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3 years ago

8

Solve:

2 answers:

baherus [9]3 years ago

4 0

Answer: C. (third option) 3x^2+ 20 +12

Advocard [28]3 years ago

3 0

First we look at the equation an determine our common denominator.

(X²-X-6) / X² = (X-6) / 2X + (2X+12) / X (let's use 2X² as the comm denom)

multiply the first fraction by 2, the second by X, and the third by 2x

(2x²-2x-12) / 2x² = (x²-6x) / 2x² + (4x²+24x) / 2x² (dropping the denominator)

2x² - 2x - 12 = x² - 6x + 4x² + 24x (simplify)

-3x² - 20x - 12 (multiply by -1)
3x² + 20x + 12
(x + 6) (3x + 2) (factored version)

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Given the following functions, find and simplify (f • g)(x) f(x)=—x+3 g(x)=-x-1

Hitman42 [59]

Answer:

$(f\circ g)(x)= x + 4$

Step-by-step explanation:

<u>Composite Function</u>

Given f(x) and g(x) as real functions, the composite function $(f\circ g)(x)$ is defined as:

$(f\circ g)(x)=f(g(x))$

It can be found by substituting g into f.

We are given the functions:

f(x) = -x + 3

g(x) = -x -1

Find

$(f\circ g)(x)=f(g(x))= - (-x -1) + 3$

Removing parentheses:

$(f\circ g)(x)= x + 1 + 3$

Simplifying:

$\mathbf{(f\circ g)(x)= x + 4}$

5 0

3 years ago

The age of the Hawaiian islands gets older as you move from east to west. If the half-life of K-40 is 1.3 billion years, approxi

Mumz [18]

Answer:

$t \approx 750550.12\,yr$

Step-by-step explanation:

The time constant of the isotope is:

$\tau = \frac{1.3\times 10^{9}\,yr}{\ln 2}$

$\tau \approx 1.876 \times 10^{9}\,yr$

The decay of the isotope is described by the following model:

$\frac{m}{m_{o}} = e^{-\frac{t}{\tau} }$

Now, the time is cleared in the equation:

$t = -\tau \cdot \ln \frac{m}{m_{o}}$

$t = - (1.876\times 10^{9}\,yr)\cdot \ln 0.9996$

$t \approx 750550.12\,yr$

5 0

3 years ago

If you have one quarter, nine pennies, six dimes, and one nickle, how much money would you have?

Nady [450]

Answer:

99 cents

Step-by-step explanation:

one quarter=25 cents

nine pennies= 9 cents

six dimes= 60 cents

one nickle= 5 cents

25+9+60+5=85+14=99

3 0

2 years ago

Read 2 more answers

The data set of water consumption for a small town in gallons per day is listed below. What is the effect on the mean and standa

Snowcat [4.5K]

Answer:

Step-by-step explanation:JHVJVVH

8 0

2 years ago

Can someone help me find the answer to these 3 problems if so thank you .

alexandr1967 [171]

Answer:

1. r+s²=49

2. pq²=24

3. -4xy-6x²+2x²y-6y= -54

Step-by-step explanation:

1. r+s²=0+7²=49

2. pq²=(6)(2)²=6(4)=24

3. -4xy-6x²+2x²y-6y= -4(3)(2)-6(3)²+2(3)²(2)-6(2)

= -24-6(9)+2(9)(2)-12

= -24-54+36-12

= -78+36-12

= -42-12

= -54

5 0

3 years ago