MATHEMATICS HIGH SCHOOL

What is the simplified base for the function f(x) = 2(3√27(2x)?2
3
9
18

Answers

Answer 1

Answer:

Answer:

option C is correct i.e. 9

Step-by-step explanation:

We have given that : $f(x)=2 \sqrt[3]{27^(2x)}$

To find : The simplified base of the function f(x)

Solution:

Now, we solve the equation

$f(x)=2 \sqrt[3]{27^(2x)}$

$f(x)=2(27^x)^{(2)/(3)}$

$f(x)=2(3^(2x))$

$f(x)=2((3^2)^(x))$

$f(x)=2(9^(x))$

Therefore, the simplified base of the function f(x) is 9

Answer 2

Answer:

Answer:

Option C is correct

9 the simplified base for the given function f(x)

Step-by-step explanation:

Using exponent rules:

$(x^m)^n = x^(mn)$

$\sqrt[n]{x^b} = x^{(b)/(n)}$

Given the function:

$f(x) = 2\sqrt[3]{27^(2x)}$

We can write 27 as:

$27 = 3 \cdot 3 \cdot 3 = 3^3$

then;

$f(x) = 2\sqrt[3]{(3^3)^(2x)}$

Apply the exponent rules:

$f(x) = 2\sqrt[3]{3^(6x)}$

Apply the exponent rules:

$f(x) =2 \cdot (3^(6x))^{(1)/(3)} = 2 \cdot 3^(2x)$

⇒ $f(x) = 2 \cdot (3^2)^x = 2 \cdot 9^x$

⇒ $f(x) =2 \cdot 9^x$

On comparing with exponential function $f(x) = ab^x$ where, b is base of the exponent function, then

b = 9

Therefore, the simplified base for the given function is, 9

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Assuming that $g(x) = (1)/(3) f(x) \: and \: h(x) = - g(x) + 4$
fill in the following table.

Answers

The value of the functions g(-6) is 6, g(0) is 5, g(7) is 8, h(-6) is 2, h(0) is 9 and h(7) is 12.

x -6 0 7

f(x) -18 15 24

g(x) 6 5 8

h(x) 2 9 12

g(-6) = 6 because g(x) = 1/3 f(x) and f(-6) = -18.

g(0) = 5 because g(x) = 1/3 f(x) and f(0) = 15.

g(7) = 8 because g(x) = 1/3 f(x) and f(7) = 24.

h(-6) = 2 because h(x) = -g(x) + 4 and g(-6) = 6.

h(0) = 9 because h(x) = -g(x) + 4 and g(0) = 5.

h(7) = 12 because h(x) = -g(x) + 4 and g(7) = 8.

Please note that these are just the values of g(x) and h(x) at the specific points given in the table. To find the values of g(x) and h(x) for other values of x, you can use the given formulas.

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Sophia has 3 pink tulips and 3 white tulips. what fraction of sophias tulips are pink

Answers

3/6. Because she has 6 total flower and 3 are pink so 3/6

Answer: 3/6 of the tulips are pink.

Grandma’s Bakery sells single-crust apple pies for $6.99 and double crust cherry pies for $10.99. The total number of pies sold on a busy Friday was 36. If the amount collected for all the pies that day was $331.64, how many of each type were sold?

Answers

Answer:

15 single-crust apple pies were sold and 21 double-crust cherry pies were sold.

Step-by-step explanation:

Let a be the number of single-crust apple pies sold

Let c be the number of double-crust cherry pies sold

The product of twenty-one negative integers is negative. TRUE or FALSE.

Answers

The answer to the question is true

The answer is true...

How to solve this math 3-3x6+2=

Answers

The value of the expression 3-3x6+2 is -13.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 3-3x6+2

Three minus three times of six plus two.

The operators in the expression are plus and minus which are of addition , subtraction and multiplication.

To solve this equation, we need to first multiply 3 and 6, 3×6

which is 18.

we subtract 18 from 3, which is -15.

3-18+2

5-18

When eighteen is subtracted from 5 we get minus thirteen.

-13

Hence, the value of the expression 3-3x6+2 is -13.

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Lets change the equation.
3 -(3*6) +2 Multiply 3*6 first and get 18
3 -18+2 - Same as 3-(18)+2
-15 +2 3 -18 is the same as doing 18 -3, but with the negative
Do the same to -15 +2

Answer is -13

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