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Triss [41]
3 years ago
14

Solve the equation: 4(x-2)=12

Mathematics
2 answers:
RoseWind [281]3 years ago
4 0
X=5 is your answer to this
Mrrafil [7]3 years ago
4 0

Answer:

x = 5

Step-by-step explanation:

Given

4(x - 2) = 12 ( divide both sides by 4 )

x - 2 = 3 ( add 2 to both sides )

x = 5

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On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a verte
statuscvo [17]

Answer:

Option 4.

Step-by-step explanation:

The vertex form of a parabola is

g(x)=a(x-h)^2+k                    ... (1)

where, a is a constant (h,k) is vertex.

The given function is

f(x)=x^2

The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).

It is given that the vertex of function g(x) is at (5,2).

Substitute h=5 and k=2 in equation.

g(x)=a(x-5)^2+2

g(x) is passes through (3, 6).

6=a(3-5)^2+2             .... (2)

6-2=4a

4=4a

Divide both sides by 4.

a=1

Substitute a=1 in equation (2).

g(x)=1(x-5)^2+2

g(x)=(x-5)^2+2

The function g(x) is g(x)=(x-5)^2+2.

Therefor, the correct option is 4.

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