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3 years ago

Solve the system of equations: y = x-4 -2x + y = 18

Mathematics

1 answer:

Pie3 years ago

6 0

Answer:

x = 7.3

Step-by-step explanation:

-2x + x-4 = 18

First, Combine Like Terms

-3x + (-4) = 18

Then, do Inverse Operations

-3x + -4 = 18

+ 4 +4

Cancel out the -4 +4 because it will equal zero and won't matter to the equation

-3x = 22

Do Inverse Operations again. In this case, you will divide.

-3x = 22

-3x/-3 = 22/-3

Cancel out the -3x/-3

22/-3 = x

7.3 = x

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kicyunya [14]

Answer:

The given fraction $\frac{x^3-x^2}{x^3}$ reduces to $\frac{x-1}{x}$

Step-by-step explanation:

Consider the given fraction $\frac{x^3-x^2}{x^3}$

We have to reduce the fraction to the lowest terms.

Consider numerator $x^3-x^2$

We can take x² common from both the term,

Thus, numerator can be written as $x^2(x-1)$

Given expression can be rewritten as ,

$\frac{x^3-x^2}{x^3}=\frac{x^2(x-1)}{x^3}$

We can now cancel $x^2$ from both numerator and denominator,

$\Rightarrow \frac{x^2(x-1)}{x^3}=\frac{x^2(x-1)}{x^2 \cdot x}$

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3 years ago

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Ron estimates that each crate of apples he buys from his supplier has 120 apples. The actual number is 105 apples. Which value i

NeTakaya

Answer:

14%

Step-by-step explanation:

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Hal earns n dollars per hour. Next month he

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Answer:

$Total = 1.02n$

Step-by-step explanation:

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Citrus2011 [14]

Y = 104°
z = 24

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To solve for z, know that (5z - 44)° and 76° are vertical angles, meaning that both angles are the same.
So simply set them equal to each other to find z:
5z - 44 = 76
5z = 76 + 44
5z = 120
z = 24

Now to solve for y, remember that since (5z - 44)° and 76° are vertical angles, they are the same, meaning you can denote (5z - 44)° as simply 76°. Like I said earlier, y and 76° are a linear pair so simply subtract 76 from 180 to find y:
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bogdanovich [222]

Answer:

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Step-by-step explanation:

We want to find where the two graphs given by the equations:

$\displaystyle (x+1)^2+(y+2)^2 = 16\text{ and } 3x+4y=1$

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When they intersect, their x- and y-values are equivalent. So, we can solve one equation for y and substitute it into the other and solve for x.

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$\displaystyle y = -\frac{3}{4} x + \frac{1}{4}$

Substitute this into the first equation:

$\displaystyle (x+1)^2 + \left(\left(-\frac{3}{4}x + \frac{1}{4}\right) +2\right)^2 = 16$

Simplify:

$\displaystyle (x+1)^2 + \left(-\frac{3}{4} x + \frac{9}{4}\right)^2 = 16$

Square. We can use the perfect square trinomial pattern:

$\displaystyle \underbrace{(x^2 + 2x+1)}_{(a+b)^2=a^2+2ab+b^2} + \underbrace{\left(\frac{9}{16}x^2-\frac{27}{8}x+\frac{81}{16}\right)}_{(a+b)^2=a^2+2ab+b^2} = 16$