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maria [59]
3 years ago
7

30 POINTS By looking at the intercepts, which linear function does the graph represent?

Mathematics
1 answer:
larisa86 [58]3 years ago
7 0

C. f(x)=2/3x-2

<h2>Explanation:</h2>

Looking at the graph we realize that the y-intercept is given by:

b=-2

The Slope-intercept form of the equation of a line is given by:

y=mx+b

So, our equation becomes:

y=mx-2

So the only option that matches a negative y-intercept is C. Let's see that the slope m=2/3. Look at the y-intercept, if you increase x by 3 units, then y increases by 2 units and goes from x=-2 to x=0. In other words:

Change \ in \ x=\Delta x=3 \\ \\ Change \ in \ y=\Delta y=2 \\ \\ \\ m=\frac{\Delta y}{\Delta x}=\frac{2}{3}

<h2>Learn more:</h2>

Writing linear equations: brainly.com/question/12169569

#LearnWithBrainly

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2m= cm <br><br><br> Pls help me!!!
Andrej [43]

Answer:

200cm

Step-by-step explanation:

6 0
2 years ago
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The first derivative of x^2+2y^2=16 is -x/(2y), the second is -(2y^2+x^2)/(4y^3). Find the third implicit derivative of x^2+2y^2
gtnhenbr [62]

Answer:

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

Step-by-step explanation:

d²y/dx² = (-2y² − x²) / (4y³)

Take the derivative (use quotient rule and chain rule):

d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²

d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)

d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)

d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)

d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)

Substitute:

d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)

d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

8 0
3 years ago
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Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible. Which will most likely hel
Svetach [21]

Answer: The answer is (b) making sure she has a positive credit history.

Step-by-step explanation: Given that Yolo is buying a car from a local car dealership and wants to get the lowest interest rate possible. We are to select the correct option which will most likely help her.

From the given options, we can see that she will get the lowest interest rate possible if she has a positive credit score.

Thus, (b) is the correct option.

9 0
3 years ago
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Sam decides to build a square garden. If the area of the garden is 25x2 + 30x + 9 square feet, what is the length of one side of
seropon [69]
The correct answer is C. (5x+3) feet, and here is how I got it.
This is the equation you need to use:
(a+b)^2 = (a+b) (a+b)
So, let us plug in 5x and 3 here:
(5x+3)^2 = (5x+3)(5x+3) = 25x^2 + 15x + 15x + 9 = 25x^2 + 30x + 9 which is the area of the garden. 
5 0
3 years ago
Which constant could each equation be multiplied by to eliminate the x variable in this system of equations? 4x + 5y = 62 5x − 3
qwelly [4]

Answer:

Multiply equation 4x+5y=62 by 5 and 5x-3y=22 by 4

Step-by-step explanation:

Given:

Equations are 4x+5y=62,5x-3y=22

To find: constant by which each equation should be multiplied to eliminate the variable x in the given system of equations

Solution:

4x+5y=62...(i)\\5x-3y=22...(ii)

Multiply equation (i) by 5 and (ii) by 4 to get the following equations:

20x+25y=310\\20x-12y=88

On subtracting these equations, we get

(20x+25y)-(20x-12y)=310-88\\\\13y=222

So, the variable x gets eliminated

7 0
3 years ago
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