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3 years ago

What is the value of x in the equation 5x - 3x + 4(1-4x) = 32?

Mathematics

2 answers:

DENIUS [597]3 years ago

8 0

Answer:

$x=-2$

Step-by-step explanation:

So we have the equation:

$5x-3x+4(1-4x)=32$

First, subtract the 5x and 3x:

$2x+4(1-4x)=32$

Distribute the 4:

$2x+4-16x=32$

Subtract:

$-14x+4=32$

Subtract 4 from both sides:

$-14x=28$

Divide both sides by -14:

$x=-2$

And we're done!

Bad White [126]3 years ago

8 0

Answer:

x=-2

Step-by-step explanation:

5x - 3x + 4(1-4x) = 32

Distribute

5x - 3x + 4-16x = 32

Combine like terms

-14x +4 = 32

Subtract 4 from each side

-14x +4-4 = 32 -4

-14x = 28

Divide each side by -14

-14x/-14 = 28/-14

x = -2

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It is 70cm long and has a circumference of 40cm what is the radius

Aleksandr [31]

The legnth is irrelivant

we know that
Circumference=2 times pi time radius

c=40
40=2 times pi times radius
divide both sides by 2
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4 0

3 years ago

Y = 2 - 4x input output

tester [92]

Every function is a rule which tells you how to associate inputs and outputs. The input, also known as independent variable, is often indicated with the letter $x$ , while the output, also known as dependent variable, is often indicated with the letter $y$ .

With this notation, we write $y = f(x)$ , read "y is a function of x", in the sense that the value of the variable y depends on the value of the variable x, and f is the function that tells you how y depends on x.

In your example, you have $y = f(x) = 2-4x$ , which means "subtract four times the input (4x) from 2"

So, it doesn't matter which input you chose (i.e. the value for x), because you will always have to behave this way:

Pick an input value, x
Multiply it by four to get 4x
Subtract this number from 2: 2-4x

Here are some examples of explicit calculations: if I choose $x = 2$ and input, the workflow will be

Pick an input value, 2
Multiply it by four to get 8
Subtract this number from 2: 2-8=-6

So, if the input is 2, the output is -6

Similarly, if we choose $x = 0$ as input, we have:

Pick an input value, 0
Multiply it by four to get 0
Subtract this number from 2: 2-0=2

So, if the input is 0, the output is 2. And so on: for every possible value for x you have the correspondant value for y, with the function f telling you how to associate one with the other.

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2 years ago

Find the inverse function

Troyanec [42]

The inverse of the function is f(x) = $x^{3}$ + 8

In order to find the inverse of any function, start by switching the f(x) and x. Then solve for the new f(x). The result will be the inverse function. The work is below for you.

f(x) = $\sqrt[3]{x - 8}$ ----> Switch f(x) and x