MATHEMATICS HIGH SCHOOL

Which expression is equivalent to 17^(4) ÷ 17^(6)(17^(-3)/(17^(-2)? A. 17^-5
B. 17^-1
C. 17^3
D. 17^4

Answers

Answer 1

Answer: it’s C, i did the exact same question on my test and got it right.

Answer 2

Answer:

Final answer:

The expression 17^4 ÷ 17^6(17^-3)/(17^-2) is equivalent to 17^-3.

Explanation:

The expression 17^(4) ÷ 17^(6)(17^(-3)/(17^(-2)) can be simplified using the rules of exponents. To divide two powers with the same base, we subtract their exponents. To multiply two powers with the same base, we add their exponents. Applying these rules, we can simplify the expression as follows:

17^(4-6) * (17^(-3+2)) = 17^(-2) * 17^(-1) = 17^(-2-1) = 17^(-3).

Therefore, the expression is equivalent to 17^(-3), which means the correct answer is A. 17^(-3).

Learn more about Simplifying Exponents:

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1) Find the inverse function of f(x)=1/2x+32)Use composition to verify that they are inverse relations?
3) f^ Domain : Range:
4) f^-1 Domain : Range:

Answers

y = 1/2x + 3
change x and y

x = 1/2y + 3
now find the value of y and that is inverse function

x - 3 =1/2 y
y = 2x- 6

f-(x) = 2x - 6

for both domain : ( - ∞ , + ∞ )

range f (x) : ( - ∞ , + ∞ ) - { 0 }
range f-(x) :( -∞ , +∞)

To find the inverse function you need to change $f(x)$ (call it $y$ ) and $x$ , then solve for $y$ :

$y = (1)/(2)x+3 \n x = (1)/(2)y + 3 \n x - 3 = (1)/(2)y \n 2x-6 = y$

So now you have $f^(-1)(x) = 2x-6$ .

Composition to prove inverse relation: $f \circ f^(-1) (x) = x$ :

$f(f^(-1)(x)) = (1)/(2)(2x-6)+3 = x - 3 + 3 = x \square$

Domain and Range of both functions is Real numbers since they are both linear equations.

How many people preferred WCLM

Answers

96 people preferred WCLM

96 people prefer wclm

Which of the following expressions is incorrect? A. |-12| = 12 B. |12| = 12 C. -|-12| = -12 D. -|12| = 12

Answers

Answer:

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

A and D

In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, and a video game costs $39.99. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?

Answers

Answer:

$ 2.30

Step-by-step explanation:

Given that the sales tax rate $= 8(1)/(2)\%=8.5\%$

The cost of the book is $ 12.99.

So, the tax on the book= 8.5% of 12.99

$= \frac {8.5}{100}* 12.99$

=1.10

So, the sales tax on the book is $ 1.10.

The cost of the video game is $ 39.99.

So, the tax on the book= 8.5% of 39.99

$= \frac {8.5}{100}* 39.99$

=3.30

So, the sales tax on the book is $ 3.40.

The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30

So, the tax on the video game is $ 2.30 more than then tax on the book.

The French club is holding a car wash fundraiser. They are going to charge $20 per car, and expect between 30 and 100 cars. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values.A: number of cars; money raised; 30 to 100 cars; $600 to $2000
B: money raised; number of cars; 30 to 100 cars; $600 to $2000
C: number of cars; money raised; $600 to $2000; 30 to 100 cars
D: money raised; number of cars; $600 to $2000; 30 to 100 cars

Answers

independent variable = number of cars with domain 30 to 100 cars
dependent variable = moner raised with range $600 to $2000

How to find cos(-19pi/6)

Answers

Use the unit circle.

-19pi/6 is the same as 3pi + pi/6
This means that it goes around the unit circle 3pi times and ends up at 7pi/6

So -19pi/6 is equivalent to 7pi/6.

Looking at the unit circle, cos(7pi/6) = -√3/2

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