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allochka39001 [22]
2 years ago
12

How do you solve 32 - 6x = 53?

Mathematics
2 answers:
katrin2010 [14]2 years ago
7 0

\large\boxed{x=-\frac{7}{2}}

To solve for x, we need to isolate it on one side of the equation.

The most important part of this is knowing that whatever we do to one side of the equation, we must also do to the other.

Subtract 32 from both sides of the equation.

\begin{aligned}32-32-6x&=53-32\\-6x&=21\end{aligned}

Divide both sides of the equation by -6.

\begin{aligned}\frac{-6x}{-6}&=\frac{21}{-6}\\x&=\boxed{-\frac{7}{2}}\end{aligned}

Cerrena [4.2K]2 years ago
3 0

Answer:

x = - 3.5

Step-by-step explanation:

32 - 6x = 53 ( subtract 32 from both sides )

- 6x = 21 ( divide both sides by - 6 )

x = \frac{21}{-6} = - \frac{7}{2} = - 3.5

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A projectile is fired directly upward. The compound inequality 89 – 9.8t < 10.6 or 89 – 9.8t > 20.4 represents a projectil
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Given compound inequality 89 – 9.8t < 10.6 or 89 – 9.8t > 20.4.

Let us solve them one by one.

89 – 9.8t < 10.6

Subtracting 89 from both sides, we get

89-89 – 9.8t < 10.6 - 89

-9.8t < -78.4

Dividing both sides by -9.8, we get

t > 8.

<em>Note: Inequality sign get flip on dividing both side by a negative number.</em>

89 – 9.8t > 20.4

Subtracting 89 from both sides, we get

89-89 – 9.8t < 20.4 - 89

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Dividing both sides by -9.8, we get

t < 7

<em>Note: Inequality sign get flip on dividing both side by a negative number.</em>

<h3><em> The solution to the inequality 89 – 9.8t < 10.6 is </em>t > 8. </h3><h3> The solution to the inequality 89 – 9.8t > 20.4 is t < 7.</h3>

When the projectile hits the ground:

89 – 9.8t = 0

Subtracting 89 from both sides, we get

89 - 89 – 9.8t = 0 -89.

-9.8t = -89.

Dividing both sides by 9.8, we get

<h3>to the nearest whole second  t is about 9 seconds.</h3><h3>Therefore, variable solution set is {t < 7, t > 8, t = 9}.</h3><h3 />
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3 years ago
Read 2 more answers
What are the first four terms of the sequence represented by the expression n(n - 2) -3 ?
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Answer:

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3 years ago
PLEASE HELP 30 POINTS AND BRANILEST
LUCKY_DIMON [66]

Answer:

Go through the explanation you should be able to solve them

Step-by-step explanation:

How do you know a difference of two square;

Let's consider the example below;

x^2 - 9 = ( x+ 3)( x-3); this is a difference of two square because 9 is a perfect square.

Let's consider another example,

2x^2 - 18

If we divide through by 2 we have:

2x^2/2 -18 /2 = x^2 - 9 ; which is a perfect square as shown above

Let's take another example;

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The above expression is the same as;

(x^3)^2 -( 8)^2= (x^3 + 8) (x^3 -8); this is a difference of 2 square.

Let's take another example

a^5 - y^6 ; a^5 - (y ^3)^2

We cannot simplify a^5 as we did for y^6; hence the expression is not a perfect square

Lastly let's consider

a^4 - b^4 we can simplify it as (a^2)^2 - (b^2)^2 ; which is a perfect square because it evaluates to

(a^2 + b^2) ( a^2 - b^2)

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