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3 years ago

Solve the equation. 6x^2 + 24x + 18

1 answer:

8 0

We can factor the equation.

$6x^2 + 24x + 18 \\ \\ GCF = 6 \\ \\ 6 ( \frac{6x^2}{6} + \frac{24x}{6} + \frac{18}{6} ) \ / \ factor \ out \ GCF \\ \\ 6(x^2 + 4x + 3) \ / \ simplify \ parentheses \\ \\ 6 (x + 1)(x + 3) \ / \ factor \ parentheses \\ \\ Answer: \fbox {6(x + 1)(x + 3)}$

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Write an expression for the calculation the difference of the products of 5 and 2 and 5 and 1

oee [108]

Let's review the terminology. A product is what you get when you multiply two numbers. So, the product of 5 and 2 is basically "5*2," and the product of 5 and 1 is "5*1."

The difference means when you subtract one from the other. So, the difference of 5*2 and 5*1 means "(5*2)-(5*1)". (Note: I put in parentheses to make sure the reader understands that 5*2 is separate from 5*1. 5*2-5*1 is confusing: you might not know what to do first!)

So, "(5*2)-(5*1)" can be your answer, OR you can simplify it further by actually doing the multiplication: "10-5". If you want the answer, just subtract--the expression is equal to 5.

Answer: "(5*2)-(5*1)" OR "10-5" OR "5"

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4 years ago

Andrew bought 3 boxes of granlla bars. There are 13 granola bars in each box. choose the expression that shows how many granola

noname [10]

Answer:

13b

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

∠PMN is congruent to which angle? A. ∠CBA B. ∠ABC C. ∠ACB D. ∠CAB

ivolga24 [154]

D. Angle CAB...........

3 0

3 years ago

Read 2 more answers

10 points!!

Monica [59]

The equation would be 1.65 + y - 0.15 + 0.45 = ? If you combine like terms you get B) 1.95 y as your answer. I hope this helps!

6 0

3 years ago

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onsider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutti

Sholpan [36]

Answer:

V (max) = 2 ft³

and x side of the base is x = 0,5 feet

Step-by-step explanation: See annex ( two different cubes)

We have a square piece of cardboard of 3 inches wide

Let x be lenght of side to cut in each corner

Then the base of the (future cube) is 3 - 2x, and the area is

( 3 - 2x )²

And the height is x Then volume of the cube as a function of x is:

V(x) = ( 3 - 2x )² *x or V(x) = ( 9 + 4x² - 12x )*x

V(x) = 4x³ - 12x² + 9x

Taking derivatives on both sides of the equation

V´(x) = 12x² - 24x + 9

V´(x) = 0 12x² - 24x + 9 = 0 simplifying 4x² - 8x + 3 = 0

Second degree equation solving for x

x₁,₂ = [ 24 ± √( 576) - 432 /24

x₁,₂ = [24 ±√144 ]/24

x₁,₂ = ( 24 ± 12) /24 x₁ = 1.5 feet x₂ = 0,5 feet

Of these two values we have to dismiss x₁ because if x = 1.5 we don´t have a cube ( 0 height )

Then we take x = 0,5 feet

And

V (max) = (2)²*0,5 = 4*0,5

V (max) = 2 ft³

5 0

4 years ago