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Ray Of Light [21]
3 years ago
15

If f(x) = -3x + 6 and f(x)=18 then what is the value of x?

Mathematics
1 answer:
natta225 [31]3 years ago
4 0

Answer:

-4=x

Step-by-step explanation:

f(x) = -3x + 6

Let f(x) = 18

18 = -3x+6

Subtract 6 from each side

18-6 = -3x+6-6

12 = -3x

Divide each side by -3

12/-3 = -3x/-3

-4=x

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A hot air balloon is 910 feet above sea level. It is rising at a rate of 4 feet fee second. How high is the hot air balloon afte
nalin [4]

Answer:

1230

Step-by-step explanation:

80 x 4 = 320

320 + 910 = 1230

5 0
1 year ago
Write −2.32 as a mixed number in simplest form.
skelet666 [1.2K]

Answer: -2 8/25

Step-by-step explanation:

-2.32 * 100/100

2.32*100/100

-232/200

Simplest form reduced by:

-58*4/25*4

-58/25

-2 8/25

7 0
3 years ago
What are the domain and range of f (x) = log (x minus 1) 2?.
statuscvo [17]

You can use the definition of logarithm and the fact that a positive number raised to any power will always stay bigger than 0.

The domain of the given function is  {x | x > 1 and a real number }

The range of the given function is \mathbb R (set of real numbers)

<h3>What is the definition of logarithm?</h3>

If a is raised to power b is resulted as c, then we can rewrite it that b equals to the logarithm of c with base a.

Or, symbolically:

a^b =  c \implies b = log_a(c)

Since c was the result of a raised to power b, thus, if a was a positive number, then a raised to any power won't go less or equal to zero, thus making c > 0

<h3>How to use this definition to find the domain and range of given function?</h3>

Since log(x-1) is with base 10 (when base of log isn't specified, it is assumed to be with base 10) (when log is written ln, it is log with base e =2.71828.... ) thus, we have a = 10 > 0 thus the input x-1 > 0 too.

Or we have:

x > 1 as the restriction.

Thus domain of the given function is {x | x > 1 and a real number }

Now from domain, we have:

x >  1\\&#10;x-1 > 0\\&#10;log(x-1) > -\infty\\&#10;log(x-1) + 2 > -\infty\\&#10;f(x) > -\infty (log(x-1) > -infinity since log(0) on right side have arbitrary negatively large value which is denoted by -infinity)

Thus, range of given function  is whole real number set \mathbb R (since all finite real numbers are bigger than negative infinity)

Thus, the domain of the given function is  {x | x > 1 and a real number }

The range of the given function is \mathbb R (set of real numbers

Learn more about domain and range here:

brainly.com/question/12208715

8 0
2 years ago
Hakim invests $700 in a bank that pays 5% simple interest annually. After one year he uses the money in his account to buy a com
ludmilkaskok [199]

Answer:

  $111

Step-by-step explanation:

The bank balance is ...

  $700 × (1 + 0.05) = $735

The cost of the computer is ...

  $750 × (1 -0.20) × (1 +0.04) = $624

The remaining bank balance after paying for the computer is ...

  $735 -624 = $111

_____

When you add a percentage, you effectively multiply by the sum of 1 and that percentage. The same is true if the amount "added" is negative (as for a discounted price).

  (original amount) + (percentage)×(original amount)

Use the distributive property to factor out the original amount:

 = (original amount)×(1 + percentage)

6 0
3 years ago
What is the slope of the line on the graph?
podryga [215]

Answer:

3

Step-by-step explanation:

3 0
2 years ago
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