Answer:
y = x
Step-by-step explanation:
Slope: m = 1
y = x + c
2 = 2 + c
c = 0
y = x
Answer:
-3/2
Step-by-step explanation:
Slope is defined as
,
So the line goes down 6 instead of rising, making the rise negative: -6
The line goes over 4, making the run: 4
So -6/4 or -3/2
Answer:
Step-by-step explanation:
Given a function
, we called the rate of change to the number that represents the increase or decrease that the function experiences when increasing the independent variable from one value "
" to another "
".
The rate of change of
between
and
can be calculated as follows:

For:

Let's find
and
, where:
![[x_1,x_2]=[-4,3]](https://tex.z-dn.net/?f=%5Bx_1%2Cx_2%5D%3D%5B-4%2C3%5D)

So:

And for:

Let's find
and
, where:
![[x_1,x_2]=[-4,3]](https://tex.z-dn.net/?f=%5Bx_1%2Cx_2%5D%3D%5B-4%2C3%5D)

So:

<em>Translation:</em>
Dada una función
, llamábamos tasa de variación al número que representa el aumento o disminución que experimenta la función al aumentar la variable independiente de un valor "
" a otro "
".
La tasa de variación de
entre
y
, puede ser calculada de la siguiente forma:

Para:

Encontremos
y
, donde:
![[x_1,x_2]=[-4,3]](https://tex.z-dn.net/?f=%5Bx_1%2Cx_2%5D%3D%5B-4%2C3%5D)

Entonces:

Y para:

Encontremos
y
, donde:
![[x_1,x_2]=[-4,3]](https://tex.z-dn.net/?f=%5Bx_1%2Cx_2%5D%3D%5B-4%2C3%5D)

Entonces:

Answer:
3.576 cm
Step-by-step explanation:
radius of ball, r=?
Given:
Density, p = 0.600g/mL
mass, m= 115g
finding volume, v of ball by using formula p=m/v
v= m/p
= 115/0.600
=191.666 mL^3
=191.666 cm^3
Now using formula v= (4/3)πr^3 to find radius, r of the ball
r^3= 3v/4π
= 3(191.666)/4π
=45.75 cm
r =3.5767 cm !
Answer:
k ≥2
Step-by-step explanation:
k+ 1/3≥7/3
Subtract 1/3 from each side
k+ 1/3-1/3≥7/3-1/3
k ≥6/3
k ≥2