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vesna_86 [32]
3 years ago
7

7+3√5/3+√5 - 7-3√5/3-√5​

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer:

0

Step-by-step explanation:

We can write the equation in a simpler form so it doesn't look like a mess of numbers:

7+\frac{3\sqrt{5}}{3}+\sqrt{5} -7 -\frac{3\sqrt{5}}{3}-\sqrt{5}

Because we are just adding three terms together and then subtracting those exact terms, we have the answer as 0.

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The function f(x)=x^2 -6x+3 is transformed such that g(x)=f(x-2). Find the vertex of g(x).
Lisa [10]

Answer:

g(x) = (x-2)^2 -6(x-2) +3

g(x) = x^2 -4x +4 -6x +12 +3

g(x) = x^2 -10 x +19

g(x) = x^2 -10 x + 25 +19 -25

g(x) = (x-5)^2 -6

y= (x-h)^2 -kk

Where h,k represent the vertex and we got:

(h,k)= (5,6)

(5,6)

Step-by-step explanation:

We have this original function given :

f(x) = x^2 -6x +3

And we want to find the vertex for this new function g(x) = f(x-2) and we have:

g(x) = (x-2)^2 -6(x-2) +3

And solving the square we got:

g(x) = x^2 -4x +4 -6x +12 +3

And adding similar terms we got:

g(x) = x^2 -10 x +19

Now we can complete the square like this:

g(x) = x^2 -10 x + 25 +19 -25

g(x) = (x-5)^2 -6

The general equation is given by:

y= (x-h)^2 -kk

Where h,k represent the vertex and we got:

(h,k)= (5,6)

(5,6)

5 0
4 years ago
What is the domain of the function graphed below?
coldgirl [10]

Answer:

(-infinity, 7]

Step-by-step explanation:

even though it looks like it's split the bottom line includes -1 so it's one domain.

3 0
3 years ago
Use the Distributive Property to simplify (–5 – c)( –1).
damaskus [11]
It’s the first option, 5 + c
4 0
1 year ago
Read 2 more answers
4. Find the percent of increase or decrease
Vaselesa [24]

Answer:

2.25 \div 3.5 \times 100 = 65.7percent

6 0
3 years ago
Select the correct answer.
lorasvet [3.4K]

Answer:

A. 5x^2 - 2x - 12 = 0

Step-by-step explanation:

The base is x feet.

The height is 2 less that 5 times the base.

The height is 5x - 2.

The area is 12.

The area is base * height / 2.

area = bh/2

area = x * (5x - 2) = 12

5x^2 - 2x = 12

5x^2 - 2x - 12 = 0

8 0
3 years ago
Read 2 more answers
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