MATHEMATICS HIGH SCHOOL

Which expressions are equivalent to the one below? Check all that apply. 9^xa. 9 * 9^(x 1)
b. (36/4)^x
c. 36^x/4
d. 9 * 9 ^(x-1)
e. 36^x/4^x
f. x^5

Answers

Answer 1
Answer:

In between given 6 exponential expressions, ((36)/(4) )^(x), 9 × 9^(x - 1), and  (36^(x))/(4^(x)) are equivalent to 9^(x)

What is an exponential expression?

"An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable."

Given expression is 9^(x).

a. 9 × 9^(x + 1) is equal to  9^(x + 2).

b. ((36)/(4) )^(x) is equal to 9^(x).

c. (36^(x))/(4) is equal to 9^(x) × 4^(x - 1).

d. 9 × 9^(x - 1) is equal to  9^(x).

e. (36^(x))/(4^(x)) is equal to  9^(x).

f. x^(5) is equal to x^(5) .

Therefore, from the given expressions,  ((36)/(4) )^(x), 9 × 9^(x - 1), and  (36^(x))/(4^(x)) are equivalent to 9^(x).

Learn more about an exponential expression here: brainly.com/question/11471525

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Answer 2
Answer: a.\ 9\cdot9^(x+1)=9^(1+x+1)=9^(x+2)\neq9^x\n\nb.\ \left((36)/(4)\right)^x=9^x\ OK\ :)\n\nc.\ (36^x)/(4)\neq9^x\n\nd.\ 9\cdot9^(x-1)=9^(1+x-1)=9^x\ \ OK\ :)\n\ne.\ (36^x)/(4^x)=\left((36)/(4)\right)^x=9^x\ \ \ OK\ :)\n\nf.\ x^5\neq9^x\n\nAnswer:\huge\boxed{b;\ d;\ e}

Used:\n\na^n\cdot a^m=a^(n+m)\n\n(a^n)/(b^n)=\left((a)/(b)\right)^n

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An object travels 8 miles in 20 min at a constant speed. What is the objects speed in miles per hour? A. 32
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Answers

20x3 = 60 mins/ one hour
8x3 =24
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Can anyone please help ????? And if you do thank you

Answers

Answer:

a/b

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hypotenuse

sin C = a/b

Answer:

F

Step-by-step explanation:

On paper, Soh Cah Toa can help you remember how to do this stuff

A car drives 12 miles north, turns, and then drives 8 miles east. How far is the car from its starting point? a. Use the Pythagorean theorem to find the length of the missing side. Be sure to indicate which root represents the answer and write the answer in simplest radical form.
b. Use a calculator to change the answer to decimal form. Round the answer to the nearest tenth. Using this decimal number, write a sentence to explain the meaning of the answer in this situation.

Answers

a. Using the pythagorean theorem : c = √(a² + b²)
Let: a = 12; b = 8

Substituting the values:
c = √(12² + 8²)
c = √(144 + 64)
c = √(208)
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c = +-4√13

The positive root indicates the answer. The car is 4√13 miles from the starting point.

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What is the solution to this system of linear equations?

x + y = 4

x − y = 6

Answers

Answer:

x=5 , y= -1

Step-by-step explanation:

You can see that one of the y's is negative while the other is positive, so you can add them together.

Now, negative 1 + positive 1 = 0, so the y's cancel out leaving only the x's.

Remember you can't add one part without adding the other so x+x = 2x, and 4+6=10. This makes the final equation 2x=10.

You can simplify that into x=5. This gives you the answer for x

Then substitute x=5 into any of the two equations (doesn't matter) I'll use the first one. So if you substitute it you get 5+y=4.

Simplified, y= -1

Therefore, x= 5 and y=-1

Answer:

(5,-1)

Step-by-step explanation:

Got it right on edge cause of the guy above me

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Answers

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