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VARVARA [1.3K]
3 years ago
13

How do you get the fully simplified slope-intercept form?​

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0

Answer:

y = 3x - 7

Step-by-step explanation:

Slope-intercept form:

y = mx + b

Where:

y is the y value.

m is the slope.

x is the x value.

And b is the y-intercept.

First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:

m = rise/run

m = 3/1

m = 3

With the slope formula, you first need to choose two points.

I chose:

(2, -1) and (3, 2)

Slope formula:

m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}

m = (2 - (-1)) / (3 - 2)

m = 3/1

m = 3

Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:

y-int = -7

To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.

I chose:

(2, -1)

y = 3x + b

-1 = 3(2) + b

-1 = 6 + b

-1 - 6 = b

b = -7

Now you have your final answer:

y = 3x - 7

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George has $49 which he decides to spend on x and y. commodity x costs $5 per unit and commodity y costs $11 per unit. he has th
FromTheMoon [43]

We are given the equations:

<span>5 x + 11 y = 49                    --> eqtn 1</span>

<span>u = 3 x^2 + 6 y^2               --> eqtn 2</span>

 

Rewrite eqtn 1 explicit to y:

11 y = 49 – 5 x

<span>y = (49 – 5x) / 11               --> eqtn 3</span>

 

Substitute eqtn 3 to eqtn 2:

u = 3 x^2 + 6 [(49 – 5x) / 11]^2

u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]

u = 3 x^2 + 14406/121 – 2940x/121 + 150x^2/121

u = 4.24 x^2 – 24.3 x + 119.06

Derive then set du/dx = 0 to get the maxima:

du/dx = 8.48 x – 24.3 = 0

solving for x:

8.48 x = 24.3

x = 2.87

 

so y is:

y = (49 – 5x) / 11 = (49 – 5*2.87) / 11

y = 3.15

 

Answer:

<span>George will choose some of each commodity but more y than x.</span>

7 0
3 years ago
Help me please 15 points answer
professor190 [17]
Part A is 6 and the bottom one is "Take a line and connect it from point C to the middle of A and B then put another line connecting to D to the middle of A and B"
4 0
3 years ago
Question 10
kicyunya [14]

Answer:

47.5 and 2853.56 m

Step-by-step explanation:

Graph the equation on desmos and use the graph to find the maxima and the roots

6 0
3 years ago
Read 2 more answers
Once again due 11:59 pls help
vovikov84 [41]

Answer:

In the equation, it divides 21 by x before knowing what x is, and gets it incorrect. Instead, you need to divide 21 by -4.2.

Step-by-step explanation:

-4.2x = 21

-------------

    -4.2

   

x = -5

8 0
3 years ago
Give the answer of in the lowest terms 26/25 •15/28•8/39
DIA [1.3K]
(26/25) x (15/28) x (8/39)

Divide top and bottom by 3 :

(26/25) x (5/28) x (8/13)

Divide top and bottom by 5 :

(26/5) x (1/28) x (8/13)

Divide top and bottom by 4 :

(26/5) x (1/7) x (2/13)

= 52 / 455 = 0.11429... (rounded)
5 0
3 years ago
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