Give the domain and range is this (4,2),(5,0),(-2,6),(0,1)

Which equation is a point slope form equation for line AB ?

kap26 [50]

Answer:

$y-5=\frac{3}{4}(x-6)$

Step-by-step explanation:

we know that

The equation of a line in point slope form is equal to

$y-y1=m(x-x1)$

step 1

Find the slope m

we have the points

A(-2,-1),B(6,5)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{5+1}{6+2}$

$m=\frac{6}{8}$

simplify

$m=\frac{3}{4}$

step 2

Find the equation of the line

we have

$(x1,y1)=(6,5)$

$m=\frac{3}{4}$

substitute

$y-y1=m(x-x1)$

$y-5=\frac{3}{4}(x-6)$

3 0

3 years ago

A Little help here 2!!

harina [27]

Answer:

Unit rates are expressed as a quantity of 1, such as 3 feet per second or 6 miles per hour, they are called unit rates.

In the given table shows the number of pictures taken and how much time it took.

For first camera;

Number of pictures (unit rate) per second = $\frac{15}{3} =5$ pictures.

For second Camera:

Number of picture per second = $\frac{48}{8} =6$ pictures.

For third Camera:

Number of picture per second = $\frac{18}{6} =3$ pictures.

The camera that takes picture the fastest is, Second Camera.

(a)

As per the given statement: At Davidson's Bike rentals, it costs $29 to rent a bike for 8 hour.

⇒ unit rate per dollar = $\frac{Number of hours }{Total cost} = \frac{8}{29} = 0.2758620$ hours

Therefore, 0.227 hours (nearest to hundredths) of bike use does a customer get per dollar.

(b)

Jessica bought 18 pounds of sugar for $10.

unit rate per dollar = $\frac{18}{10} =1.8 pounds$

therefore, 1.8 pounds of sugar did she get per dollar.

4 0

3 years ago

What is the formula of (x^3 + y^3) as a factorized form?

Studentka2010 [4]

Answer:

see explanation

Step-by-step explanation:

x³ + y³ ← is a sum of cubes and factors as

(x + y)(x² - xy + y²) ← in factored form

5 0

3 years ago

Which of the following functions is graphed below?

levacccp [35]

Answer:

Step-by-step explanation:-

-

-8239910.76

8 0

3 years ago

What is the horizontal asymptote for y(t) for the differential equation dy dt equals the product of 2 times y and the quantity 1

marta [7]

First, we need to solve the differential equation.
$\frac{d}{dt}\left(y\right)=2y\left(1-\frac{y}{8}\right)$
This a separable ODE. We can rewrite it like this:
$-\frac{4}{y^2-8y}{dy}=dt$
Now we integrate both sides.
$\int \:-\frac{4}{y^2-8y}dy=\int \:dt$
We get:
$\frac{1}{2}\ln \left|\frac{y-4}{4}+1\right|-\frac{1}{2}\ln \left|\frac{y-4}{4}-1\right|=t+c_1$
When we solve for y we get our solution:
$y=\frac{8e^{c_1+2t}}{e^{c_1+2t}-1}$
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity.
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
$$$\lim_{x\to\infty} f(x)$$=y=\frac{8e^{c_1+\infty}}{e^{c_1+\infty}-1} = 8$
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants.
So our asymptote is at y=8.

3 0

3 years ago

Give the domain and range is this (4,2),(5,0),(-2,6),(0,1)​

Give the domain and range is this (4,2),(5,0),(-2,6),(0,1)