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3 years ago

What is 3x+8 ? I believe you simplify.

Mathematics

2 answers:

lorasvet [3.4K]3 years ago

6 0

Nothing further can be done with this topic. Please check the expression entered or try another topic.
3
x
+
8

nignag [31]3 years ago

5 0

Step-by-step explanation:

Simplifying x = 3x + -8 Reorder the terms: x = -8 + 3x Solving x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. x + -3x = -8 + 3x + -3x Combine like terms: x + -3x = -2x -2x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -2x = -8 + 0 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4

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An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on

dybincka [34]

we know that

The function cost is equal to

$C(x)=0.4x^2-88x+15,636$

This is a vertical parabola open upward

The vertex is a minimum

The x-coordinate of the vertex represents the Number of airplane engines, that minimize the unit cost

The y-coordinate of the vertex is the minimum cost

Convert the given equation into vertex form

step 1

Factor 0.4

$C(x)=0.4(x^2-220x)+15,636$

Complete the square

$C(x)=0.4(x^2-220x+110^2-110^2)+15,636$ $\begin{gathered} C(x)=0.4(x^2-220x+110^2)+15,636-4,840 \\ C(x)=0.4(x^2-220x+110^2)+10,796 \end{gathered}$

Rewrite as a perfect square

$C(x)=0.4(x-110)^2+10,796$

The vertex is the point (110,10,796)

therefore

<h2>The answer is 110 airplane engines</h2>

3 0

1 year ago

What is the following product? <br>(4x square root 5x^2 + 2^2 square root 6)^2

tangare [24]

The product is $104 x^{4}+16 \sqrt{30} x^{4}$

Explanation:

The given expression is $\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}$

We need to determine the product of the given expression.

First, we shall simplify the given expression.

Thus, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x \sqrt{5} x+2 x^{2} \sqrt{6}\right)^2$

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)^2$

Expanding the expression, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)$

Now, we shall apply FOIL, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}\right)^{2}+2 ( 2 x^{2} \sqrt{6})(4 x^{2} \sqrt{5})+\left(2 x^{2} \sqrt{6}\right)^{2}$