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Afina-wow [57]
3 years ago
11

Plato combining functions mastery test please help

Mathematics
2 answers:
just olya [345]3 years ago
7 0

Answer:

<em>Choice: B.</em>

Step-by-step explanation:

<u>Operations With Functions</u>

Given the functions:

f(x)=\sqrt[3]{12x+1}+4

g(x)=\log(x-3)+6

The function (g-f)(x) can be obtained by replacing both functions and subtracting them as follows:

(g-f)(x)= g(x) - f(x)

(g-f)(x)= \log(x-3)+6 - (\sqrt[3]{12x+1}+4)

Operating:

(g-f)(x)= \log(x-3)+6 - \sqrt[3]{12x+1}-4

Joining like terms:

\boxed{(g-f)(x)= \log(x-3) - \sqrt[3]{12x+1}+2}

Choice: B.

Sav [38]3 years ago
6 0

Answer:

Choice: B.

Step-by-step explanation:

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Class 1 and class 2 have a total of 630 house points. Class 1 have double the number of house points that class 2 have. How many
Wewaii [24]

Answer:

Class 2 has 210 house points.

Step-by-step explanation:

630/3 = 210

1 = 210 x 2 = 420

2 = 210

420 + 210 + 630

6 0
2 years ago
Read 2 more answers
If y varies directly as the square of x and y =12 when x=2 find the value of x when y = 108
telo118 [61]

y = 3(x^2)

108 = 3(x^2)

36 = x^2

x = 6

5 0
3 years ago
If R = 25 cm and S = 7 cm, what is the length of T?
Levart [38]

Answer: 24cm

Step-by-step explanation:

R = 25 cm

S = 7 cm

T = ?

The square of equals to the addition of the square of S and the square of T.

R^2 = S^2 + T^2

25^2 = 7^2 + T^2

T^2 = 25^2 - 7^2

T^2 = 625 - 49

T =✓576

T = 24cm

8 0
3 years ago
What is the constant of variation for the following: 5y=10x?
ss7ja [257]
Y and x are the two varibles so 5 and 10 are your contants

6 0
3 years ago
8. While solving the equation log,(8x) – log,(x2 - 1) = log, 3, Karla found possible solutions at x=3
TiliK225 [7]

The possible solution to the equation given is 3 and -1/3

<h3>Laws of logarithm</h3>

Given the logarithmic expression given as:

log,(8x) – log,(x^2 - 1) = log, 3

Applying the product and quotient rule will give:

log(8x/x^2-1) = log3

8x/x^2-1 = 3

Cross multiply

8x = 3x^2 - 3

3x^2 - 8x - 3 = 0

3x^2 -9x + x - 3 = 0

3x(x-3)+1(x-3)

x - 3 = 0 and 3x = -1

x = 3 and -1/3

Hence the possible solution to the equation given is 3 and -1/3

Learn more on logarithm here: brainly.com/question/25710806

3 0
2 years ago
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