3 years ago

I need to know what the answer is

Mathematics

1 answer:

Stels [109]3 years ago

3 0

25 seats are in each section.
25 × 4 = 100

There are 100 seats in the auditorium.

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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

1/2 - 1/12=????????

Reptile [31]

Answer:

5/12

Step-by-step explanation:

Subtract.

$\frac{1}{2}$ - $\frac{1}{12}$ = $\frac{5}{12}$

You can not simplify, so that is your answer.

Here to help!

6 0

3 years ago

Read 2 more answers

adelina 88 [10]

Answer:

IHG= scalene

HJI= isosceles

KHI= scalene

HJK= equilateral

4 0

3 years ago

You purchase 3 items for $4.23. About how much did you spend?<br> $15<br> $10<br> $12<br> $13

anzhelika [568]

Answer

Step-by-step explanation:

4+4+4=12+.23+.23+.23=12.69 and round up to 13

7 0

3 years ago

Da'yanna gets a job at target as a manager. She makes $25 per hour. If she works 6 hours a day 4 days a week how

adoni [48]

Answer:

her first paycheck will be $600 before taxes are taken out.

Step-by-step explanation:

1. 25 x 6 = 150

2. 150 x 4= 600

3 0

3 years ago

Read 2 more answers