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2 years ago

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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4 years ago

Murielle used synthetic division to divide a polynomial f(x) by x – 6, as shown:

NeX [460]

<span>the value of f(6) is 3.</span>

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4 years ago

What is the inverse of f(x)=(-2x+2)/(x+7)?

Nana76 [90]

By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

<h3>How to find the inverse of a function</h3>

In this question we have a <em>rational</em> function f(x) and finding its inverse consists in clearing x in terms of f(x). Prior any algebraic handling, we need to apply the following substitutions:

$x \to y$

$f(x) \to x$

$x = \frac{-2\cdot y + 2}{y+7}$

x · (y + 7) = - 2 · y + 2

x · y + 7 · x = - 2 · y + 2

2 · y + x · y = - 7 · x + 2

y · (2 + x) = - 7 · x + 2

$g(x) = \frac{- 7\cdot x + 2}{x + 2}$

By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

To learn more on inverses: brainly.com/question/7181576

#SPJ1

4 0

2 years ago

Amazon is offering free shipping on orders that total at least $200. Isabella already has $45 worth of goods in her cart, and fi

kari74 [83]

Answer:

She needs at least 11 pieces of accessories.

Step-by-step explanation:

She needs $200 and she has $45

200 - 45 = 155

Now she needs $155 worth of accessories and each piece is worth $15

155/15 = 10.33

then you round up to find the answer of 11 pieces of accessories.

4 0

4 years ago

Read 2 more answers

Bob's age is 15 years less than half his father's age. In six years his father's age will be eleven years more than triple Bob's

AlekseyPX

Answer: the father is 44 years old now

Step-by-step explanation:

Let Bob's present age be represented by x

Let his father's present age be represented by y

Bob's age is 15 years less than half his father's age. This means that

x = y/2 - 15

x + 15 = y/2

y = 2x + 30

y - 2x = 30 - - - - - - - - - -1

In six years his father's age will be eleven years more than triple Bob's age. This means that

y + 6 = 3(x + 6) + 11

y + 6 = 3x + 18 + 11

y - 3x = 18 + 11 - 6

y - 3x = 23 - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

x = 7

y = 2x + 30

y = 2×7 + 30

y = 14 + 30

y = 44

4 0

3 years ago