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3 years ago

8

For the function f(x)=5x-3 and g(x)=x+4 which composition produces the greatest output

2 answers:

mr_godi [17]3 years ago

4 0

The first one: 5(x+4)-3=5x+20-3=5x+17
the second one: 5x-3+4=5x+1
when you substitute 1 with both the functions: 5*1+17=22 and 5*1+1=6
the answer would be: (A) produces the greatest output. i think that is how you do it.

Dima020 [189]3 years ago

3 0

F(g(x)) = 5(x+4)-3
= 5x+20-3
= 5x+17

G(f(x)) = 5x-3+4
= 5x+1

Therefore, f composed of g produces the greatest output.

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Calcular: E = (sec245o + tg45o) ctg37o - 2cos60o

Vlada [557]

Answer:

$-2.813$

Step-by-step explanation:

Se simplifica inicialmente la fórmula en términos de las funciones trigonométricas fundamentales (Initially, the formula is simplified in terms of fundamental trigonometric functions):

$(\sec 245^{\circ} + \tan 45^{\circ} )\cdot \cot 37^{\circ} - 2\cos 60^{\circ}$

$\left(\frac{1}{\cos 245^{\circ}}+\frac{\sin 45^{\circ}}{\cos 45^{\circ}} \right)\cdot \left(\frac{\cos 37^{\circ}}{\sin 37^{\circ}} \right) - 2\cdot \cos 60^{\circ}$

$(-2.366 + 1 )\cdot (1.327) - 1$

$-2.813$

7 0

3 years ago

How many months until they price is the same in 22 + 24.50x = 47 + 18.25x

solmaris [256]

I think 89 I don’t know why I am just guessing

8 0

3 years ago

The number of points scored by a basketball player in the first eight games of a season are shown below. 15, 35, 18, 30, 25, 21,

hichkok12 [17]

Answer:

im not sure how the data should be interpreted but here is the distribution. It goes up by .416

Step-by-step explanation:

the average of the first 8 games is 24

the average of the 12 games is 24.416

3 0

3 years ago

Find the principal square root of 14.

Anika [276]

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5 0

2 years ago

Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 133 to 193 cm and

yawa3891 [41]

Answer:

The weight of an adult male who is 172 cm tall is 89.36 kg.

Step-by-step explanation:

The regression equation representing the relationship between height and weight of a person is:

$\hat y=-105+1.13x$

Here

<em>y</em> = weight of a person

<em>x</em> = height of a person

The information provided is:

$\bar x=167.90\ cm\\\bar y=81.47\ kg\\r (X, Y) = 0.228\\p-value=0.023\\\alpha =0.05$

The hypothesis to test the significance of the correlation between height and weight is:

<em>H₀</em>: There is no relationship between the height and weight, i.e. <em>ρ</em> = 0.

<em>Hₐ</em>: There is a relationship between the height and weight, i.e. <em>ρ </em>≠ 0.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level, then the null hypothesis will be rejected and vice-versa.

According to information provided:

<em>p</em>-value = 0.023 < <em>α</em> = 0.05

The null hypothesis was rejected at 5% level of significance.

Thus, concluding that there is a relationship between the height and weight.

Compute the weight of an adult male with height, <em>x</em> = 172 cm as follows:

$\hat y=-105+1.13x$

$=-105+(1.13\times 172)\\=-105+194.36\\=89.36$

Thus, the weight of an adult male who is 172 cm tall is 89.36 kg.

5 0

3 years ago