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Oksi-84 [34.3K]
3 years ago
12

What is the axis of symmetry for f(x) = 2x2 − 4x + 5?

Mathematics
2 answers:
Daniel [21]3 years ago
7 0

Answer:

C. x = 1

Step-by-step explanation:

The axis of symmetry is found by the equation: -b/2a.

We are given f(x) = 2x^2 - 4x + 5, where:

  • a = 2
  • b = -4

Substitute these values into the formula for a.o.s.

-(-4)/2(2) --> 4/4 = 1

The a.o.s. is x = 1.

Romashka-Z-Leto [24]3 years ago
5 0

Answer:

Axis of symmetry is

C) x = 1

Step-by-step explanation:

we are given equation as

2x^2 -4x+5

we can use axis of symmetry formula

Let's assume we are given quadratic equation as

y=ax^2+bx+c

Axis of symmetry is

x=-\frac{b}{2a}

now, we can compare both equations

and we get

a=2,b=-4

now, we can find axis of symmetry

x=-\frac{(-4)}{2\times 2}

x=-\frac{(-4)}{4}

x=1

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phil ate three less than twice as many pancakes as sara. together they combined to eat 15 pancakes. How many pancakes did each e
Levart [38]

Answer:

Let x represents the Sara eat pancake and y represents the Phil eat the pancake.

As per the statement:

Phil ate three less than twice as many pancakes as Sara.

"Twice as many pancake as Sara" means 2x

"three less than twice as many pancakes as Sara" means 2x -3

⇒y = 2x-3         .....[1]

It is also given that together they combined to eat 15 pancakes.

⇒x+y =15      .....[2]

Substitute equation [1] into [2] we get;

x+2x-3 = 15

Combine like terms;

3x-3 =15

Add 3 to both sides we get;

3x = 18

Divide both sides by 3 we get;

x = 6

Substitute the value of x in [1] we get;

y = 2(6)-3 = 12-3 =9

y = 9

Therefore, the pancakes did each eat are;

Sara eat pancake = 6 and Phil eat pancake = 9


8 0
3 years ago
Write and solve an equation to find the unknown angle.
Julli [10]
There's many properties you can use to find an unknown angle.

There are too many to lists but one core example would be an isosceles triangle that has two adjacent sides and angles.

Let's say that the sides of an isosceles triangle are any number "x"

now since two sides of the triangle are the same we can add these two x's together.

x+x = 2x

now the other side of the triangle can be anything you like. We can call it 4x for this example.

now if we add them all together we'll get 4x+2x=6x

Now since the angles of a triangle add up to 180 degrees
we can equate 6x=180 leaving x to be 30.

Now since x belongs to both sides of the triangle we can say that both angles are congruent as well because the two sides of the triangle are congruent. This is a known triangle law.

Since both angles are now 30 degrees this will leave us with 2(30) = 60

now if we subtract 180 - 60 we'll get 120 which is the remainder of the 3rd angle of the side that corresponds with 4x.
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MAVERICK [17]

Answer:

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Step-by-step explanation:

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PLEASE HELP !! Timed test Which equation represents the relationship between x and y in the table?
lisabon 2012 [21]

Answer:

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Step-by-step explanation:

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MA_775_DIABLO [31]

Answer:

option A

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Step-by-step explanation:

refer to the above attachment

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