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4 years ago

Which expression represents the composition [g o f o h](x) for the functions below?

Mathematics

1 answer:

asambeis [7]4 years ago

5 0

Answer: 16875x³-13500x²+3600x-320

Step-by-step explanation:

[gοfοh](x) means g(f(h(x))). So you plug in h(x) into f(x) and that into g(x).

f(3x)=5(3x)-4=15x-4

g(f(3x))=5(15x-4)³

g(f(3x))=5(3375x³-2700x²+720x-64)

g(f(3x))=16875x³-13500x²+3600x-320

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Fiecare dintre cei 25 de elevi ai clasei a |||-a a realizat un jurnal al luni . Stiind ca pentru fiecare zi s-a folosit o pagina

sammy [17]

The question in English
Each of the 25 students in the class has made a journal on Monday. Knowing that every day a page was used and that the month is 31 days, find out how many pages the logs of all students.

Let
x--------------> total students
y--------------> total days in a month
z--------------> total page used per one student in 1 day
T--------------> total page used per total students in 1 month

we know that
x=25 students
y=31 pages
z=1 page

T=[x]*[y]*[z]------------> T=[25]*[31]*[1]------------> T=775 pages

the answer is 775 pages

the answer in Romanian

lăsa
x--------------> numărul total de elevi
y--------------> total zile într-o lună
z--------------> pagina totală utilizată pentru un student în 1 zi
T--------------> pagina totală utilizată pentru toți elevii în 1 lună
noi stim aia
x=25 elevi
y=31pagini
z=1 pagină

T=[x]*[y]*[z]------------> T=[25]*[31]*[1]------------> T=775 pagini

răspunsul este de 775 de pagini

5 0

4 years ago

A family plans to have the hardwood floors in their square dining room re-finished, and new baseboards installed. The cost of re

Alexus [3.1K]

Answer:

Dimension of room = 18 foot x 18 foot

Step-by-step explanation:

Let the square room is of side a foot,

The cost of re-finishing the hardwood floors is $2.25 per square foot and the cost of purchasing and installing the new baseboards $14.5 per linear foot

Total cost is $1773.

Cost for re-finishing the hardwood floors = Area x 2.25

Area = a²

Cost for re-finishing the hardwood floors = 2.25 a²

Cost of purchasing and installing the new baseboards = Perimeter x 14.5

Perimeter = 4a

Cost of purchasing and installing the new baseboards = 4a x 14.5 = 58 a

Total cost = Cost for re-finishing the hardwood floors + Cost of purchasing and installing the new baseboards

1773 = 2.25 a² + 58a

2.25 a² + 58a - 1773 = 0

a = 18 or a = -43.77(not possible)

Dimension of room = 18 foot x 18 foot

7 0

4 years ago

Which value of x make the equation 1.25(4x − 10) = 7.5 true?

Artemon [7]

Answer:

55.76

Step-by-step explanation:

semoga mambantu

7 0

3 years ago

Read 2 more answers

Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 192 cm and

Bumek [7]

Answer:

The weight of an adult male who is 158 cm tall is 59.32 kg.

Step-by-step explanation:

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

$\hat y=-105+1.04 x$

Here,

y = weight of a person (in kg)

x = height of a person (in cm)

The information provided is:

$\bar x=167.77\ \text{cm}\\\bar y=81.54\ \text{cm}\\r(X, Y)=0.201\\p-value=0.045$

The significance level of the test is, α = 0.01.

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

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

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

Decision rule:

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

According to information provided:

p-value = 0.045 > 0.01

The null hypothesis will not be rejected at 1% level of significance.

Thus, concluding that there is no relationship between the height and weight.

Compute the weight of an adult male with height, x = 158 cm as follows:

$\hat y=-105+1.04 x$

$=-105+(1.04\times 158)\\=-105+164.32\\=59.32$

Thus, the weight of an adult male who is 158 cm tall is 59.32 kg.

6 0

3 years ago

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

gizmo_the_mogwai [7]

The test contains 10 three-point questions and 14 five-point questions.

7 0

4 years ago

Read 2 more answers