Solve :3(2x+1)^-1 + 5x=-1<br>

1. There are 10 people in a math club. Three people will be chosen for the Pi Day committee. How many different ways can club me

kaheart [24]

Answer: 120

Step-by-step explanation:

From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.

The number of different ways that the club members can structure the committee goes thus:

This can be solved by:

nCr = n! / r! (n - r)!

where n = 10

r = 3

= n! / r! (n - r)!

= 10! / 3! (10 - 3)!

= (10 × 9 × 8) / (3 × 2)

=120

3 0

2 years ago

What two numbers multiply to 54 and add up to 7

k0ka [10]

Xy = 54
x + y = 7

$xy = 54$
$\frac{xy}{x} = \frac{54}{x}$
$y = \frac{54}{x}$

$x + y = 7$
$x + \frac{54}{x} = 7$
$\frac{x^{2}}{x} + \frac{54}{x} = 7$
$\frac{x^{2} + 54}{x} = 7$
$x^{2} + 54 = 7x$
$x^{2} - 7x + 54 = 0$
$x = \frac{-(-7) \± \sqrt{(-7)^{2} - 4(1)(54)}}{2(1)}$
$x = \frac{7 \± \sqrt{49 - 216}}{2}$
$x = \frac{7 \± \sqrt{-167}}{2}$
$x = \frac{7 \± i\sqrt{167}}{2}$
$x = \frac{7 \± 12.9i}{2}$
$x = 3.5 \± 6.45i$
$x = 3.5 + 6.45i$ $or$ $3.5 - 6.45i$

x + y = 7
3.5 + 6.45i + y = 7
- (3.5 + 6.45i) - (3.5 + 6.45i)
y = 3.5 - 6.45i
  (x, y) = (3.5 + 6.45i, (3.5 - 6.45i)

  or

  x + y = 7
3.5 - 6.45i + y = 7
- (3.5 - 6.45i)   - (3.5 - 6.45i)
y = 3.5 + 6.45i
(x, y) = (3.5 - 6.45i, 3.5 + 6.45i)

The two numbers that add up to 7 and can multiply to 54 is 3.5 ± 6.45i.

5 0

3 years ago

As Saturn revolves around the sun, it travels at a speed of approximately 6 miles per second. Convert this speed to miles per mi

bekas [8.4K]

Saturn will travel 86,400 miles in 4 minutes.

6 0

3 years ago

Read 2 more answers

Which function represents a vertical stretch of an exponential function?

nika2105 [10]

Answer:

A. $f(x)=3(\frac{1}{2})^x$

Step-by-step explanation:

The options are:

$A. f(x)=3(\frac{1}{2})^x\\\\B. f(x)=\frac{1}{2}(3)^x\\\\C. f(x)=(3)^{2x}\\\\ D. f(x)=3^{(\frac{1}{2}x)}$

For this exercise it is important to remember that, by definition, the Exponential parent functions have the form shown below:

$f(x) = a^x$

Where "a" is the base.

There are several transformations for a function f(x), some of those transformations are shown below:

1. If $bf(x)$ and $b>1$ , then the function is stretched vertically by a factor of "b".

2. If $bf(x)$ and $0$ , then the function is compressed vertically by a factor of "b"

Therefore, based on the information given above, you can identify that the function that represents a vertical stretch of an Exponential function, is the one given in the Option A. This is:

$f(x)=3(\frac{1}{2})^x$

Where the factor is:

$b=3$

And $3>1$

7 0

2 years ago

Read 2 more answers

In a test gender selection technique results consisted of 250 baby girls and 234 boys. Based on this result what is the probabil

Assoli18 [71]

Answer: 125/242

Step-by-step explanation: Probability is favorable outcomes over all outcome, since there were 250+234 total outcome, and 250 were favorable (girls), then the probability is 250/250+234=250/484=125/242

8 0

2 years ago

Solve :3(2x+1)^-1 + 5x=-1​

Solve :3(2x+1)^-1 + 5x=-1