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SVEN [57.7K]
3 years ago
5

Convert to slope-intercept form: y=6x-5

Mathematics
2 answers:
Ymorist [56]3 years ago
8 0

Explanation:

Slope-intercept form: → y=mx+b

m: represents the slope and is constant.

b: represents the y-intercept.

Rise/run

\frac{rise}{run}

m=\frac{y^2-y^1}{x^2-x^1}

<u><em>So therefore, the slope for m is -6.</em></u>

<u><em>y-intercept for b is -5.</em></u>

Hope this helps!


V125BC [204]3 years ago
5 0

Remember that standard form is the following:

Ax + By = C

  • A, B, and C are constants

Thus, let's first work on getting y and x to the same side of the equation. Let's subtract -6x from both sides of the equation and see what that gets us:

y - 6x = -5


Rearranging the terms on the left side gets us:

-6x + y = -5


However, in standard form, A must be positive, so let's multiply both sides of the equation by -1 to cancel out the first negative sign:

6x - y = 5


Our answer is 6x - y = 5.

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leva [86]

Answer:

z_1+z_2 = (-2,5)

Step-by-step explanation:

To Find: z_1+z_2

Solution :

Referring the given graph

We can find the coordinates of   z_1 and  z_2

Coordinates of   z_1= (-7,1)

Coordinates of  z_2= (5,4)

Thus Coordinates of  z_1+z_2 = (-7+5,1+4) = (-2,5)

Thus z_1+z_2 = (-2,5)

So, the point z_1+z_2 = (-2,5) is shown on the attached graph file

6 0
3 years ago
Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.
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Answer:

The minimum value for  f(x) = 0.15(x + 1)^2 - 3 is -3.

Step-by-step explanation:

Given function is f(x) = 0.15(x + 1)^2 - 3

We need to find the maximum value or the minimum value for the function.

Now, differentiate f(x) = 0.15(x + 1)^2 - 3  w.r.t x.

f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\

f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)

Now, we will equate f'(x)=0 to find critical point.

0.3(x+1)=0\\x=-1

Plug this critical point in to the function f(x) = 0.15(x + 1)^2 - 3  we get,

f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3

Also, f''(x)=0.3 which is positive, We have minimum value.

So, the minimum value for  f(x) = 0.15(x + 1)^2 - 3 is -3.

7 0
4 years ago
What does -22 belong to
Len [333]

Answer:

it's part of the real number system

it's a rational number

it's an integer

Step-by-step explanation:

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I believe the correct answer is B
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How many different ways are there to rearrange the letters of the word EXAM, if you don't care if the results is a recognizable
Vlada [557]
In this case, all letters are unique.

Start by holding the first letter:
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E - MXA
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Repeat for all 4 letters.

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This is same as 4x3x2x1.

For 3 unique characters, it is 3x2x1.
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3 years ago
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