What does that equal

I could really use the help! see Image below. :)<br><br> thanks again.

bekas [8.4K]

Answer:

Sadie didn't split the a^7 term into the largest even exponent and the remaining factor. She stopped at a^2.
3a³b√(6ab)

Step-by-step explanation:

$\sqrt{54a^7b&3}=\sqrt{3^2\cdot 6\cdot a^6\cdot a\cdot b^2\cdot b}=3a^3b\sqrt{6ab}$

4 0

3 years ago

Tom has a can of paint That covers 37 and a 1/2 m² each board on the fence has an area of 3/16th square meters how many boards c

Nutka1998 [239]

Answer:

200

Step-by-step explanation:

3/16= .1875

Take the amount of paint you have, 37.5, and divide it by the amount of space, .1875

37.5/.1875= 200

3 0

3 years ago

PLEASE HELP THANK YOU!!!

Paul [167]

Answer:

Only C is a function

Step-by-step explanation:

To test whether a graph is a function you use the vertical line test.

If you can place a vertical line anywhere on the plane (in the domain of the "function" to be tested) and it intersects the curve at more than one point, the curve is not a function.

We see with A, wherever we put the vertical line it intersects twice.

With B, it intersects infinitely many times.

C is a function because wherever we put the vertical line, it only intersects once.

D is a function because it intersects twice providing we do not put it on the "tip" of the parabola.

The mathematical reasoning behind this is that a function must be well-defined, that is it must send every x-value to one specific y-value. There can be no confusion about where the function's input is going. If you look at graph B and I ask you what is f(3)? Is it 1? 2? 3? ... Who knows, it's not well-defined and so it's not a function. However if I ask you about C, whichever input value for x I give you, you can tell me to which y-value it gets mapped/sent to.

7 0

3 years ago

What is the range of the following function:<br> y = 2(5^x) - 1

Orlov [11]

<h2>Hello!</h2>

The answer is:

The range of the function is:

Range: y>2

or

Range: (2,∞+)

To calculate the range of the following function (exponential function) we need to perform the following steps:

First: Find the value of "x"

So, finding "x" we have:

$y=2(5^{x}-1)\\\frac{y}{2}=5^{x}-1\\\\\frac{y}{2}-1=5^{x}\\\\Log_{5}(\frac{y}{2}-1)=Log_5(5^{x})\\\\x=Log_{5}(\frac{y}{2}-1)$

Second: Interpret the restriction of the function:

Since we are working with logarithms, we know that the only restriction that we found is that the logarithmic functions exist only from 0 to the possitive infinite without considering the number 1.

So, we can see that if the variable "x" is a real number, "y" must be greater than 2 because if it's equal to 2 the expression inside the logarithm will tend to 0, and since the logarithm of 0 does not exist in the real numbers, the variable "x" would not be equal to a real number.

Hence, the range of the function is:

Range: y>2

or

Range: (2,∞+)

Note: I have attached a picture (the graph of the function) for better understanding.

Have a nice day!

5 0

2 years ago

A cylinder is sliced by a plane that is not parallel to the base and intersects only the lateral surface. The resulting cross se

Lady bird [3.3K]

Answer:

c. Ellipse

Step-by-step explanation:

7 0

3 years ago

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