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2 years ago

Please help...Here's a graph of a linear function. Write the equation that describes that function

Mathematics

1 answer:

stealth61 [152]2 years ago

8 0

Answer:

y = 6x - 4

Step-by-step explanation:

Slope formula: y = mx + b

m = slope, found by figuring out the change in y over the change in x. A fancy way to say find the simplest rate of how far up it goes over how far right it goes. In this case, the line goes up 6 for every time it goes right one; 6/1. This can be simplified as 6.

b = y-intercept, meaning where the line crosses the y line. In this line, you can see that it crosses at -4.

Hope this helps!

You might be interested in

Find three real numbers x, y, and z whose sum is 6 and the sum of whose squares is as small as possible. g

mart [117]

We're minimizing $x^2+y^2+z^2$ subject to $x+y+z=6$ . Using Lagrange multipliers, we have the Lagrangian

$L(x,y,z,\lambda)=x^2+y^2+z^2+\lambda(x+y+z-6)$

with partial derivatives

$\begin{cases}L_x=2x+\lambda\\L_y=2y+\lambda\\L_z=2z+\lambda\\L_\lambda=x+y+z-6\end{cases}$

Set each partial derivative equal to 0:

$\begin{cases}2x+\lambda=0\\2y+\lambda=0\\2z+\lambda=0\\x+y+z=6\end{cases}$

Subtracting the second equation from the first, we find

$2x-2y=0\implies x=y$

Similarly, we can determine that $x=z$ and $y=z$ by taking any two of the first three equations. So if $x=y=z$ determines a critical point, then

$x+y+z=3x=6\implies x=y=z=2$

So the smallest value for the sum of squares is $2^2+2^2+2^2=12$ when $(x,y,z)=(2,2,2)$ .

8 0

2 years ago

Alfredo has different colored spiral notebooks in his backpack. Which of the following models could be used to simulate a 1 in 3

BartSMP [9]

Answer:

the fourth option

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Probability of choosing a red spiral = number of red spiral / total sum of spirals in the bag

1st option = 2 / 4 = 1/2

2nd option = 4/8 = 1/2

3rd option = 2/3

4th option = 2/6 = 1/3

the fourth option is correct

4 0

2 years ago

Simplify the expression 35e^9/5e^8

erastovalidia [21]

$\frac{35e {}^{9} }{5 {e}^{8} } \ \\ \\ \frac{7e {}^{9} }{e {}^{8} } \\ \\ \\ = 7e$

Step By Step Explanation:

Reduce: Reduce the fraction with 5
Simplify: Simplify the expression

Alternate Forms:

19.02797

<h3>☆彡Hanna</h3>

5 0

3 years ago

A^2−8ab+16b^2=81, find a–4b

neonofarm [45]

Answer:

-9, 9

Step-by-step explanation:

a² − 8ab + 16b² = 81

(a - 4b)² = 81 Wrote the left-hand side as a square

a - 4b = ±9 Took the square root of each side

All values of a - 4b are -9 and +9.

4 0

2 years ago

Does anybody know this?

vagabundo [1.1K]

Answer:

see attached

Step-by-step explanation:

Reflection in the line y=1 is accomplished by the transformation ...

(x, y) ⇒ (x, 2 -y)

Each point in the image is as far below the line as the original point is above the line.

6 0

2 years ago