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3 years ago

Solve the equation for x: 2x + 22 = 4(x+3)

1 answer:

8 0

2x + 22 = 4(x + 3)...distribute thru the parenthesis
2x + 22 = 4x + 12...subtract 2x from both sides, subtract 12 from both sides
22 - 12 = 4x - 2x...simplify
10 = 2x...divide both sides by 2
10/2 = x...reduce
5 = x <==

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The temperature in degrees Fahrenheit of a corpse t hours after death is 58+40e−t/2458+40e−t/24. What is the temperature of the

kondor19780726 [428]

Answer:

58+40e−t/2458+40e−t/24

step by step explanation:

Normally, the temperature of a corpse is the temperature of the surrounding environment.

This is done by losing or gaining heat to equilibrate to that of the surrounding.

Let's assume that the final temperature of the corpse is after t hrs.

Then the temperature of the surrounding in degree Fahrenheit is equal to 58+40e−t/2458+40e−t/24

5 0

3 years ago

Read 2 more answers

Help please. I don’t understand this topic

forsale [732]

The first option is your answer.

Sigma notation is just a fancy way to shorten a sum of a series of numbers using a set equation. The "n =" tells you where to start in the sequence and the top number tells you where to stop.

7 0

3 years ago

Which is the graph of f (x) = 4 (1/2) Superscript x?

miss Akunina [59]

Answer:

Option (2) is correct graph.

Step-by-step explanation:

Given:

The function to graph is given as:

$f(x)=4(\frac{1}{2})^x$

Now, the above function is an exponential function of the form $f(x)=ka^x$

Where, 'k' and 'a' are constants.

The range of an exponential function is always greater than 0.

The domain is all real numbers.

Now, for graphing it, we need to find some points on it and its end behaviour.

Now, for x = 0, the function value is given as:

$f(0)=4(\frac{1}{2})^0=4$

So, (0, 4) is a point on the graph.

Now, for x = 1, the function value is given as:

$f(1)=4(\frac{1}{2})^1=4\times\frac{1}{2}=2$

So, (1, 2) is another point on the graph.

Now, for x = 2, the function value is given as:

$f(2)=4(\frac{1}{2})^2=4\times\frac{1}{4}=1$

So, (2, 1) is another point on the graph.

Now, as 'x' tends to ∞, the function value tends to:

$f(x\to\infty)=4\cdot\frac{1}{2}^{\infty}=\frac{4}{\infty}=0$

So, as

$x\to\infty,f(x)\to0\\\\x\to-\infty,f(x)\to\infty$

Now, from among all the options, only option (2) fulfills all the conditions given above.

So, option (2) is correct graph.

5 0

3 years ago

Adam is 4 years older than Tara. Five years ago the sum of their ages was 48. Use algebraic equations to represent the situation

lord [1]

Answer:

Tara is 27 and Adam is 31.

Step-by-step explanation:

Tara: x years old

Adam: x+4

Subtract the five years to get their current age

x-5 and x+4-5

x-5 and x-1

(x-5) + (x-1) = 48

x-5 + x-1 = 48

2x - 6 = 48

2x= 48+6

2x= 54

x= 27

Tara is 27 and Adam is 31

3 0

3 years ago

A pole is 3.4 m tall casts a shadow that is 1.8 m long. At the same time, a nearby tower casts a shadow that is 39.75 m long. Ho

KATRIN_1 [288]

Answer:

Step-by-step explanation:

For this, you need to solve a proportion-

3.4 x

----- = -----

1.8 39.75

3.4*39.75=135.15

135.15/1.8= 75.0833.....

75.0833.. is rounded to 75

7 0

3 years ago