 and subtract 13. what is my number

Mathematics

1 answer:

IceJOKER [234]3 years ago

5 0

Answer:

um maybe 9 you dont really specify what were multiplying bye

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The output of a function is 5 more than 2 times the input. Find the input when the output is 17.

Tanya [424]

Answer:

<em>The input when the output is 17 is x=6.</em>

Step-by-step explanation:

<u>Functions</u>

Assume the input is called x and the output is the function f(x). Two times the input is 2x. 5 more than that is 2x+5.

Knowing the output of the function is 5 more than 2 times the input, we can write the function as:

f(x)=2x+5

Now find the input x when the output is 17:

17=2x+5

Swap sides of the equation:

2x+5=17

Subtract 5:

2x=17-5=12

Divide by 2:

x=12/6=6

The input when the output is 17 is x=6.

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3 years ago

Complete the statements.

spayn [35]

Answer:

1. 30

2. 150

Step-by-step explanation:

$3tan^2(x)-1 =0$

Lets assume tan(x) = u

$3u^2(x)-1 =0$

Now we solve for 'u'

add 1 on both sides

$3u^2(x) =1$ , divide both sides by 3

$u^2 = \frac{1}{3}$

Take square root on both sides

$u = +-\frac{1}{\sqrt{3} }$

We replace tan(x) for 'u'

$tan(x) = +-\frac{1}{\sqrt{3} }$

x = 30 because $tan(30) =+\frac{1}{\sqrt{3} }$ in first quadrant

x = 30 (tan is positive in first quadrant)

$tan(x) =-\frac{1}{\sqrt{3} }$

x = 150 because $tan(150) =-\frac{1}{\sqrt{3} }$ in second quadrant

tan is negative in second quadrant

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3 years ago