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tensa zangetsu [6.8K]
3 years ago
15

Solve In standard form y+1=2/3(×+4)

Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0
Standard form is another way of saying slope-intercept form. The equation you have there is in point-slope form, so we must convert this to slope-intercept form to get our final answer.

In point-slope form (y - k = m(x - h)) k is the y-value, h is the x-value, and m is the slope. All we must do is change your equation's form into standard form, or slope-intercept form which looks like this: (y = mx + b), where m is the slope and b is the y-intercept.

Convert this equation y + 1 = 2/3(x + 4) into standard/slope-intercept form.
y + 1 = 2/3(x + 4)
y + 1 = 2/3x + 2.666 Here we multiplied 2/3 by x and 4 since x + 4 is in parenthesis next to 2/3.
y + 1 - 1 = 2/3x + 2 2/3 - 1 Now we want to get y by itself so the form will look like y = mx + b, so we subtract the 1 from both sides of the equation. (2 2/3 is a mixed fraction that is equal to 2/3*4.)
y = 2/3x + 1 2/3

This is our final answer since it is in the standard, or slope-intercept form. Hope this made sense! If you have any questions please ask.
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1(x + 12) = 4x - 1\\x+12=4x-1\\13=3x\\x=\frac{13}{3} \\x=4\frac{1}{3}

This equation has only one solution

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faust18 [17]

Answer:

G

Step-by-step explanation:

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x^2/3

Step-by-step explanation:

(x^5/6)/(x^1/6)=x^(5/6-1/6)=x^4/6

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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.

4 0
3 years ago
What is 20/45 simplified ?
Kipish [7]
It's quite simple when you break it down

20/45 let's divide by 5 

4/9 

we can't divide anymore, no common denominator. The answer is 4/9
5 0
3 years ago
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