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Katena32 [7]
3 years ago
16

The graph of the function f(x)= x^2 − 4x + 6 is shown here. What is its axis of symmetry? A. x = 0 B. x = 2 C. x = 6 D. x = -2

Mathematics
1 answer:
wlad13 [49]3 years ago
6 0

Answer:

B. x=2

Step-by-step explanation:

If you split it right down the middle and reflect it is exact same.

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PLEASE HELPPPPP
dsp73

Answer:

see explanation

Step-by-step explanation:

the equation of parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier.

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute any other point on the graph into the equation.

using (0, 7 )

7 = a(0 - 3)² + 1 ( subtract 1 from both sides )

6 = a(- 3)² = 9a ( divide both sides by 9 )

\frac{6}{9} = \frac{2}{3} = a

y = \frac{2}{3} (x - 3)² + 1 ← in vertex form

------------------------------------------------------

the equation of a parabola in factored form is

y = a(x - a)(x - b)

where a, b are the zeros and a is a multiplier

here zeros are - 1 and 3 , the factors are

(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)

y = a(x + 1)(x - 3)

to find a substitute any other point that lies on the graph into the equation.

using (0, - 3 )

- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

1 = a

y = (x + 1)(x - 3) ← in factored form

3 0
2 years ago
The tables below show running hours of three printers that produce greeting cards and the total number of greeting cards produce
AysviL [449]

<u>ANSWER</u>

The correct answer is A


<u>EXPLANATION</u>



To find the ink cost of each card coming from printer  B, we need to find the total cost from printer B and the total number of cards printed by Printer B.


The total hours of all the three printers over the three weeks

=40+45+55+50+50+30+45+40+60=415


The total hours of printer B only

=50+50+30=130


Total number of cards produced over the three weeks


=7950+7800+9600=25350


We can use ratio and proportion to determine the total cards produce by printer B only.


415:25350


130:x


If less, more divides


x=\frac{130\times 25350}{415} \approx7941


Total cost of Printer B in 130 hours

$=130 \times 15=1950


The ink cost

=\frac{1950}{7941}


=0.2456


$\approx 0.30

to 2 decimal places

8 0
3 years ago
Read 2 more answers
In Exercises 9 and 10, point B is between A and Con AC. Use the information to
Marizza181 [45]

Answer:n

Step-by-step explanation:

n

5 0
3 years ago
I’m having a little issue with my Trigonometry homework. The model of this problem does not have a number for the hypotenuse. Th
Scilla [17]

9514 1404 393

Answer:

  x ≈ 23.4

Step-by-step explanation:

You are correct that the given information indicates the tangent function is appropriate.

  Tan = Opposite/Adjacent

  tan(59°) = 39/x

Multiply this equation by x/tan(59°) and you get ...

  x = 39/tan(59°)

  x ≈ 39/1.6643 ≈ 23.43

The appropriate answer choice is ...

  x = 23.4

8 0
3 years ago
A can of soup has a volume 12 fluid ounces about how many milliters is this ?
Rama09 [41]
The answer to this problem is D, 355 mL
4 0
3 years ago
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