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padilas [110]
3 years ago
13

determine the vertex and axis of symmetry for the following: f(x) = 2x to the power of 2 - 12x + 24 ?

Mathematics
1 answer:
Vikki [24]3 years ago
7 0

Answer:

vertex = (3,24)  Axis of symmetry = 3

Step-by-step explanation:

Use the vertex formula to find x: x=-b/2(a)

x= 12/2(2) = 3 (this is your axis of symmetry)

Substitute 3 for x in the equation to get y: y = 42

Once you have both x and y you have your vertex.

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Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Whi
maksim [4K]
There can only be two definite x-intercepts, so your goal it to find 2 numbers of x that, when plugged into the equation, give you the answer of 0. 1 is the first x-intercept(4-24+20 equals 0). The second one is 5 (100-120+20 equals 0). So the average is 3, so the axis of symmetry is 3 since 5+1=6, and 6/2=3

Honestly, there is an easier way to find the axis of symmetry. the equation would be -b/2a, where as b is the coefficient in the second part of the equation, while a is the first coefficient in the equation. -(-24) is 24, and 4*2=8, so 24/8=3

I hope I actually answered this the way you wanted. You asked for an equation, but I just answered the axis of symmetry with very simple equation initially and another equation
3 0
3 years ago
Read 2 more answers
I really need help with this<br> I think its Igneous Rock but I'm not so sure...<br> THANKS
dimaraw [331]

Answer:

That is igneous

Step-by-step explanation:

7 0
3 years ago
Tickets to a concert cost $50 for each orchestra seat and $40 for each
Vsevolod [243]

Answer:

H. the number of orchestra seat is 900

Step-by-step explanation:

Step one:

let the number of orchestra seat be x

and balcony seat be y

cost of orchestra= $50 each

cost of balcony =$40 each

total tickets= 1500

x+y= 1500----------1

amount earned= $69000

50x+40y=69000--------2

The system of equation for the situation is

x+y= 1500----------1

50x+40y=69000--------2

from 1, x=1500-y

put this in equation 2

50(1500-y)+40y=69000

75000-50y+40y=69000

-10y=69000-75000

-10y=-6000

divide both sides by -10

y=-6000/-10

y=600

put y= 600 in equation 1

x+600= 1500

x=1500-600

x=900

6 0
3 years ago
Let r and s be the roots of x^2 - 6x + 2 = 0. Find (r - s)^2.
Sphinxa [80]

Answer: (r-s)^{2} = 28

Step-by-step explanation:

  • x^{2} -6x+9=-2+9
  • (x-3)^{2}=7
  • (x-3)= -\sqrt{7} or \sqrt{7} <-- there's no plus/minus sign.
  • (x-3) = -\sqrt{7}
  • x = 3 -\sqrt{7} <-- root.
  • (x-3) = \sqrt{7}
  • x = 3+\sqrt{7} <-- root.
  • [(3-\sqrt{7})-(3+\sqrt{7})]^{2}
  • (3-\sqrt{7} -3 - \sqrt{7})^{2} <-- don't forget to distribute the negative.
  • (-2\sqrt{7})^{2}
  • (4)(7)
  • 28
4 0
3 years ago
If we are given the value of α. How can we find the value of β?
Cloud [144]

Answer:

β = 140   - α

we know that the "missing" angle is 40° since 40 + 140 = 180

we also know that the total sum of angles in a triangle is 180

so  β = 180 - 40 - α

or β = 140   - α

Step-by-step explanation:

4 0
3 years ago
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