Help??????????????????????

1 point

Dimas [21]

Answer:

The simplest radical form is $9\sqrt{5}$ ⇒ (c)

Step-by-step explanation:

To simplify any square root;

Factorize the number under the root using prime numbers

Take out the root any number repeated twice as one number

Examples:

1. Simplify $\sqrt{8}$

factorize 8 using prime numbers

8 = 2 × 2 × 2, then $\sqrt{8}=\sqrt{(2)(2)(2)}$

Take two of 2 out the root, then $\sqrt{8}=2\sqrt{2}$

2. Simplify $\sqrt{18}$

factorize 18 using prime numbers

18 = 2 × 3 × 3, then $\sqrt{18}=\sqrt{(2)(3)(3)}$

Take the two 3 out the root, then $\sqrt{18}=3\sqrt{2}$

Let us simplify $3\sqrt{45}$

∵ 45 = 3 × 3 × 5

∴ $3\sqrt{45}=3\sqrt{(3)(3)(5)}$

→ Take the two 3 out by one 3

∴ $3\sqrt{45}=3(3)\sqrt{5}$

→ Multiply the numbers out the root

∴ $3\sqrt{45}=9\sqrt{5}$

∴ The simplest radical form is $9\sqrt{5}$

8 0

3 years ago

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = -x2 + 16x – 44?

KatRina [158]

Answer:

Only option D is one of the transformations needed.

Step-by-step explanation:

The graph of f(x)=x^2 is a positive parabola with x=0 as the zero in ordinates and also 0 as a zero x. This is, the graph passes in (0,0) and this is the only point it crosses both axis, then for every x value we will gave a positive f(x).

Here I attach a graph that shows both, f(x)=x^2 and g(x)=-x^2+16x-44.

As you can see, for transforming f(x) in g(x) we need to reflect it over the x axis, as g is open downwards. Then, as the quadratic term is still being x^2 we do not wide it (as you see in the graph both curves are equally widened).

Then, we can also see that the graph is shifted right, so we do not shift it left 8 units (notice that we shift it right 8 units).

So, after reflecting over the x axis and shifting right we need to shift it UP, as we can see the graph is over the x axis.

So, the three transformations needed are:

1. reflect over the x axis

2. shift right 8 units

3. shift up 20 units.

So, from the options you proposed we chose only d, to which we MUST add the transformations noted above.

Sorry for the mistake!

8 0

2 years ago

Read 2 more answers

The librarian purchased 22 copies of a best-selling book for $385.66.

adell [148]

Answer:

$17.53

Step-by-step explanation:

You know the total price of 22 copies was $365.66. To find the price of one copy, you divide 365.66 by 22 to get $17.53 per copy.

7 0

3 years ago

COULD YOU GUYS HELP ME WITH 6 AND 7 PLEASE

d1i1m1o1n [39]

Answer:

Answer is given below with explanations.

Step-by-step explanation:

$type \: 1 \: MSD \: s \: appropriate \: length : \\ vessels \: equal \: to \: or \: less \: than \: \: 65 \: \\ feet \: in \: length \\ option \: a) \: is \: the \: correct \: answer. \\ type \: 2 \: MSD \: s \: appropriate \: length \\ vessels \: that \: are \: greater \: than \: 65 \: \\ feet \: in \: length. \\ note : Vessels 65 \: feet \: or less in length \\ may use a Type I, II, or III MSD. \\ Vessels more than 65 feet in length must \\ install a Type II or III MSD.$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

7 0

3 years ago

What does the c represent in f(x)= ax^2+bx+c

julsineya [31]

In that statement of a function, 'a', 'b', and 'c' all represent
plain old ordinary constant numbers.

4 0

2 years ago

Read 2 more answers