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2 years ago

Find the function h(x) = f(x) + g(x) if f(x) = 4^x + 2 and g(x) = x - 4.

Mathematics

1 answer:

Rzqust [24]2 years ago

4 0

Answer:

h( x) = 4^x + x - 2

Step-by-step explanation:

h(x)=f(x)+g(x)=4^x+2+x-4=<u>4^x+x-2</u>

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3. Armen los siguientes prismas a partir de los que construyeron con su material recor

KiRa [710]

Answer:

can you translate to english

Step-by-step explanation:

I can't understand

6 0

2 years ago

3 regions are defined in the figure find the volume generated by rotating the given region about the specific line

anastassius [24]

The volume generated by rotating the given region $R_{3}$ about OC is $\frac{4}{g} \pi$

<h3>Washer method</h3>

Because the given region ( $R_{3}$ ) has a look like a washer, we will apply the washer method to find the volume generated by rotating the given region about the specific line.

solution

We first find the value of x and y

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

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

$y=2x$

$x=\frac{y}{2}$

$\int\limits^a_b {\pi } \, (R_{o^{2} } - R_{i^{2} } ) dy$

$R_{o} = x = \frac{y}{2}$

$R_{i} = x= (\frac{y}{2}) ^{4}$

$a=0, b=2$

$v= \int\limits^2_o {\pi } \, [(\frac{y}{2})^{2} - ((\frac{y}{2}) ^{4} )^{2} ) dy$

$v= \pi \int\limits^2_o= [\frac{y^{2} }{4} - \frac{y^{8} }{2^{8} }} ] dy$

$v= \pi [\int\limits^2_o {\frac{y^{2} }{4} } \, dy - \int\limits^2_o {\frac{y}{2^{8} } ^{8} } \, dy ]$

$v=\pi [\frac{1}{4} \frac{y^{3} }{3} \int\limits^2_0 - \frac{1}{2^{8} } \frac{y^{g} }{g} \int\limits^2_o\\v= \pi [\frac{1}{12} (2^{3} -0)-\frac{1}{2^{8}*9 } (2^{g} -0)]\\v= \pi [\frac{2}{3} -\frac{2}{g} ]\\v= \frac{4}{g} \pi$

A similar question about finding the volume generated by a given region is answered here: brainly.com/question/3455095

6 0

2 years ago

Please Help!! I will give brainliest to the quick and correct answer

klio [65]

Answer:

The correct option is the graph on the bottom right whose screen grab is attached (please find)

Step-by-step explanation:

The information given are;

The required model height for the designed clothes should be less than or equal to 5 feet 10 inches

The equation for the variance in height is of the straight line form;

y = m·x + c

Where x is the height in inches

Given that the maximum height allowable is 70 inches, when x = 0 we have;

y = m·0 + c = 70

Therefore, c = 70

Also when the variance = 0 the maximum height should be 70 which gives the x and y-intercepts as 70 and 70 respectively such that m = 1

The equation becomes;

y ≤ x + 70

Also when x > 70, we have y ≤ $\mid$ -x + 70 $\mid$ with a slope of -1

To graph an inequality, we shade the area of interest which in this case of ≤ is on the lower side of the solid line and the graph that can be used to determine the possible variance levels that would result in an acceptable height is the bottom right inequality graph.

6 0

3 years ago

Your friend can clap his hands 28 times in 12 seconds. How many times can your friend clap his hands in 0.5 minute?

Allushta [10]

60 seconds in a minute

12 goes into 60, 5 times,
So 5 * 28 = 140
140 claps per minute

0.5 minute is 30 seconds, half a minute so divide by 2,
140/2 = 70

70 times every 0.5 minutes

7 0

3 years ago

What is 2/3 divided by 2/9

serg [7]

Your answer: 2/3/2/9 = 0.037037037037037

4 0

3 years ago

Read 2 more answers