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3 years ago

Take a factor out of the square root:

Mathematics

1 answer:

Nat2105 [25]3 years ago

6 0

Answer:

See below.

Step-by-step explanation:

Lets take √72:

Factoring 72 to find perfect squares:

72 = 2*2*2*3*3

The largest perfect square in the above = 2*2*3*3 = 36.

So we can write 72 as 36*2.

√72 = √(36 * 2)

√36 * √2

= 6√2.

One more example:

√18 = √(2*3*3)

= √9*√2

= 3√2.

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How is the graph of the parent function of y = RootIndex 3 StartRoot 0.5 x EndRoot transformed to produce the graph y = RootInde

tresset_1 [31]

If any constant is added in the variable of the function. Then the function will shift towards left. Then the correct option is C.

<h3>What is a function?</h3>

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The functions are given below.

y = ∛(0.5 + x)

y = ∛x

If any constant is added in the variable of the function. Then the function will shift towards left.

Then the correct option is C.

More about the function link is given below.

brainly.com/question/5245372

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5 0

2 years ago

Holly begins with 1 penny in her piggy bank. She adds 2 pennies on day 1, 4 pennies on day 2, and 8 pennies on day 3. She contin

muminat

Answer:

All the options are correct.

Step-by-step explanation:

Holly begins with 1 penny in her piggy bank. She adds 2 pennies on day 1, 4 pennies on day 2, and 8 pennies on day 3. She continues this pattern for 30 days.

The pattern which she choses is $2^n$ where n denotes the number of days.

The graph of this sequence would pass the vertical line test.

" Vertical line test: A function can only have one output, y, for each unique input, x " .

Here also y=2^n and x=n.

Each day corresponds to a unique amount of pennies in this sequence.

Since the sequence is increasing, hence option B is correct.

The graph of this sequence would pass the horizontal line test.

A test use to determine if a function is one-to-one.

As for each n we get a unique value.

Hence, option C is correct.

Each amount of pennies corresponds to a unique day in this sequence.

This option is also true as each amount is a function of number of days.

5 0

3 years ago

Read 2 more answers

Reid will be driving through Spain this summer. He did some research and knows that the average price of gas in Spain is approxi

Molodets [167]

Answer:

(a)The amount of fuel in dollars = $1.62

(b)The rate equivalent to in U.S. dollars per gallon = $ 1.45

Step-by-step explanation:

Reid will be driving through Spain this summer. He did some research and knows that the average price of gas in Spain is approximately 1.12 euros per liter.

1 USD = 0.69 euros

We have to find the money that we should pay in order to get the same amount of fuel.

1 euro = $\frac{1}{0.69}$

1 euro = $1.45

So 1.12 euros = 1.12 $\times$ 1.45 = $1.62

(a)The amount of fuel in dollars = $1.62

(b)The rate equivalent to in U.S. dollars per gallon = $ 1.45

5 0

3 years ago

Liz plays the pianao for 2 hours a day, 5 days a week. How many minutes is that?!?!?

Gnom [1K]

Answer: 10 minutes. explanation; 5 x2 = 10

3 0

3 years ago

Read 2 more answers

How to solve 2x-1/2=3-x

ValentinkaMS [17]

To solve for x:
Move all the terms containing "x" to the left side of the equation. Do this by adding x to both sides.

2x+x=3x. The new equation is:
3x-1/2=3

Now, move all terms not containing "x" to the right side of the equation. Do this by adding 1/2 to both sides.
3x=3+1/2 The new equation is:
3x=3 1/2, or 3.5

The final step is to isolate x. To do so, divide each side by 3.
3x/3 = 3 1/2 /3 The new equation is:
x=1 1/6

5 0

3 years ago