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2 years ago

Six students are working to simplify the expression shown.

Mathematics

1 answer:

krok68 [10]2 years ago

6 0

Equivalent and Fully Simplified:

8+7x+4y

Equivalent and not fully simplified:

8+12x-5x+4y

15+7x+4y-7

Note Equivalent:

15-7x-4y

8+17x+4y

8+11y

Step-by-step explanation:

Given expression is:

$15+12x-5x+4y-7$

We will simplify the expression one by one

$8+12x-5x+4y$

$8+7x+4y$

Now we can categorize the expressions in boxes given below

Equivalent and Fully Simplified:

8+7x+4y

Equivalent and not fully simplified:

8+12x-5x+4y

15+7x+4y-7

Note Equivalent:

15-7x-4y

8+17x+4y

8+11y

Keywords: Expressions, simplification

Learn more about expressions at:

#LearnwithBrainly

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2 years ago

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lana66690 [7]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

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4 0

3 years ago

Consider the multivariable function f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}f ( x , y , z ) = x 3 −

Lelu [443]

Answer:

$f\left(2,3,1\right)=\bold{14}$

Step-by-step explanation:

Given the function:

$f\left(x,y,z\right)=\frac{x^3-2.5y^2+\frac{z}{2}}{z\left(x-y\right)}$

To find:

The value of $f(2, 3, 1)$ = ?

Solution:

$f(2, 3, 1)$ means the values of $x, y\ and\ z$ as:

$x=2\\y=3\\z=1$

Let us put the given values in the given function and let us solve for it:

$\Rightarrow f\left(2,3,1\right)=\dfrac{2^3-2.5\times 3^2+\frac{1}{2}}{1\left(2-3\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-2.5\times 9+0.5}{1\left(-1\right)}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{8-22.5+0.5}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\dfrac{-14}{-1}\\\\\Rightarrow f\left(2,3,1\right)=\bold{14}$