All categories

2 years ago

Preston needs to write an equation in slope-

Mathematics

1 answer:

OleMash [197]2 years ago

8 0

The y-intercept of the equation that represent the relationship between x and y in the table is -6

<h3>How to determine the y-intercept?</h3>

From the table, we have the following highlight:

As the x values increase by 2,
The y values increase by 3

This means that:

As the x values decrease by 2,
The y values decrease by 3

From the table, we have:

x = 2 when y = -9

Decrease the values of x and y

x = 0 when y = -6

Hence, the y-intercept is -6

You might be interested in

Fine the sum of the first 8 terms of the arithmetic series 2+7+12+...

ss7ja [257]

Answer:

156

Step-by-step explanation:

s8 = n/2 [2t + (n-1)(d)]

= 8/2 [2(2) + (8-1)(5)]

= 4 [4 + (7)(5)]

= 4 (4 + 35)

= 4 (39)

= 156

4 0

2 years ago

The area of is 18 ft2 and the area of is 24 ft2. If , what is the ratio of LM to FG? A. 3:4 B. 9:16 C. D. 4:3

Gelneren [198K]

18/24 = 3/4 (divide top and bottom by 6)

answer is <span>A. 3:4</span>

8 0

3 years ago

Read 2 more answers

1/2a=1/4a+2<br> Solve for a:<br> Check your solution:

vekshin1

Answer:

a=-1

Step-by-step explanation:

1/2a=1/4a+2

by cross multiplying,

2a=4a+2

2a-4a=2

-2a=2

a=2/-2

a=-1

hope you understood :)

7 0

2 years ago

Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = ∇f. (If the ve

djyliett [7]

We're looking for $f(x,y,z)$ such that $\nabla f(x,y,z)=\vec F(x,y,z)$ , which requires

$\dfrac{\partial f}{\partial x}=xyz^2$

$\dfrac{\partial f}{\partial y}=x^9yz^2$

$\dfrac{\partial f}{\partial z}=x^9y^2z$

Integrating both sides of the first PDE wrt $x$ gives

$f(x,y,z)=\dfrac12x^2yz^2+g(y,z)$

Differenting this wrt $y$ gives

$\dfrac{\partial f}{\partial y}=x^9yz^2=\dfrac12x^2z^2+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=\dfrac12x^2z^2(2x^7y-1)$

but we're assuming $g(y,z)$ is a function that doesn't depend on $x$ , which is contradicted by this result, and so there is no such $f$ and $\vec F$ is not conservative.

8 0

3 years ago

Graph the line with the equation y = x + 3.

BartSMP [9]

Answer:

Step-by-step explanation:

4 0

2 years ago