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vichka [17]
3 years ago
12

An electronics store sold an auto stereo for ​$410.29​, a loss of 11​% of the​ dealer's original cost. Find the orginal cost.

Mathematics
1 answer:
Sidana [21]3 years ago
3 0

Answer:

$399 dollars and 29 cents

Step-by-step explanation:

$410.29-11

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Y=x^2-6x+3 help write the vertex form of the equation
Artist 52 [7]

Answer:

y=(x-3)^2-6

Step-by-step explanation:

y=x^2-6x+3

This is written in the standard form of a quadratic function:

y=ax^2+bx+c

where:

  • ax² → quadratic term
  • bx → linear term
  • c → constant

You need to convert this to vertex form:

y=a(x-h)^2+k

where:

  • (h,k) → vertex

To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

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

Using your original equation, identify the a, b, and c terms:

a=1\\\\b=-6\\\\c=3

Insert the known values into the equation:

x=-\frac{(-6)}{2(1)}

Simplify. Two negatives make a positive:

x=\frac{6}{2} =3

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

y=3^2-6(3)+3

Simplify using PEMDAS:

y=9-18+3\\\\y=-9+3\\\\y=-6

The value of y is -6 (3,-6). Insert these values into the vertex form:

(3_{h},-6_{k})\\\\y=a(x-3)^2+(-6)

Insert the value of a and simplify:

y=(x-3)^2-6

:Done

6 0
3 years ago
Taila is older than both her brother Henry and Frank.
S_A_V [24]

Answer:

Trying to get 24

Henry being 1 more than twice Frank age

Frank 3

Henry 7

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Step-by-step explanation:

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3 years ago
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Check the picture below.

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Help!!
yKpoI14uk [10]

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Step-by-step explanation:

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2 years ago
A 33 - m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 37 m . Find the len
ArbitrLikvidat [17]
This is Pythagorean theorem, a^2+b^2=c^2 , a = 33 and c = 37 so b^2 + 1089 = 1369 , b^2 = 280 , b = 16.73m
5 0
3 years ago
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