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2 years ago

Complete the steps in order to write the inverse of f(x) = x + 5

Mathematics

1 answer:

algol132 years ago

4 0

Answer:

$f^{-1}$ (x) = x - 5

Step-by-step explanation:

Let y = f(x) and make x the subject

y = x + 5 ( subtract 5 from both sides )

y - 5 = x

Change y back into terms of x, thus

$f^{-1}$ (x) = x - 5

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$5000 was invested into an investment that pays 4.25% simple interest. The total value of the investment amounted to $6593.75. H

Basile [38]

Answer:

7.5 years

Step-by-step explanation:

P = $5000,

R = 4.25%,

A = $6593.75,

N =?

SI = A - P = 6593.75 - 5000 =$1593. 75

$\because \: SI = \frac{ PNR}{100} \\ \\ \therefore \: 1593.75 = \frac{5000 \times N \times 4.25}{100} \\ \\ \therefore \: 1593.75 \times 100 = 21,250 \times N \\ \\ N = \frac{159375}{21250} \\ \\ N = 7.5 \: years \:$

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2 years ago

The picture below shows a box sliding down a ramp:

Gennadij [26K]

Answer:

$AC=15.1\ ft$

Step-by-step explanation:

we know that

In the right triangle ABC

The function sine of angle 68 degrees is equal to divide the opposite side SB by the hypotenuse AC

$sin(68\°)=\frac{AB}{AC}$

substitute the values and solve for AC

$sin(68\°)=\frac{14}{AC}$

$AC=\frac{14}{sin(68\°)}$

$AC=15.1\ ft$

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2 years ago

If rounded to the nearest dime, what is the greatest amount of money the rounds to $105.40? What is the least amount of money th

NISA [10]

<span>The answer is: the least amount is 105.35 and the greatest amount is 105.44. If the number after the one you want to round is 5 or bigger, you need to round up the number. For instance, 105.35 is rounded to 105.4 which is equal to 105.40. If the number after the one you want to round is smaller than 5, you need to round down the number. For instance, 105.44 is rounded to 105.4 which is equal to 105.40.</span>

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2 years ago

NL and MK are diameters of circle J. Complete the statements about circle J. MP is a major arc/minor arc and measures __ degrees

joja [24]

Answer:

1. Minor arc

2. 152

3. major arc

4. 298

Step-by-step explanation:

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2 years ago

A hospital bill is estimated to be $462.00. It ends up actually costing the patient $525.00. What is the percent error in the bi

Mamont248 [21]

In order to find the percent error, we need to first find the difference between what was expected and what is actually costed. We do this by subtracting:

$525-462=63$

So now we know that the expected amount was off by $63. To find the percent error, we need to take this $63, and divide it by the amount that was estimated. Let's do that now:

$\frac{63}{462}=0.1364$

However this is in decimal form. We need to multiply by 100 in order to get it in a percent:

$0.1364*100=13.64%$

Now we know that the percent error of the hospital bill estimate is 13.64%.

6 0

2 years ago