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3 years ago

What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?

Mathematics

1 answer:

Annette [7]3 years ago

5 0

6x-2>4x-6
2x-2>-6
2x>-4
X>_ -2

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The owner of a video game store creates the expression −2x2 + 24x + 174 to represent the store's weekly profit in dollars, where

Semmy [17]

Answer:

$-2(x-6)^2+246$ , x = $6

Step-by-step explanation:

The expression $-2x^2+24x+174$ to represent the store's weekly profit in dollars, where x represents the price of a new video game.

Let $f(x)=-2x^2+24x+174$

We need to rewrite this quadratic function in the vertex form.

$f(x)=-2(x^2-12x)+174$

$f(x)=-2(x^2-12x+36)--2(36)+174$

$f(x)=-2(x^2-12x+36)+72+174$

$f(x)=-2(x-6)^2+246$

The equivalent expression that reveals the video game price that produces the highest weekly profit is $-2(x-6)^2+246$

and the price is $6

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Answer: d

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1/4k = 3 (-1/4k + 3)

Arada [10]

Answer:

For the expression $\frac{1}{4} k = 3 (-\frac{1}{4}k +3)$

k = 9 is the required solution.

Step-by-step explanation:

Here, the given expression is $\frac{1}{4} k = 3 (-\frac{1}{4}k +3)$

Solving the above expression for k, we get:

$\frac{1}{4} k = 3 (-\frac{1}{4}k +3) \implies \frac{k}{4} = (\frac{-3}{4}k) + 9$

or, $\frac{k}{4} + (\frac{3}{4}k) = 9 \implies \frac{k + 3k}{4} = 9$

or, $\frac{4k}{4} = 9 \implies k =9$

or, k = 9

Hence for the expression $\frac{1}{4} k = 3 (-\frac{1}{4}k +3)$

k = 9 is the required solution.

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