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Brilliant_brown [7]
2 years ago
7

Factor 6x2 + 192 + 3

Mathematics
2 answers:
ArbitrLikvidat [17]2 years ago
8 0

6 (2 over x) + 1 9 5

skad [1K]2 years ago
5 0

Answer:

213

Step-by-step explanation:

u multiply first then add the rest ez

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The The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right. What is the equation of g(x)?
kolbaska11 [484]

<u>Translation</u> the <u>graph</u> of the <u>function</u> y=f(x) a units <u>to the right</u> gives you the function y=f(x-a).

If the graph of the function f(x)=3^x is translated 6 units to the right, then the function becomes

g(x)=f(x-6)=3^{x-6}.

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What divided by what equals 12
a_sh-v [17]

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WARRIOR [948]

Answer:

2\,(x-1)^2=4

which is the first option in the list of possible answers.

Step-by-step explanation:

Recall that the minimum of a parabola generated by a quadratic expression is at the vertex of the parabola, and the formula for the vertex of a quadratic of the general form:

y=ax^2+bx+c

is at   x_{vertex}=\frac{-b}{2\,a}

For our case, where a=2\,\,, b=-4\,\,,\,\,and \,\,c=-2  we have:

x_{vertex}=\frac{-b}{2\,a}\\x_{vertex}=\frac{4}{2\,*\,2}\\x_{vertex}=1

And when x = 1, the value of "y" is:

y(x)=2x^2-4x-2\\y(1)=2(1)^2-4(1)-2\\y(1)=2-6\\y(1)=-4\\y_{vertex}=-4

Recall now that we can write the quadratic in what is called: "vertex form" using the coordinates (x_{vertex},y_{vertex)of the vertex as follows:

y-y_{vertex}=a\,(x-x_{vertex})^2

Then, for our case:

y-(-4)=2\,(x-1)^2\\y=2\,(x-1)^2-4

Then, for the quadratic equal to zero as requested in the problem, we have:

y=2\,(x-1)^2-4=0\\2\,(x-1)^2-4=0\\2\,(x-1)^2=4

5 0
3 years ago
A 60 inch board is to be cut into three peices so that the second peice is four times as long as the first peice and the third p
Lostsunrise [7]

Answer:

The first piece is 6 inches, the second piece is 24 inches, and the third piece is 30 inches

Step-by-step explanation:

Since the second piece is 4 times longer than the first one, it will be represented by 4x.

The third piece is 5 times as long as the first one, so it will be represented by 5x.

Create an equation adding up the 3 x values up to 60:

x + 4x + 5x = 60

Add like terms and solve for x:

10x = 60

x = 6

So, the first piece is 6 inches.

Then, plug in 6 for x to find the lengths of the second and third pieces.

4x

4(6)

= 24

The second piece is 24 inches

5x

5(6)

= 30

The third piece is 30 inches

So, the first piece is 6 inches, the second piece is 24 inches, and the third piece is 30 inches

6 0
3 years ago
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