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2 years ago

In a kitchen there are three containers that can hold different quantities of water, as shown in the figure below:

Mathematics

2 answers:

elena55 [62]2 years ago

3 0

Answer:

3x-15

Step-by-step explanation:

(x-10)+(x-5)+(x)=3x-15

Vanyuwa [196]2 years ago

3 0

3x - 15

Simply add the different container sizes together. The first container holds x - 10 liters, the second holds x - 5 liters, and the third holds x liters.

(x - 10) + (x - 5) + x

Because of the associative property of Addition, we can remove the parentheses.

x - 10 + x - 5 + x

Because of the communicative property of addition, we can reorder the terms so that the like terms are next to each other.

x + x + x - 10 - 5

Now, combine the x’s.

3x - 10 - 5

Finally, subtract -10 minus - 5.

3x - 15

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Answer:

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Step-by-step explanation:

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3 years ago

What is the vertex of the quadratic function f(x) = (x - 3)(x - 2)?

Grace [21]

Answer:

$(\frac{5}{2} , -\frac{1}{4} )$

Step-by-step explanation:

<h2><u>Lesson : Finding vertex from quadratic functions ,</u></h2><h2><u /></h2>

Given:

f(x) = (x - 3)(x - 2)

"Vertex"

Find the x intercepts by using the zero product property,

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X-int = (3,0) , (2,0)

Now find the y intercepts by factoring the equation ,

(x - 3)(x - 2)

x * x

x^2

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x^2 -2x

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x^2 -2x -3x

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x^2 -2x -3x + 6

Combining like terms:

x^2 -5x + 6

Replace x with zero,

0^2 -5(0) + 6

y intercept = (0,6)

Now graph :

Graph shown

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3 years ago

How can i factor this? <br> x^(2n)-2x^(n)+1

Tasya [4]

You can make it easier by replacing x^n with another variable, factoring, then putting x^n back in the end.

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Then, let x^n = m.

m^2 - 2m + 1

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3 years ago

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kondaur [170]

Answer:

Choice A

Step-by-step explanation:

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2 years ago