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3 years ago

Solve the following equation:(g x f)(x) when f(x) = x+5 and g(x) = 7x

1 answer:

8 0

(g o f)(x)=g(f(x))

basically
put f(x) for every x in g(x)
g(f(x))=7(f(x))
f(x)=x+5
g(f(x))=7(x+5)
g(f(x))=7x+35

(g o f)(x)=7x+35

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A spinner has three sections. This table shows the results of spinning the arrow on the spinner 80 times.

UNO [17]

The experimental probability of the arrow stopping on Section 2 will be $\rm \frac{3}{8}$ . is the ratio of the favorable event to the total number of events.

<h3>What is probability?</h3>

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

No of arrows given in the different section ;

Section 1=18

Section 2=30

Section 3=32

The probability that the arrow stopping on Section 2 is found as;

$\rm P = \frac{Favourable \ outcomes }{Total \ outcomes } \\\\\ P= \frac{30}{18+30+32} \\\\ P=\frac{30}{80}\\\\ P= \frac{3}{8}$

Hence, the experimental probability of the arrow stopping on Section 2 will be $\rm \frac{3}{8}$ .

More about the probability link is given below.

brainly.com/question/795909

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2 years ago

Anthony teaches a pottery painting class in order to save up money for a nice

Marysya12 [62]

Answer:

Anthony teaches a pottery painting class in order to save up money for a nice

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If Anthony randomly chose 4 of the pieces of pottery to glaze, fire, and set on

the top shelf in a certain order, what is the probability that just the first 2 of the

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4 years ago

explain how you would find the height of the rectangular prism if you know that the volume is 60 cubic centers in the area of th

nikdorinn [45]

You take 60 and divide it by 10 which is 6 so the height would be 6

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3 years ago

Read 2 more answers

an ostrich egg weighs 2.9 pounds.The difference between the weight of this egg and the weight of an emu egg is 1.6 pounds.write

Alex73 [517]

Answer:

$2.9-w=1.6$

Step-by-step explanation:

Let w be weight of emu egg in pounds.

We have been given that an ostrich egg weighs 2.9 pounds.The difference between the weight of this egg and the weight of an emu egg is 1.6 pounds.

We can represent this information as:

$2.9-w=1.6$

Therefore, the equation $2.9-w=1.6$ will give us the weight of the emu egg, w, in pounds.

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3 years ago

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Use a graphing calculator to graph f(x) = x+cos(kx). Use calculus to determine which values of k lead to a function with no loca

nataly862011 [7]

Answer:

Below, you can see the graph of the function:

f(x) = x + cos(k*x)

for different values of k, as follows:

red: k = 1

green: k = 2

orange: k = 0.

Now let's find the values of k such that our function does not have local maxima nor local minima.

First, remember that for a given function f(x), the local maxima or minima points are related to the zeros of the first derivate of f(x).

This means that if:

f'(x0) = 0.

Then x0 is a maxima, minima or an inflection point.

Then if a function is such that the f'(x) ≠ 0 , ∀x, then this function will not have local maxima nor minima.

Now we have:

f(x) = x + cos(k*x)

then:

f'(x) = 1 - k*sin(k*x)

This function will be zero when:

1 = k*sin(k*x)

1/k = sin(k*x)

now, remember that -1 ≤ sin(θ) ≤ 1

then if 1/k is smaller than -1, or larger than 1, we will not have zeros.

And this will happen if -1 < k < 1.

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3 years ago