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2 years ago

Evaluate the function f (x) = x Over 3 + 4 for f(-9).

Mathematics

1 answer:

Zielflug [23.3K]2 years ago

7 0

Answer:

$\huge f( - 9) = 1$

Step-by-step explanation:

$f(x) = \frac{x}{3} + 4 \\$

To find f(-9) , substitute the value of x that's - 9 into f(x) , that's for every x in f(x) replace it with - 9

We have

$f( - 9) = - \frac{9}{3} + 4 \\ = - 3 +4$

We have the final answer as

$f( - 9) = 1$

Hope this helps you

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4. The annual salaries of employees in a large company are approximately

svetoff [14.1K]

a. What percent of people earn less than $40000?

Solution: Let S be the random variable of a salary of employee (in $), S ~ N(50000,20000). Then the random

variable X =−50000

20000

~N(0,1).

( < 40000) = ( <

40000 − 50000

20000 ) = ( < −0.5) = (−0.5) = 0.3085375.

Here Φ(x) denotes the cumulative distribution function of a standard normal distribution.

Answer: 31%.

b. What percent of people earn between $45000 and $65000?

Solution:

(45000 < < 65000) = (

45000 − 50000

20000 < <

65000 − 50000

20000 ) = (−0.25 < < 0.75)

= (0.75) − (−0.25) = 0.7733726 − 0.4012937 = 0.3720789.

Answer: 37%.

c. What percent of people earn more than $70000?

Solution:

( > 70000) = ( >

70000 − 50000

20000 ) = ( > 1) = 0.8413447.

Answer: 84%.

5 0

3 years ago

Find how many eighths you need to make 3 fourths.

Anika [276]

The correct answer is 6 eighths

5 0

3 years ago

Bridget purchased 3 pairs of shoes online. The total bill of $126.81 included a $7.50 shipping charge and 6% tax on the total pu

Alika [10]

Answer:

$37.

Step-by-step explanation:

Firstly, let's set the price of each pair of shoe to be x.

Since each pair of shoes costs the same, and there are three pairs, we can set the original price to be 3x.

Now, to apply the shipping charge, all we have to do is add 7.50 to 3x, getting 3x + 7.5.

Next, to apply a 6% tax, we can multiple the whole expression by (100% + 6%), getting (3x + 7.5) $\cdot$ 106%.

Since the whole bill foots to a total of $126.81, we can set the final equation to be:

$(3x + 7.5) \cdot 106\% = $126.81$

$(3x + 7.5) \cdot \frac{106}{100} = $126.81$

$3x + 7.5 = $126.81 \cdot \frac {50}{53}$

$3x = $119.6 - 7.5$

$3x = 112.1$

$x \approx \$37$

Hope this helped!

6 0

3 years ago

Help with this plzzzz

kati45 [8]

Answer:

point C

Step-by-step explanation:

both planes include point C so that is where they intersect

4 0

2 years ago

Read 2 more answers

What equation in slope intercept form represents the line that passes through the points (4,6) and (8,0)

madam [21]

Answer:

The slope formed using points (4,6) and (8,0) is $\dfrac{3}{2}$

Step-by-step explanation:

Given as :

The points are (4,6) and (8,0)

( $x_1$ , $y_1$ ) = (4,6)

( $x_2$ , $y_2$ ) = (8,0)

Let The slope that formed = m

So,

slope = m = $\dfrac{y_2 - y_1}{x_2 - x_1}$

m = $\dfrac{0 - 6}{8 - 4}$

Or, m = $\dfrac{6}{4}$

∴ m = $\dfrac{3}{2}$

So, The slope formed using points = m = $\dfrac{3}{2}$

Hence , The slope formed using points (4,6) and (8,0) is $\dfrac{3}{2}$ Answer

6 0

2 years ago